# Quiz 4: Describing Data: Displaying and Exploring Data

Statistics

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True False

False

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True False

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True False

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Q 9Q 9

A student scored in the 85

^{th}percentile on a standardized test. This means that the student scored lower than 85% of all students who took the test.Free

True False

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True False

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True False

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True False

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True False

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True False

Q 16Q 16

If a distribution is negatively skewed,the distribution is not symmetrical and the long tail is to the left.

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True False

Q 17Q 17

A scatter diagram of sales versus production is labeled with sales on the Y-axis and production on the X-axis.

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True False

Q 18Q 18

A scatter diagram of sales versus production may be constructed by plotting the minimum,first quartile,median,third quartile,and maximum values of each variable.

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True False

Q 19Q 19

A scatter diagram is used to illustrate a relationship between gender and the preference for Coke or Pepsi.

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True False

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True False

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True False

Q 23Q 23

In a stem-and-leaf display,the leaf represents the members of a class in a frequency distribution.

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True False

Q 24Q 24

A dot plot shows ________.
A)the general shape of a distribution
B)the mean,median,and mode
C)the relationship between two variables
D)the interquartile range

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Multiple Choice

Q 25Q 25

A dot plot is best applied when ________.
A)the mean,median,and mode are equal
B)the general shape of a distribution is symmetric
C)the relationship between two variables is summarized
D)a single variable is summarized

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Multiple Choice

Q 26Q 26

A dot plot is best applied for a data set with ________.
A)1,000 observations
B)50 observations
C)more than one variable
D)one mode

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Multiple Choice

Q 27Q 27

A dot plot can be used to show ________.
A)the mean,median,and mode
B)the general shape of a distribution for a nominal qualitative variable
C)the distribution for a quantitative variable
D)the interquartile range

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Multiple Choice

Q 28Q 28

The following graph is a ________.
A)Dot plot
B)Stem-and-leaf diagram
C)Box plot
D)Contingency table

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Q 29Q 29

The test scores for a class of 147 students are computed. What is the location of the test score associated with the third quartile?
A)111
B)37
C)74
D)75%

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Multiple Choice

Q 30Q 30

Quartiles divide a distribution into ________.
A)2 equal parts
B)4 equal parts
C)10 equal parts
D)100 equal parts

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Multiple Choice

Q 31Q 31

In a distribution,the second quartile corresponds with the ________.
A)mean
B)median
C)mode
D)variance

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Q 32Q 32

Percentiles divide a distribution into ________.
A)2 equal parts
B)4 equal parts
C)10 equal parts
D)100 equal parts

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Multiple Choice

Q 33Q 33

To locate the percentile for a given observation in a data set,the data must be ________.
A)sorted and listed from the minimum to the maximum values
B)displayed in a histogram
C)summarized in a frequency distribution
D)distributed symmetrically around the mean

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Multiple Choice

Q 34Q 34

If a student places in the 99th percentile on an exam,she performed better than 99% of all students who completed the exam. Her performance is similar to a statement based on a ________.
A)frequency table
B)cumulative frequency distribution
C)histogram
D)pie chart

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Multiple Choice

Q 35Q 35

In the following set of data: (1,3,5,6,7,9,100),what are the first,second,and third quartiles?
A)1,6,and 100
B)3,5,and 9
C)3,6,and 9
D)1,5,and 100

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Multiple Choice

Q 36Q 36

The following graph is a ________.
A)dot plot
B)stem-and-leaf display
C)box plot
D)contingency table

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Multiple Choice

Q 37Q 37

What statistics are needed to draw a box plot?
A)The minimum,maximum,median,first and third quartiles
B)The median,mean,and standard deviation
C)The median and interquartile range
D)The mean and standard deviation

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Multiple Choice

Q 38Q 38

A box plot shows ________.
A)the mean and variance
B)the relative symmetry of a distribution for a set of data
C)the 10th and 90th percentiles of a distribution
D)the deciles of a distribution

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Multiple Choice

Q 39Q 39

What does the interquartile range describe?
A)The range of the lower 50% of the observations
B)The range of the middle 50% of the observations
C)The range of the upper 50% of the observations
D)The ranges of the lower 25% and the upper 25% of the observations

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Multiple Choice

Q 40Q 40

The interquartile range is graphically presented in a ________.
A)dot plot
B)stem-and-leaf display
C)box plot
D)contingency table

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Q 41Q 41

Outliers are clearly presented in a ________.
A)dot plot
B)stem-and-leaf display
C)box plot
D)contingency table

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Multiple Choice

Q 42Q 42

Using the following statistics to describe a distribution of data,what is the interquartile range? Minimum = 10
Q1 = 25
Median = 50
Q3 = 75
Maximum = 95
A)85
B)50
C)15
D)20

