Deck 3: Data Description

Question 1

What is the midrange of the following data set?
1, 7, 6, 8, 0, 8, 14, 14, 14

A) 7
B) 8
C) 1
D) 14

Answer 1

A

Question 2

What is the mean of the following data set?
6, 10, 13, 14, 15

A) 9.0
B) 11.6
C) 13.0
D) 16.4

Answer 2

B

Question 3

Find the mean of the following set of values.
4, 11, 9, 7, 9

Answer 3

8.0

Question 4

Which of the following is the properly rounded mean for the given data?
7, 8, 13, 9, 10, 11

A) 10
B) 9.7
C) 9.67
D) 9

Question 5

Find the median for the following data.
6, 7, 4, 5, 3, 7, 4

A) 3
B) 4
C) 5
D) 7

Question 6

Find the mode for the following data?
5, 4, 3, 4, 5, 6, 5, 5, 3, 4

A) 3
B) 4
C) 5
D) 6

Question 7

A random sample of weights (in carats) of sapphires in a jeweler's collection is shown. Find the mean of the sample.

A) 12.20
B) 5.03
C) 4.92
D) 5.95

Question 8

The number of police officers in selected city districts is listed below. Find the mode.
24, 26, 24, 30, 23, 28, 19, 31, 24, 26, 19

A) 23
B) 24
C) 26
D) 28

Question 9

What is the median of the following set of values?
7, 21, 19, 15, 19, 14, 15, 19

A) 13
B) 17
C) 15
D) 19

Question 10

What is the median of the following set of values?
10, 8, 5, 3, 14

A) 5
B) 7
C) 8
D) 9

Question 11

Find the mean, mode, median, and midrange for the following data set.
12, 15, 18, 18, 15, 22, 15, 30, 12

Question 12

For the data set 1, 8, 7, 2, 9, 15, 18, the properly rounded mean is 9.

Question 13

A recent survey of a new diet cola reported the following percentages of people who liked the taste. Find the weighted mean of the percentages.

A) 41
B) 38
C) 36
D) 40

Question 14

Find the median of the following data set.
8, 10, 10, 10, 8, 14

Question 15

Find the mean of the following data set?
11, 6, 9, 4, 15

A) 6.0
B) 8.0
C) 9.0
D) 10.0

Question 16

What is the median of the following data set?
8, 11, 15, 16, 20

A) 14
B) 15
C) 16
D) 18

Question 17

What is the mode of the following data set?
8, 22, 20, 16, 20, 18, 15

A) 14
B) 18
C) 16
D) 20

Question 18

Find the median of the following data set.
2, 9, 6, 5, 2

Question 19

Find the weighted mean for a particular student's scores on three exams if the first one was worth 75 points and the student received a score of 70%, the second was worth 50 points and the student received a score of 80%, and the third was worth 30 points and the student received a score of 95%?

Question 20

Find the mean of the following data set.
7, 9, 9, 9, 7, 13

Question 21

A ______________ is the midpoint in a data array.

Question 22

A distribution in which approximately 68% of the data values fall within one standard deviation of the mean behaves according to

A) the empirical rule.
B) a symmetrical distribution.
C) a boxplot.
D) differential statistics.

Question 23

The variance of a data set is the square root of the standard deviation.

Question 24

A characteristic or measure obtained by using all the data values for a specific population is called a ___________.

A) variable
B) mode
C) statistic
D) parameter

Question 25

The _______________and ______________ are two measures of variation used to describe the spread of the data in a data set.

Question 26

If a distribution is negatively skewed as shown in the figure below, the mean will fall to the right of the median and the mode will fall to the left of the median.

Question 27

The range of a data set is the difference between the highest value and the lowest value.

Question 28

The grades for the trigonometry exam are listed below. Find the range.
85, 76, 93, 82, 84, 90, 75

A) 76
B) 9
C) 11
D) 18

Question 29

Determine the range for the following data set.
4, 15, 8, 6, 20

A) 4
B) 8
C) 16
D) 20

Question 30

In a unimodal, symmetrical distribution as shown in the figure below,

A) the mean is the same as the median, but the mode can be different.
B) the mean, the median, and the mode are the same.
C) the median and the mode are the same, but the mean can be different.
D) the mean, the median, and the mode are different.

Question 31

The ________________ is the mode for grouped data.

Question 32

The range of the following data set is _______.
9, 5, 14, 22, 12

Question 33

The median can be a more appropriate measure of central tendency if the distribution of the data is extremely skewed.

Question 34

A student received the following grades last semester. Find the student's semester grade point average.

A) 3.20
B) 3.80
C) 3.57
D) 3.32

Question 35

Chebyshev's theorem can be used to find the minimum percentage of the values in a data set that will fall within a certain distance of the mean.

Question 36

The coefficient of variation for a data set is the mean divided by the standard deviation, expressed as a percentage.

Question 37

The ______________ is the average of the squares of the distance each value is from the mean.

Question 38

Determine the range for the following data set.
4, 7, 3, 16, 5, 22, 8

A) 4
B) 3
C) 14
D) 19

Question 39

A weighted mean is used when the values of the data set are not all equally represented.

Question 40

_______________ identifies a minimum percentage of the data points that fall within a certain distance of the mean, and it applies to any distribution regardless of its shape.

Question 41

Given that the variance for a data set is 1.20, what is the standard deviation?

