Deck 4: Measures of Variability

Question 1

The ______ is the range of the middle 50% of the scores in a set of data.

A) variance
B) standard deviation
C) range
D) interquartile range

Answer 1

interquartile range

Question 2

What is the range for this set of data? 1.64, 1.51, 1.79, 1.38, 1.92, 1.54, 1.75, 1.91

A) .27
B) .54
C) 1.65
D) 1.68

Answer 2

.54

Question 3

What is an advantage of calculating the interquartile range instead of the range?

A) The mean is used in the calculation of the interquartile range.
B) The interquartile range is less affected by outliers than the range.
C) The interquartile range is based on all of the scores in the set of data.
D) The interquartile range removes the highest 25% of the distribution.

Answer 3

The interquartile range is less affected by outliers than the range.

Question 4

Which of the following is a weakness of the range?

A) It lessens the influence of outliers by only taking into consideration 50% of the distribution.
B) It takes into account all the scores of a distribution.
C) It is difficult to compute.
D) It may not accurately reflect the amount of variability in the entire distribution.

Question 5

What is the range for this set of data? 11, 6, 5, 7, 13, 12

A) 1
B) 8
C) 6
D) 9

Question 6

What is the range for this set of data? .28, .31, .54, .72, .61, .48

A) .20
B) .44
C) .63
D) .49

Question 7

The range is defined as ______.

A) the middle 50% of the scores in a set of data
B) the mathematical difference between the lowest and highest scores in a set of data
C) average squared deviation from the mean
D) average squared deviation of a score from the population mean

Question 8

Compared with other measures of variability, what is a strength of the range?

A) It is quick and easy to compute.
B) It can be used in statistics designed to test hypotheses.
C) It is based on all of the scores in the set of data.
D) It is not affected by outliers.

Question 9

Which of the following is NOT true about the interquartile range?

A) It is less affected by outliers than is the range.
B) It consists of using only the middle 50% of the scores in a data set.
C) It removes the highest and lowest 25% of the distribution.
D) It subtracts the highest score from the lowest score.

Question 10

What is the range for this set of data? 5, 7, 10, 12, 6, 8

A) 3
B) 7
C) 11
D) 8

Question 11

The ______ primarily measures the ______ of a distribution of scores for a variable.

A) range; variability
B) standard deviation; symmetry
C) mean; variability
D) variance; modality

Question 12

The interquartile range can be defined as ______.

A) the highest score minus the lowest score in a set of data
B) the range of the middle 50% of the scores in a set of data
C) the range of all of the scores in a set of data
D) the average deviation of a score from the mean

Question 13

To overcome the effects of outliers on the range for a set of data, one could instead calculate the ______.

A) interquartile range
B) standard deviation
C) variance
D) mean

Question 14

What is the range for this set of data? 35, 48, 36, 39, 32, 45, 50, 42

A) 7
B) 17
C) 18
D) 41

Question 15

Compared to the range, the primary purpose of the interquartile range is to represent the variability in a set of data ______.

A) while lessening the influence of outliers
B) while increasing the influence of outliers
C) using deviations from the mean
D) by taking into account all of the scores of a distribution

Question 16

Which of the following is true about the interquartile range?

A) It is the highest score minus the lowest score in a set of data.
B) It is based on all of the scores in the set of data.
C) It is calculated by removing the highest and lowest 25% of scores.
D) It includes all of the scores except the highest 25% of scores.

Question 17

Which of the following is a strength of the range?

A) It accurately reflects the amount of variability in the entire distribution of scores.
B) It provides information about the sample from which the data were collected.
C) It represents the variability in a set of data while lessening the influence of outliers.
D) It can be used in statistical analyses designed to test hypotheses about distributions.

Question 18

What is the interquartile range for this set of data? 5, 4, 7, 2, 9, 1, 11, 8

A) 3
B) 10
C) 6
D) 4

Question 19

What is the range for this set of data? 3.09, 2.62, 2.81, 3.17, 3.62, 3.35

A) .26
B) 1.00
C) 2.99
D) 3.11

Question 20

What is the range of the following set of data? 2, 15, 7, 9, 21, 14, 19, 13

A) 8
B) 12
C) 19
D) 21

Question 21

Calculating the variance (s²) involves ______ deviations because______.

A) squaring; the sum of unsquared deviations is equal to 0
B) multiplying; samples are smaller than populations
C) subtracting; deviations are always positive
D) dividing; distributions are sometimes skewed (asymmetric)

Question 22

What is the sum of squared scores for this set of data? 2, 4, 5, 7

A) 18.00
B) 94.00
C) 324.00
D) 4.50

Question 23

What is the interquartile range for this set of data? 5, 4, 7, 3, 10, 2, 11, 9

A) 4
B) 5
C) 6
D) 9

Question 24

The formula is the ______ formula for the ______ .

