# Quiz 3: Descriptive Statistics: Numerical Measures

Statistics

Q 1Q 1

The measure of location which is the most likely to be influenced by extreme values in the data set is the
A) range
B) median
C) mode
D) mean

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Multiple Choice

D

Q 2Q 2

The most important statistical descriptive measure of the location of a data set is the
A) mean
B) median
C) mode
D) variance

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Multiple Choice

A

Q 3Q 3

If two groups of numbers have the same mean, then
A) their standard deviations must also be equal
B) their medians must also be equal
C) their modes must also be equal
D) None of these alternatives is correct.

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Multiple Choice

D

Q 4Q 4

The mean of the sample
A) is always smaller than the mean of the population from which the sample was taken
B) can never be zero
C) can never be negative
D) None of these alternatives is correct.

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Multiple Choice

Q 5Q 5

When the smallest and largest percentage of items are removed from a data set and the mean is computed, the mean of the remaining data is
A) the median
B) the mode
C) the trimmed mean
D) any of the above

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Multiple Choice

Q 6Q 6

Since the population is always larger than the sample, the value of the sample mean
A) is always smaller than the true value of the population mean
B) is always larger than the true value of the population mean
C) is always equal to the true value of the population mean
D) could be larger, equal to, or smaller than the true value of the population mean

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Multiple Choice

Q 7Q 7

Which of the following provides a measure of central location for the data?
A) standard deviation
B) mean
C) variance
D) range

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Multiple Choice

Q 8Q 8

When computing the mean of a set of values xi, the value of ∑xi
A) can never be zero
B) can never be negative
C) must always be positive
D) can be any value

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Multiple Choice

Q 9Q 9

In computing the mean of a sample, the value of ∑xi is divided by
A) n
B) n - 1
C) n + 1
D) n - 2

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Multiple Choice

Q 10Q 10

A numerical value used as a summary measure for a sample, such as sample mean, is known as a
A) population parameter
B) sample parameter
C) sample statistic
D) population mean

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Multiple Choice

Q 11Q 11

Since the population size is always larger than the sample size, then the sample statistic
A) can never be larger than the population parameter
B) can never be equal to the population parameter
C) can be smaller, larger, or equal to the population parameter
D) can never be smaller than the population parameter

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Multiple Choice

Q 12Q 12

μ is an example of a
A) population parameter
B) sample statistic
C) population variance
D) mode

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Multiple Choice

Q 13Q 13

The mean of a sample
A) is always equal to the mean of the population
B) is always smaller than the mean of the population
C) is computed by summing the data values and dividing the sum by n - 1)
D) is computed by summing all the data values and dividing the sum by the number of items

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Multiple Choice

Q 14Q 14

The hourly wages of a sample of 130 system analysts are given below. mean = 60 range = 20
Mode = 73 variance = 324
Median = 74
The coefficient of variation equals
A) 0.30%
B) 30%
C) 5.4%
D) 54%

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Multiple Choice

Q 15Q 15

The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals
A) 13
B) 24
C) 576
D) 28,461

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Multiple Choice

Q 16Q 16

The median of a sample will always equal the
A) mode
B) mean
C) 50th percentile
D) all of the above answers are correct

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Multiple Choice

Q 17Q 17

The median is a measure of
A) relative dispersion
B) absolute dispersion
C) central location
D) relative location

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Multiple Choice

Q 19Q 19

The 75th percentile is referred to as the
A) first quartile
B) second quartile
C) third quartile
D) fourth quartile

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Multiple Choice

Q 20Q 20

The pth percentile is a value such that at least p percent of the observations are
A) less than or equal to this value
B) less than this value
C) more than or equal to this value
D) more than this value

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Multiple Choice

Q 21Q 21

The difference between the largest and the smallest data values is the
A) variance
B) interquartile range
C) range
D) coefficient of variation

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Multiple Choice

Q 22Q 22

The first quartile
A) contains at least one third of the data elements
B) is the same as the 25th percentile
C) is the same as the 50th percentile
D) is the same as the 75th percentile

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Multiple Choice

Q 23Q 23

When computing the mean, the smallest value
A) can never be negative
B) can never be zero
C) can never be less than the mean
D) can be any value

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Q 24Q 24

Which of the following is not a measure of central location?
A) mean
B) median
C) variance
D) mode