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Multiple Choice

Q 43Q 43

If the coefficient of skewness is equal to zero,the shape of the distribution is ________.
A)negatively skewed
B)symmetric
C)positively skewed
D)unknown

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Multiple Choice

Q 44Q 44

The range of the coefficient of skewness is ________.
A)values greater than or equal to zero or always positive
B)values less than or equal to zero or always negative
C)both positive and negative values
D)values between −1 and +1

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Multiple Choice

Q 45Q 45

The following graph is ________.
A)positively skewed
B)negatively skewed
C)symmetric
D)uniformly distributed

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Multiple Choice

Q 46Q 46

A large oil company is studying the number of gallons of gasoline purchased per customer at self-service pumps. The mean number of gallons is 10.0,with a standard deviation of 3.0 gallons. The median is 10.75 gallons. What is Pearson's coefficient of skewness in this instance?
A)−1.00
B)−0.75
C)+0.75
D)+1.00

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Multiple Choice

Q 47Q 47

What is the value of the Pearson coefficient of skewness for a distribution with a mean of 17,a median of 12,and a standard deviation of 6?
A)+2.5
B)−2.5
C)+0.83
D)−0.83

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Q 48Q 48

What is the possible range of values for Pearson's coefficient of skewness?
A)−1 and +1
B)−3 and +3
C)0% and 100%
D)Unlimited values

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Q 49Q 49

A sample of experienced typists revealed that their mean typing speed is 87 words per minute and the median typing speed is 73 words per minute. The standard deviation of typing speed is 16.9 words per minute. What is the Pearson coefficient of skewness?
A)−2.5
B)−4.2
C)+4.2
D)+2.5

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Multiple Choice

Q 50Q 50

The following graph is a ________.
A)dot plot
B)stem-and-leaf display
C)box plot
D)scatter diagram

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Multiple Choice

Q 51Q 51

The following graph illustrates ________.
A)a positive or direct relationship
B)a negative or inverse relationship
C)no relationship
D)a distribution for a single variable

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Multiple Choice

Q 52Q 52

In a scatter diagram,we describe the relationship between ________.
A)two variables measured at the ordinal level
B)two variables,one measured as an ordinal variable and the other as a ratio variable
C)two variables measured at the interval or ratio level
D)a variable measure on the interval or ratio level and time

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Multiple Choice

Q 53Q 53

In a contingency table,we describe the relationship between ________.
A)two variables measured at the ordinal or nominal level
B)two variables,one measured as an ordinal variable and the other as a ratio variable
C)two variables measured at the interval or ratio level
D)a variable measure on the interval or ratio level and time

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Multiple Choice

Q 54Q 54

A contingency table would be used to summarize data such as ________.
A)company employees by gender and organizational title
B)company employees by gender and age
C)company employees by compensation and age
D)company employees by compensation and years with the company

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Multiple Choice

Q 55Q 55

A stem-and-leaf display includes the following row: 3 | 0 1 3 5 7 9. Assume that the data are rounded to the nearest whole number. Which of the following statements is true?
A)The frequency of the class is 7.
B)The minimum value in the class is 0.
C)The maximum value in the class is 39.
D)The class interval is 5.

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Multiple Choice

Q 56Q 56

The following table is a ________.
A)dot plot
B)stem-and-leaf display
C)box plot
D)contingency table

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Multiple Choice

Q 57Q 57

A stem-and-leaf display includes the following row: 5 | 10 11 31 52 79 98. Assume that the data are rounded to the nearest whole number.
A)The frequency of the class is 7.
B)The minimum value in the class is 5.
C)The maximum value in the class is 98.
D)The class interval is 100.

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Multiple Choice

Q 58Q 58

In the following table,
A)the median is 2.5.
B)the minimum value is 135.
C)the maximum value is 456.
D)the range is 33.

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Multiple Choice

Q 59Q 59

In the following table,
A)there are 16 observations.
B)there are 4 observations in the second class.
C)there are 10 observations less than 30.
D)there are 10 observations greater than 30.

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Multiple Choice

Q 60Q 60

The median of a sample will always equal the ________.
A)mode
B)mean
C)50th percentile
D)All of these answers are correct.

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Q 61Q 61

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

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Q 62Q 62

The 67th percentile is ________.
A)the value above which 67% of the observations occur
B)a value one less than 67% of the observations
C)the value below which 67% of the observations occur
D)the value of the observation at the 67th location

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Multiple Choice

Q 63Q 63

The eighth decile ________.
A)contains at least 70% of the observations
B)is the same as the 40th percentile
C)is the same as the 70th percentile
D)is the same as the 80th percentile

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Multiple Choice

Q 64Q 64

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

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Multiple Choice