A) definitional; variance
B) computational; standard deviation
C) computational; variance
D) definitional; mean

Question 25

What is the sum of squared scores for this set of data? 3, 6, 8, 9

A) 6.50
B) 26.00
C) 190.00
D) 676.00

Question 26

The formula is the ______ formula for the ______.

A) definitional; variance
B) definitional; standard deviation
C) computational; variance
D) definitional; mean

Question 27

What is the variance (s²) for this set of data? 5, 9, 13, 17

A) 11.00
B) 5.16
C) 26.67
D) 20.00

Question 28

What is the interquartile range for this set of data? 50, 78, 64, 39, 97, 88, 43, 47, 73, 41, 56, 84, 67, 72, 92, 59

A) 16
B) 24
C) 28
D) 58

Question 29

What is the variance (s²) for this set of data? 1, 5, 6

A) 4.00
B) 2.65
C) 7.00
D) 4.67

Question 30

The formula is the ______ formula for the ______ .

A) computational; degrees of freedom
B) computational; range
C) definitional; sum of squares
D) definitional; mean

Question 31

What would the variance be for the following data? 10, 19, 15, 20, 21, 11

A) 16.00
B) 21.30
C) 22.40
D) 24.56

Question 32

Variance (s²) may be defined as ______.

A) the most common or frequently occurring score in a distribution
B) the average squared deviation of a score from the mean
C) the mathematical average
D) the score that splits a distribution into two equal halves

Question 33

What is the variance (s²) for this set of data? 2, 5, 7, 10

A) 3.37
B) 6.00
C) 8.50
D) 11.33

Question 34

What is the interquartile range for this set of data? 13, 7, 15, 6, 28, 3, 23, 17

A) 4
B) 10
C) 14
D) 25

Question 35

The formula is the ______ formula for the ______.

A) definitional; sum of squares
B) computational; standard deviation
C) computational; sum of squares
D) definitional; population variance

Question 36

What is the interquartile range for this set of data? 18, 17, 20, 14, 27, 13, 30, 24

A) 6
B) 17
C) 7
D) 19

Question 37

The average squared deviation of a score from the mean is the ______.

A) range
B) interquartile range
C) variance
D) standard deviation

Question 38

What is the variance (s²) for this set of data? 6, 7, 10, 13

A) 9.00
B) 3.16
C) 10.00
D) 7.50

Question 39

What is the sum of squared scores for this set of data? 6, 2, 10, 7

A) 25.00
B) 189.00
C) 625.00
D) 6.25

Question 40

What is the variance (s²) for this set of data? 7, 11, 15

A) 11.00
B) 4.00
C) 16.00
D) 10.67

Question 41

What is the sum of squared scores for this set of data? 3.59, 3.02, 2.87, 3.16, 3.72

A) 3.27
B) 16.36
C) 54.07
D) 267.65

Question 42

What is the sum of squared scores for this set of data? 1.52, 2.04, 2.36, 1.91

A) 7.83
B) 15.69
C) 61.31
D) 1.96

Question 43

What is the standard deviation (s) for this set of data? 4.41, 6.13, 5.72, 6.09, 4.13, 5.24

A) .85
B) 5.29
C) .73
D) .78

Question 44

What is the standard deviation (s) for this set of data? 24, 18, 21, 28

A) 4.27
B) 22.75
C) 18.25
D) 3.70

Question 45

For this set of data, the mean is equal to ______. 104, 116, 95, 121, 87

A) 12.66
B) 14.15
C) 104.60
D) 523

Question 46

For this set of data, is equal to ______. 104, 116, 95, 121, 87

A) 3081027049
B) 523.60
C) 55507
D) 273529

Question 47

What is the standard deviation (s) for this set of data? 3.48, 4.60, 3.93, 4.85, 3.15

A) .72
B) 4.00
C) .52
D) .65

Question 48

What is the sum of squared scores for this set of data? 21, 16, 25, 22

A) 84.00
B) 1806.00
C) 7056.00
D) 21.00

Question 49

Which of these distributions will have the smallest standard deviation?