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Multiple Choice

Q 25Q 25

If a data set has an even number of observations, the median
A) cannot be determined
B) is the average value of the two middle items
C) must be equal to the mean
D) is the average value of the two middle items when all items are arranged in ascending order

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Multiple Choice

Q 26Q 26

Which of the following is a measure of dispersion?
A) percentiles
B) quartiles
C) interquartile range
D) all of the above are measures of dispersion

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Multiple Choice

Q 27Q 27

The value which has half of the observations above it and half the observations below it is called the
A) range
B) median
C) mean
D) mode

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Multiple Choice

Q 28Q 28

The most frequently occurring value of a data set is called the
A) range
B) mode
C) mean
D) median

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Multiple Choice

Q 29Q 29

The interquartile range is
A) the 50th percentile
B) another name for the variance
C) the difference between the largest and smallest values
D) the difference between the third quartile and the first quartile

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Multiple Choice

Q 30Q 30

The weights in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. mean = 160 range = 60
Mode = 165 variance = 324
Median = 170
The coefficient of variation equals
A) 0.1125%
B) 11.25%
C) 203.12%
D) 0.20312%

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Multiple Choice

Q 31Q 31

The heights in inches) of 25 individuals were recorded and the following statistics were calculated mean = 70 range = 20
Mode = 73 variance = 784
Median = 74
The coefficient of variation equals
A) 11.2%
B) 1120%
C) 0.4%
D) 40%

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Multiple Choice

Q 32Q 32

The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals
A) 8
B) 10
C) 6400
D) 4,096

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Multiple Choice

Q 33Q 33

The variance of a sample of 81 observations equals 64. The standard deviation of the sample equals
A) 9
B) 4096
C) 8
D) 6561

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Multiple Choice

Q 34Q 34

If index i which is used to determine the location of the pth percentile) is not an integer, its value should be
A) squared
B) divided by n - 1)
C) rounded down
D) rounded up

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Multiple Choice

Q 35Q 35

When the data are skewed to the right, the measure of Skewness will be
A) negative
B) zero
C) positive
D) one

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Multiple Choice

Q 36Q 36

When data are positively skewed, the mean will usually be
A) greater than the median
B) smaller than the median
C) equal to the median
D) positive

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Multiple Choice

Q 37Q 37

Which of the following is not a measure of dispersion?
A) the range
B) the 50th percentile
C) the standard deviation
D) the interquartile range

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Multiple Choice

Q 38Q 38

The interquartile range is used as a measure of variability to overcome what difficulty of the range?
A) the sum of the range variances is zero
B) the range is difficult to compute
C) the range is influenced too much by extreme values
D) the range is negative

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Multiple Choice

Q 39Q 39

If the variance of a data set is correctly computed with the formula using n - 1 in the denominator, which of the following is true?
A) the data set is a sample
B) the data set is a population
C) the data set could be either a sample or a population
D) the data set is from a census

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Multiple Choice

Q 40Q 40

In computing descriptive statistics from grouped data,
A) data values are treated as if they occur at the midpoint of a class
B) the grouped data result is more accurate than the ungrouped result
C) the grouped data computations are used only when a population is being analyzed
D) None of these alternatives is correct.

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Multiple Choice

Q 41Q 41

The measure of dispersion that is influenced most by extreme values is
A) the variance
B) the standard deviation
C) the range
D) the interquartile range

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Multiple Choice

Q 42Q 42

When should measures of location and dispersion be computed from grouped data rather than from individual data values?
A) as much as possible since computations are easier
B) only when individual data values are unavailable
C) whenever computer packages for descriptive statistics are unavailable
D) only when the data are from a population

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Multiple Choice

Q 43Q 43

The descriptive measure of dispersion that is based on the concept of a deviation about the mean is
A) the range
B) the interquartile range
C) the absolute value of the range
D) the standard deviation

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Multiple Choice

Q 44Q 44

The numerical value of the standard deviation can never be
A) larger than the variance
B) zero
C) negative
D) smaller than the variance

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Multiple Choice

Q 45Q 45

The sample variance
A) is always smaller than the true value of the population variance
B) is always larger than the true value of the population variance
C) could be smaller, equal to, or larger than the true value of the population variance
D) can never be zero