A) 1.10
B) 1.44
C) 1.20
D) 0.60

Question 42

The percentile corresponding to a given data value X is computed by adding the 0.5 to number of values less than X then dividing by the total number of values in the data set.

Question 43

Which of the following is true?

A)
B)
C)
D)

Question 44

If a set of data has mean 48 and variance 9, then it's coefficient of variation is ________.

Question 45

The costs per load (in cents) of 26 dish-washing detergents tested by a consumer organization are shown here. Find the standard deviation of the sample.

A) 10.2
B) 10.0
C) 10.4
D) 5.9

Question 46

What is the range of the set of values 4, 8, 2, 9, and 17.

A) 4
B) 8
C) 19
D) 15

Question 47

Find the range of the set of values 7, 15, 3, 10, and 5.

A) 3
B) 15
C) 9
D) 12

Question 48

Indicate which student has the higher z score.

A) The art major has a higher score than the theater major.
B) The theater major has a higher score than the art major.
C) Both students have the same score.
D) Neither student received a positive score; therefore, the higher score cannot be determined.

Question 49

If a student scored 88 points on a test where the mean score was 80.2 and the standard deviation was 5.7. The student's z score is _______.

A) 14.07
B) 15.44
C) 0.24
D) 1.37

Question 50

The average age of Stokes County school board members over the last 40 years has been 55, but members have ranged from 32 to 70. Use the range rule of thumb to estimate the standard deviation of the members' ages.

A) 19
B) 25.5
C) 9.5
D) 52.3

Question 51

______________ are either extremely high or extremely low data values compared with the rest of the data.

Question 52

The interquartile range IQR is found by subtracting the mean from the maximum value of a data set.

Question 53

A baseball player has a batting average of 0.325 each week of the season, with a standard deviation of 0.065. What is the z score when he bats 0.410 one week?

A) 1.308
B) 0.410
C) 0.325
D) 1.275

Question 54

If a data set has 16 values and a standard deviation 9.4, then the variance is ________.

A) 88.4
B) 2.3
C) 22.1
D) 37.6

Question 55

______________ divide a distribution into four groups, and __________divide a distribution into ten groups.

Question 56

According to Chebyshev's theorem, the maximum proportion of data values from a data set that are more than 1.5 standard deviations from the mean is _________.

A) 0.67
B) 0.17
C) 1.33
D) 0.44

Question 57

Given that the mean of a set of data is 25 and the standard deviation is 3, what is the coefficient of variation?

A) 0.12
B) 12%
C) 8.33
D) 833%

Question 58

For a set of data with a mean of 12 and a variance of 25, approximately 68% of the values will fall between 7 to 17.

Question 59

If a set of data has 81 values with a variance of 26.0, then the standard deviation is _________.

A) 2.9
B) 0.6
C) 0.3
D) 5.1

Question 60

The average resident of Metro City produces 640 pounds of solid waste each year, and the standard deviation is approximately 90 pounds. Use Chebyshev's theorem to find the weight range that contains at least 75% of all residents' annual garbage weights.

A) Between 550 and 730 pounds
B) Between 280 and 1000 pounds
C) Between 370 and 910 pounds
D) Between 460 and 820 pounds

Question 61

Given the following boxplot where m is the median value, what statement could be made about the distribution of the data?

A) The distribution is approximately symmetric.
B) The distribution is positively skewed.
C) The distribution is negatively skewed.
D) The data are nominal and consequently can not be identified as symmetric or skewed.

Question 62

Which plot below has a five-number summary of 5, 7, 8, 12, 13 and an interquartile range of 5?

A)
B)
C)
D)

Question 63

Check the following data set for outliers.
43, 52, 54, 54, 56, 57, 59, 61

Question 64

The data shown represents the high scores for members of a bowling league over a particular season. Find the approximate percentile rank of a score of 266 by constructing a percentile graph.

A) 77
B) 72
C) 67
D) 62

Question 65

Using the table below, what grade would a student who ranked in the 50th percentile receive.

A) B
B) C
C) D
D) F

Question 66

The average weekly earnings in dollars for various industries are listed below. Find the percentile rank of 604.
701, 604, 538, 625, 574, 659, 735, 513, 789, 847

A) 25th
B) 45th
C) 40th
D) 35th

Question 67

The average weight of adult male bison in a particular federal wildlife preserve is 1650 pounds with a standard deviation of 250 pounds. Find the weight of an adult bull whose z-score is -0.5.

A) 1775 lb
B) 1525 lb
C) 1400 lb
D) 1650 lb

Question 68

The size of the box in a boxplot shows the ____________________ of the data set.

A) difference between the mean and the median
B) variance
C) skewness
D) interquartile range

Question 69

Given the following data set, find the approximate value that corresponds to the 75th percentile.
10, 44, 15, 23, 14, 18, 72, 56

Question 70

A five-number summary of a data set consists of the minimum, , the median, , and the maximum.

Question 71

If a student scored 75 points on a test where the mean score was 83.5 and the standard deviation was 6.1. The student's z score is ________.

A) 13.69
B) 0.23
C) -0.23
D) -1.39

Question 72

Make a boxplot for the following data set.
24, 15, 34, 92, 68, 34, 78, 45, 53, 67, 83, 46

Question 73

Identify the five-number summary of the following data set.
7, 11, 21, 28, 32, 33, 37, 43.

A) 7, 16, 30, 35, 43
B) 7, 21, 30, 33, 43
C) 7, 11, 28, 33, 43
D) 7, 21, 26.5, 33, 43