A) flat
B) peaked
C) skewed
D) bimodal

Question 50

For this set of data, the standard deviation (s) is equal to ______. 104, 116, 95, 121, 87

A) 12.66
B) 14.15
C) 104.60
D) 523

Question 51

What is the standard deviation (s) for this set of data? 11, 16, 21

A) 4.08
B) 5.00
C) 16.00
D) 25.00

Question 52

For this set of data, is equal to ______. 104, 116, 95, 121, 87

A) 3081027049
B) 523
C) 55507
D) 273529

Question 53

What is the standard deviation (s) for this set of data? 6, 13, 11, 9, 16

A) 3.81
B) 11.00
C) 14.50
D) 3.41

Question 54

What would the standard deviation be for the following data? 25, 27, 29, 20, 21

A) 3.15
B) 3.85
C) 15
D) 16.80

Question 55

What is the standard deviation (s) for this set of data? 2, 6, 10

A) 4.00
B) 6.00
C) 16.00
D) 3.27

Question 56

What is the standard deviation (s) for this set of data? 4, 2, 7, 5, 4, 1

A) 4.57
B) 3.83
C) 3.14
D) 2.14

Question 57

What is the standard deviation (s) for this set of data? 11, 7, 8, 12

A) 2.06
B) 2.38
C) 5.67
D) 9.50

Question 58

What is the sum of squared scores for this set of data? 14, 11, 7, 16

A) 48.00
B) 12.00
C) 304.00
D) 622.00

Question 59

What is the standard deviation (s) for this set of data? 3, 4, 6, 7

A) 1.83
B) 5.00
C) 3.33
D) 1.58

Question 60

What is the sum of squared scores for this set of data? 6.72, 7.13, 8.91, 5.52, 7.23, 8.45

A) 43.96
B) 329.53
C) 1932.48
D) 7.33

Question 61

For this set of data, is equal to ______. 17, 87, 101, 280, 680

A) 71853.50
B) 1165
C) 1357225
D) 558859

Question 62

For this set of data, is equal to ______. 9, 8, 10, 5, 5, 2, 3, 9, 6, 3

A) 5.67
B) 51
C) 353
D) 2601

Question 63

What is the population standard deviation (σ) for this set of data? 2, 4, 1, 5, 3

A) 1.41
B) 1.58
C) 2.00
D) 3.00

Question 64

For this set of data, the mean is equal to ______. 85, 101, 280, 580, 880

A) 304.88
B) 340.86
C) 385.20
D) 1926.00

Question 65

For this set of data, is equal to ______. 85, 101, 280, 580, 880

A) 3709476.00
B) 385.20
C) 1926.00
D) 1206626.00

Question 66

For this set of data, the mean is equal to ______. 17, 87, 101, 280, 680

A) 233.00
B) 268.06
C) 1165
D) 71853.50

Question 67

What is the population standard deviation (σ) for this set of data? .51, .23, .38, .64, .15, .45

A) .18
B) .39
C) .03
D) .17

Question 68

What is the population standard deviation (σ) for this set of data? 7, 9, 5, 12

A) 2.99
B) 8.25
C) 6.69
D) 2.59

Question 69

For this set of data, the standard deviation (s) is equal to ______. 85, 101, 280, 580, 880

A) 304.88
B) 340.86
C) 385.20
D) 1926.00

Question 70

For this set of data, the standard deviation (s) is equal to ______. 17, 87, 101, 280, 680

A) 233.00
B) 268.06
C) 1165
D) 71853.50

Question 71

What is the population standard deviation (σ) for this set of data? 42, 50, 45, 37

A) 5.45
B) 43.50
C) 22.25
D) 4.72

Question 72

What is the population standard deviation (σ) for this set of data? 11.64, 12.70, 15.33, 9.85, 10.47

A) 2.16
B) 12.00
C) 3.73
D) 1.93

Question 73

For this set of data, is equal to ______. 9, 8, 10, 5, 5, 2, 3, 9, 6, 3

A) 51
B) 353
C) 2601
D) 26010

Question 74

What is the population standard deviation (σ) for this set of data? 3.61, 2.43, 3.14, 3.95

A) .32
B) .57
C) .66
D) 3.28

Question 75

For this set of data, is equal to ______. 17, 87, 101, 280, 680

A) 71853.50
B) 1165
C) 1357225
D) 558859

Question 76

What is the population standard deviation (σ) for this set of data? 72, 61, 80, 76, 54

A) 10.81
B) 68.60
C) 93.44
D) 9.67

Question 77

For this set of data, the mean is equal to ______. 9, 8, 10, 5, 5, 2, 3, 9, 6, 3

A) 5.67
B) 51
C) 353
D) 2601

Question 78

For this set of data, is equal to ______. 85, 101, 280, 580, 880

A) 3709476.00
B) 385.20
C) 1926.00
D) 1206626.00

Question 79

For this set of data, the standard deviation (s) is equal to ______. 9, 8, 10, 5, 5, 2, 3, 6, 3

A) 2.83
B) 5.67
C) 8.00
D) 51

Question 80

What is the population standard deviation (σ) for this set of data? 3.76, 4.12, 3.29, 2.84, 4.93, 2.15

A) .98
B) 3.52
C) .80
D) .89