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Multiple Choice

Q 46Q 46

The coefficient of variation is
A) the same as the variance
B) the standard deviation divided by the mean times 100
C) the square of the standard deviation
D) the mean divided by the standard deviation

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Multiple Choice

Q 47Q 47

The variance can never be
A) zero
B) larger than the standard deviation
C) negative
D) smaller than the standard deviation

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Multiple Choice

Q 48Q 48

The sum of deviations of the individual data elements from their mean is
A) always greater than zero
B) always less than zero
C) sometimes greater than and sometimes less than zero, depending on the data elements
D) always equal to zero

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Multiple Choice

Q 49Q 49

Which of the following symbols represents the standard deviation of the population?
A) σ2
B) σ
C) μ
D)

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Multiple Choice

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Multiple Choice

Q 51Q 51

Which of the following symbols represents the variance of the population?
A) σ2
B) σ
C) μ
D)

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Multiple Choice

Q 55Q 55

The symbol σ is used to represent
A) the variance of the population
B) the standard deviation of the sample
C) the standard deviation of the population
D) the variance of the sample

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Multiple Choice

Q 56Q 56

The symbol σ2 is used to represent
A) the variance of the population
B) the standard deviation of the sample
C) the standard deviation of the population
D) the variance of the sample

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Multiple Choice

Q 57Q 57

The variance of the sample
A) can never be negative
B) can be negative
C) cannot be zero
D) cannot be less than one

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Multiple Choice

Q 58Q 58

The measure of dispersion which is not measured in the same units as the original data is the
A) median
B) standard deviation
C) coefficient of determination
D) variance

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Multiple Choice

Q 59Q 59

A numerical measure of linear association between two variables is the
A) variance
B) covariance
C) standard deviation
D) coefficient of variation

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Multiple Choice

Q 60Q 60

Positive values of covariance indicate
A) a positive variance of the x values
B) a positive variance of the y values
C) the standard deviation is positive
D) positive relation between the independent and the dependent variables

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Multiple Choice

Q 61Q 61

A numerical measure of linear association between two variables is the
A) variance
B) coefficient of variation
C) correlation coefficient
D) standard deviation

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Multiple Choice

Q 62Q 62

The coefficient of correlation ranges between
A) 0 and 1
B) -1 and +1
C) minus infinity and plus infinity
D) 1 and 100

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Multiple Choice

Q 63Q 63

The coefficient of correlation
A) is the same as the coefficient of determination
B) can be larger than 1
C) cannot be larger than 1
D) cannot be negative

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Multiple Choice

Q 64Q 64

The value of the sum of the deviations from the mean, i.e., must always be
A) less than the zero
B) negative
C) either positive or negative depending on whether the mean is negative or positive
D) zero

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Multiple Choice

Q 65Q 65

The numerical value of the variance
A) is always larger than the numerical value of the standard deviation
B) is always smaller than the numerical value of the standard deviation
C) is negative if the mean is negative
D) can be larger or smaller than the numerical value of the standard deviation

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Multiple Choice

Q 66Q 66

Since the median is the middle value of a data set it
A) must always be smaller than the mode
B) must always be larger than the mode
C) must always be smaller than the mean
D) None of these alternatives is correct.

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Multiple Choice

Q 67Q 67

In a five number summary, which of the following is not used for data summarization?
A) the smallest value
B) the largest value
C) the mean
D) the 25th percentile

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Multiple Choice

Q 68Q 68

The relative frequency of a class is computed by
A) dividing the midpoint of the class by the sample size
B) dividing the frequency of the class by the midpoint
C) dividing the sample size by the frequency of the class
D) dividing the frequency of the class by the sample size

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Multiple Choice

Q 69Q 69

During a cold winter, the temperature stayed below zero for ten days ranging from -20 to -5). The variance of the temperatures of the ten-day period
A) is negative since all the numbers are negative
B) must be at least zero
C) cannot be computed since all the numbers are negative
D) can be either negative or positive

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Multiple Choice

Q 70Q 70

Which of the following is not a measure of dispersion?
A) mode
B) standard deviation
C) range
D) interquartile range

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Multiple Choice

Q 71Q 71

If the coefficient of variation is 40% and the mean is 70, then the variance is
A) 28
B) 2800
C) 1.75
D) 784

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Multiple Choice

Q 72Q 72

Given the following information: Standard deviation = 8 Coefficient of variation = 64%
The mean would then be
A) 12.5
B) 8
C) 0.64
D) 1.25

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Multiple Choice

Q 73Q 73

Since the mode is the most frequently occurring data value, it
A) can never be larger than the mean
B) is always larger than the median
C) is always larger than the mean
D) None of these alternatives is correct.

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Multiple Choice

Q 74Q 74

A group of students had dinner at a local restaurant. The total bill for the dinner was $414.70. Each student paid his/her equal share of the bill, which was $18.85. How many students were at the dinner?
A) 4
B) 415
C) 19
D) 22

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Multiple Choice

Q 75Q 75

The standard deviation of a sample was reported to be 20. The report indicated that = 7200. What has been the sample size?
A) 16
B) 17
C) 18
D) 19

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Multiple Choice

Q 76Q 76

The variance of a sample was reported to be 144. The report indicated that = 7200. What has been the sample size?
A) 49
B) 50
C) 51
D) 52

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Multiple Choice

Q 77Q 77

From a population of size 1,000, a random sample of 100 items is selected. The mean of the sample
A) must be 10 times smaller than the mean of the population
B) must be equal to the mean of the population, if the sample is truly random
C) must be 10 times larger than the mean of the population
D) can be larger, smaller or equal to the mean of the population

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Multiple Choice

Q 78Q 78

From a population of size 500, a random sample of 50 items is selected. The mode of the sample
A) must be 500
B) must be equal to the mode of population, if the sample is truly random
C) must be equal to the mean of the population, if the sample is truly random
D) can be larger, smaller or equal to the mode of the population

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Multiple Choice

Q 79Q 79

From a population of size 400, a random sample of 40 items is selected. The median of the sample
A) must be 200, since 400 divided by 2 is 200
B) must be 10, since 400 divided by 400 is 10
C) must be equal to the median of population, if the sample is truly random
D) None of these alternatives is correct.

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Multiple Choice

Q 80Q 80

A box plot is a graphical technique which is used for
A) only one group of data
B) making comparisons between only two groups
C) making comparisons between two or more groups
D) summing the deviations from the mean and placing the sum in a box

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Multiple Choice

Q 81Q 81

Since the size of the population is always larger than the size of the sample, the population mean must
A) always be smaller than the sample mean
B) be larger than the sample mean
C) be equal to the sample mean
D) None of these alternatives is correct.

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Multiple Choice

Q 82Q 82

If the mean of a data set is zero, then the standard deviation
A) must also be zero
B) must be 1
C) can be any value
D) can be any positive value

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Multiple Choice

Q 83Q 83

For 27 days, the temperature in Fairbanks, Alaska has been below zero. Thus, the mean temperature has been negative. In this situation, the standard deviation must be
A) negative
B) less than zero
C) any value
D) zero and above

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Multiple Choice

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Multiple Choice

Q 85Q 85

The following chart is an example of a
A) Price chart
B) stacked bar chart
C) side by side chart
D) good to excellent chart

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Multiple Choice

Q 86Q 86

A measure of location that is calculated by finding the nth root of the product of the n values is known as
A) square root mean
B) mean square root
C) mean square error
D) the Geometric mean

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Multiple Choice

Q 87Q 87

The median of a sample containing the values of -4, -2, +2, +4 is
A) zero
B) 1.000
C) 2.000
D) 4.000

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Multiple Choice

Q 88Q 88

A bar chart in which each bar is broken into rectangular segments of a different color showing the relative frequency of each class in a manner similar to a pie chart.is referred to as a
A) side by side chart
B) frequency bar chart
C) broken bar chart
D) stacked bar chart

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Multiple Choice

Q 89Q 89

Exhibit 3-1
The following data show the number of hours worked by 200 statistics students.
-Refer to Exhibit 3-1. The class width for this distribution
A) is 9
B) is 10
C) is 11
D) varies from class to class

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Multiple Choice

Q 90Q 90

Exhibit 3-1
The following data show the number of hours worked by 200 statistics students.
-Refer to Exhibit 3-1. The number of students working 19 hours or less
A) is 40
B) is 50
C) is 90
D) cannot be determined without the original data

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Multiple Choice

Q 91Q 91

Exhibit 3-1
The following data show the number of hours worked by 200 statistics students.
-Refer to Exhibit 3-1. The relative frequency of students working 9 hours or less
A) is .2
B) is .45
C) is 40
D) cannot be determined from the information given

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Multiple Choice

Q 92Q 92

Exhibit 3-1
The following data show the number of hours worked by 200 statistics students.
-Refer to Exhibit 3-1. The cumulative relative frequency for the class of 10 - 19
A) is 90
B) is .25
C) is .45
D) cannot be determined from the information given

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Multiple Choice

Q 93Q 93

Exhibit 3-2
A researcher has collected the following sample data
-Refer to Exhibit 3-2. The median is
A) 5
B) 6
C) 7
D) 8

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Multiple Choice

Q 94Q 94

Exhibit 3-2
A researcher has collected the following sample data
-Refer to Exhibit 3-2. The mode is
A) 5
B) 6
C) 7
D) 8

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Multiple Choice

Q 95Q 95

Exhibit 3-2
A researcher has collected the following sample data
-Refer to Exhibit 3-2. The mean is
A) 5
B) 6
C) 7
D) 8

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Multiple Choice

Q 96Q 96

Exhibit 3-2
A researcher has collected the following sample data
-Refer to Exhibit 3-2. The 75th percentile is
A) 5
B) 6
C) 7
D) 8

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Multiple Choice

Q 97Q 97

Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The variance is
A) 80
B) 4.062
C) 13.2
D) 16.5

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Multiple Choice

Q 98Q 98

Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The standard deviation is
A) 8.944
B) 4.062
C) 13.2
D) 16.5

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Multiple Choice

Q 99Q 99

Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The coefficient of variation is
A) 72.66%
B) 81.24%
C) 264%
D) 330%

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Multiple Choice

Q 100Q 100

Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The range is
A) 1
B) 2
C) 10
D) 12

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Multiple Choice

Q 101Q 101

Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The interquartile range is
A) 1
B) 2
C) 10
D) 12

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Multiple Choice

Q 102Q 102

Exhibit 3-4
The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway.
-Refer to Exhibit 3-4. The mean is
A) 35
B) 670
C) 10
D) 67

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Multiple Choice

Q 103Q 103

Exhibit 3-4
The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway.
-Refer to Exhibit 3-4. The variance is
A) 6.969
B) 7.071
C) 48.570
D) 50.000

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Multiple Choice

Q 104Q 104

Exhibit 3-4
The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway.
-Refer to Exhibit 3-4. The standard deviation is
A) 6.969
B) 7.071
C) 48.570
D) 50.000

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Multiple Choice

Q 105Q 105

Exhibit 3-5
You are given the following frequency distribution.
-Refer to Exhibit 3-5. The mean is
A) 500
B) 26.315
C) 30
D) 25

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Multiple Choice

Q 106Q 106

Exhibit 3-5
You are given the following frequency distribution.
-Refer to Exhibit 3-5. The variance is
A) 570
B) 5.477
C) 500
D) 30

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Multiple Choice

Q 107Q 107

Exhibit 3-5
You are given the following frequency distribution.
-Refer to Exhibit 3-5. The standard deviation is
A) 570
B) 5.477
C) 25
D) 30

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Multiple Choice

Q 108Q 108

Exhibit 3-5
You are given the following frequency distribution.
-Refer to Exhibit 3-5. The coefficient of variation is
A) 25%
B) 21.91%
C) 5.477%
D) 30%

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Multiple Choice

Q 109Q 109

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-Refer to Exhibit 3-6. The mean is
A) 84
B) 85
C) 86
D) 87

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Multiple Choice

Q 110Q 110

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-Refer to Exhibit 3-6. The mode is
A) 84
B) 85
C) 86
D) 87

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Multiple Choice

Q 111Q 111

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-Refer to Exhibit 3-6. The median is
A) 84
B) 85
C) 86
D) 87

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Multiple Choice

Q 112Q 112

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-Refer to Exhibit 3-6. The range is
A) 7
B) 8
C) 9
D) 91

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Multiple Choice

Q 113Q 113

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-Refer to Exhibit 3-6. The variance is
A) 2.828
B) 8
C) 9
D) 81

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Multiple Choice

Q 114Q 114

Exhibit 3-6
The closing stock price of MNM Corporation for the last 7 trading days is shown below.
-The variance of a sample containing the values of -2, 1, and 1 is
A) zero
B) 1.732
C) 2.000
D) 3.000

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Multiple Choice

Q 115Q 115

In 2013, the average age of students at UTC was 22 with a standard deviation of 3.96. In 2014, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer.

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Essay

Q 116Q 116

Consider the data in the following frequency distribution. Assume the data represent a population.
For the above data, compute the following.
a. The mean
b. The variance
c. The standard deviation

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Essay

Q 117Q 117

In 2013, the average donation to the Help Way was $225 with a standard deviation of $45. In 2014, the average donation was $400 with a standard deviation of $60. In which year did the donations show a more dispersed distribution?

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Essay

Q 118Q 118

The following frequency distribution shows the ACT scores of a sample of students:
For the above data, compute the following.
a. The mean
b. The standard deviation

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Essay

Q 119Q 119

The following data show the yearly salaries of football coaches at some state supported universities.
For the above sample, determine the following measures.
a. The mean yearly salary
b. The standard deviation
c. The mode
d. The median
e. The 70th percentile

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Essay

Q 120Q 120

The ages of a sample of 8 faculty members selected from the School of Business Administration are shown below.
a. Compute the average age.
b. Determine the mode.
c. Compute the median age.
d. Compute the standard deviation.

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Essay

Q 121Q 121

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?

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Essay

Q 122Q 122

The following is a frequency distribution for the ages of a sample of employees at a local company.
a. Determine the average age for the sample.
b. Compute the variance.
c. Compute the standard deviation.
d. Compute the coefficient of variation.

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Essay

Q 123Q 123

The number of hours worked per week for a sample of ten students is shown below.
a. Determine the median and explain its meaning.
b. Compute the 70th percentile and explain its meaning.
c. What is the mode of the above data? What does it signify?

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Essay

Q 124Q 124

The frequency distribution below shows the monthly expenditure on gasoline for a sample of 14 individuals.
a. Compute the mean.
b. Compute the standard deviation.

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Essay

Q 125Q 125

The average wage of Tennessee cashiers is $14 per hour with a standard deviation of $4.20. In Georgia, the average wage of cashiers is $16 with a standard deviation of $4.40. In which state do the wages of cashiers appear to be more dispersed?

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Essay

Q 126Q 126

The following is a frequency distribution of grades of a sample of statistics examinations.
Compute the following measures:
a. The mean
b. The variance
c. The standard deviation
d. The coefficient of variation

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Essay

Q 127Q 127

For the following frequency distribution,
a. Compute the mean.
b. Compute the standard deviation. Assume the data represent a population.)

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Essay

Q 128Q 128

For the following frequency distribution assume the data represent a population),
a. Compute the mean.
b. Compute the standard deviation.

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Q 129Q 129

The starting salaries of a sample of college students are given below.
a. Compute the mean.
b. Compute the variance.
c. Compute the standard deviation.
d. Compute the coefficient of variation.

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Essay

Q 130Q 130

The following frequency distribution shows the time in minutes) that a sample of students uses the computer terminals per day.
a. Compute the mean.
b. Compute the variance.
c. Compute the standard deviation.
d. Compute the coefficient of variation.

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Essay

Q 131Q 131

A sample of charge accounts at a local drug store revealed the following frequency distribution of unpaid balances.
a. Determine the mean unpaid balance.
b. Determine the variance.
c. Determine the standard deviation.
d. Compute the coefficient of variation.

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Essay

Q 132Q 132

In Chattanooga, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In Nashville, the average donation was $1,600 with a standard deviation of $240. In which city do the donations show a more dispersed distribution?

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Essay

Q 133Q 133

The following data represent the daily demand y in thousands of units) and the unit price x in dollars) for a product.
a. Compute and interpret the sample covariance for the above data.
b. Compute and interpret the sample correlation coefficient.

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Essay

Q 134Q 134

The following observations are given for two variables.
a. Compute and interpret the sample covariance for the above data.
b. Compute the standard deviation for x.
c. Compute the standard deviation for y.
d. Compute and interpret the sample correlation coefficient.

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Short Answer

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Short Answer

Q 137Q 137

The following frequency distribution shows the yearly tuition in $1,000s) of a sample of private colleges.
For the above data, compute the mean yearly tuition. Give your answer in dollars.)

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Short Answer

Q 138Q 138

The following data represent the daily supply y in thousands of units) and the unit price x in dollars) for a product.
a. Compute and interpret the sample covariance for the above data.
b. Compute the standard deviation for the daily supply.
c. Compute the standard deviation for the unit price.
d. Compute and interpret the sample correlation coefficient.

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Q 139Q 139

The Michael Painting Company has purchased paint from several suppliers. The purchase price per gallon and the number of gallons purchased are shown below.
Compute the weighted average price per gallon.

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Short Answer

Q 140Q 140

In the fall semester of 2013, the average Graduate Management Admission Test GMAT) of the students at a local college was 500 with a standard deviation of 80. In the fall of 2014, the average GMAT was 560 with a standard deviation of 84. Which year's GMAT scores show a more dispersed distribution?

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Essay

Q 141Q 141

The following frequency distribution shows the starting salaries in $1,000s) of a sample of business students:
For the above data, compute the mean starting salary: Give your answer in dollars.)

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Short Answer

Q 142Q 142

Marissa, a freshman at a local college, just completed 18 credit hours. Her grade report is presented below.
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Marissa's semester grade point average.

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Short Answer

Q 143Q 143

The price of a selected stock over a five day period is shown below. 17, 11, 13, 17, 16
Using the above data, compute the mean, the median, and the mode.

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Short Answer

Q 144Q 144

Global Engineers hired the following number of Class 1 engineers during the first six months of the past year. Assume the data represent a sample.)
a. Determine the mean, the median, the mode, and the range for the above data.
b. Compute the variance and the standard deviation.
c. Compute the first and the third quartiles.
d. Compute the z-scores for the months of May and June.

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Essay

Q 145Q 145

In a statistics class, the average grade on the final examination was 75 with a standard deviation of 5. Use
Chebyshev's theorem to answer the following questions.
a. At least what percentage of the students received grades between 50 and 100?
b. Determine an interval for the grades that will be true for at least 70% of the students.
Hint: First, compute the Z-score.)

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Essay

Q 146Q 146

The flashlight batteries produced by one of the northern manufacturers are known to have an average life of 60 hours with a standard deviation of 4 hours. Use Chebyshev's theorem to answer the following questions.
a. At least what percentage of flashlights will have a life of 54 to 66 hours?
b. At least what percentage of the batteries will have a life of 52 to 68 hours?
c. Determine an interval for the batteries lives that will be true for at least 80% of the batteries.
Hint: First compute the Z-score.)

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Q 147Q 147

The standard deviation of a sample was reported to be 7. The report indicated that = 980. What has been the sample size?

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Short Answer

Q 148Q 148

The variance of a sample was reported to be 81. The report indicated that = 972. What has been the sample size?

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Q 149Q 149

The following data show the yearly salaries of a sample of EMBA graduates.
a. Compute the mean yearly salary and give your answer in dollars.
b. Compute the standard deviation and give your answer in dollars.
c. Compute the 75th percentile and give your answer in dollars. Fully explain what the value that you have determined indicates.

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Q 150Q 150

Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below.
a. Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer.
b. Compare the Skewness of the two and explain what is indicated.

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Essay

Q 151Q 151

The following frequency distribution shows the GMAT scores of a sample of MBA students.
For the above data, compute the mean GMAT score.

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Short Answer

Q 152Q 152

The last semester grades of Nancy, a freshman at a local college are shown below.
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Nancy's
semester grade point average.

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Short Answer

Q 153Q 153

The following data show the yearly salaries of a sample of MBA graduates.
a. Compute the mean yearly salary and give your answer in dollars.
b. Compute the standard deviation and give your answer in dollars.
c. Compute the 75th percentile and give your answer in dollars. Fully explain what the value that you have determined indicates.

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Essay

Q 154Q 154

Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below.
a. Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer.
b. Compare the Skewness' of the two and explain what is indicated.

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Essay

Q 155Q 155

The following frequency distribution shows the GMAT scores of a sample of MBA students:
For the above data, compute the mean GMAT score.

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Short Answer

Q 156Q 156

Last semester grades of Michael, a freshman at a local college are shown below.
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Michael's
semester grade point average.

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Short Answer

Q 157Q 157

Population of a city for the years 2010 through 2014 are shown below.
a. Compute the growth rate for the years 2011 through 2014.
b. Compute the geometric mean.
c. What has been the percentage of growth in the population of the city between 2011 to 2014?

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