Deck 3: Understanding Variability: Vive La Différence

Question 1

All of the following are measures of variability EXCEPT ______.

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

Answer 1

mean

Question 2

What is the range for the following set of scores: 29,48,22,37,55?

A)26
B)33
C)37
D)55

Answer 2

33

Question 3

What is the inclusive range for the following set of scores: 34,14,17,57,22?

A)14
B)17
C)57
D)44

Answer 3

44

Question 4

In order to calculate the variance,which of the following must you know?

A)range
B)median
C) standard deviation
D)mode

Question 5

What is the most common measure of variability?

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

Question 6

In order to calculate the standard deviation,what must you first compute?

A)mean
B)range
C)median
D)mode

Question 7

In the formula for computing the range,what does the letter l represent?

A)range
B)variability
C)highest score
D)lowest score

Question 8

What is the range for the following set of scores: 117,249,326,47,442?

A)117
B)395
C)326
D)442

Question 9

When reporting descriptive data such as the mean,what additional information should also be reported that expresses how different the scores are in the distribution?

A)variability
B)outlier
C)skew
D)percentile

Question 10

What are the three tools used to assess variability?

A)range,standard deviation,and variance
B)mean,median,and mode
C)variance,range,and mean
D)mean,standard deviation,and skewness

Question 11

If you subtract the smallest number in the distribution from the largest,what type of variability is being calculated?

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

Question 12

In the formula for computing the range,what does the letter h represent?

A)summation
B)sample size
C)highest score
D)lowest score

Question 13

In the formula for computing the range,______ is used to represent the range.

A)rho
B)Ran
C)r
D)rhi

Question 14

Which measure of variability is easiest to calculate?

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

Question 15

Which measure of variability is most general and,hence,least useful?

A)median
B)range
C)standard deviation
D)mean deviation

Question 16

Which of the following measures how different scores are from one particular score?

A)average
B)correlation
C)variability
D)standard deviation

Question 17

Which measure of variability should never be used alone to reach conclusions regarding the variance of a distribution?

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

Question 18

If you have a lowest score of 21 and a range of 47,your highest score will be ______.

A)26
B)21
C)47
D)68

Question 19

Which of the following measures how scores differ from each other?

A)skewness
B)kurtosis
C)average
D)variability

Question 20

What is another term for variability?

A)flux or variation
B)scattergram
C)skewness
D)spread or dispersion

Question 21

When calculating the standard deviation,what must be done in order to obtain an unbiased estimate?

A)subtract 1 from X
B)add 1 to X
C)subtract 1 from n
D)add 1 to n

Question 22

Which of the following is one way to represent the variance?

A)s
B)s²
C)s(2)
D)s / n

Question 23

Variability is a measure of how much individual scores differ from the ______.

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

Question 24

Which of the following sets of scores has the least variability?

A)5,4,5,6,5
B)7,2,8,9,4
C)12,14,17,19,21
D)1,2,1,7,9

Question 25

What is the formula for calculating the inclusive range?

A)r - n + 1
B)h - l + 1
C)(h - l)r
D)h - 1

Question 26

In the formula for calculating the standard deviation,what does the Greek letter Σ represent?

A)summation
B)sample size
C)mean score for group
D)individual scores

Question 27

The highest score minus the lowest score is equal to the ______.

A)standard deviation
B)inclusive range
C)exclusive range
D)variance

Question 28

Which of the following is one way to represent the standard deviation?

A)s
B)s²
C)s(2)
D)s / n

Question 29

What is the formula for calculating the exclusive range?

A)r - n + 1
B)h - l + 1
C)(h - 1)r
D)h - 1

Question 30

Which of the following sets of scores has the greatest variability?

A)7,10,11,15,19
B)7,7,8,8,10,11
C)7,7,7,7,7,7
D)6,6,7,7,7,7

Question 31

In the formula for calculating the standard deviation,what does the letter n represent?

A)summation
B)sample size
C)mean score for group
D)individual score

Question 32

The highest score minus the lowest score plus one is equal to the ______.

A)exclusive range
B)variance
C)inclusive range
D)standard deviation

Question 33

What is obtained by squaring the standard deviation?

A)mean deviation
B)range
C)variance
D)squared deviation

Question 34

The sum of the deviations from the mean will always be equal to ______.

A)0
B)0.
C)n - 1
D)n + 1

Question 35

What is the standard deviation for the following set of scores: 10,15,12,18,19,16,12?

A)3.36
B)11.29
C)6.47
D)17.78

Question 36

What is obtained by taking the square root of the variance?

A)standard deviation
B)mean
C)mode
D)mean deviation

Question 37

Unbiased estimates ______.

A)subtract 1 from the sample size
B)add 1 to the sample size
C)do not change the sample size
D)multiply the sample size by 1

Question 38

The sum of the absolute value of the deviations from the mean divided by the number of scores is equal to the ______.

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

Question 39

Unbiased estimates ______.

A)are less conservative estimates of sample statistics
B)are more conservative estimates of sample statistics
C)are less conservative estimates of population parameters
D)are more conservative estimates of population parameters

Question 40

What is the exclusive range for the following set of scores: 10,15,12,18,19,16,12?

A)7
B)8
C)9
D)10

Question 41

If Σ(X - M)² = 235,and n = 29,what is s²?

A)8.10
B)8.39
C)2.90
D)43.64

Question 42

As your sample size grows larger,your standard deviation will be ______.

A)a more accurate estimate of the population
B)a less accurate estimate of the population
C)the accuracy will not change
D)this cannot be determined

Question 43

If n = 24 and s = 1.56,what is the variance?

A)2.43
B)1.25
C)0.06
D)0.0065

Question 44

If Σ(X - M)² = 235,and n = 29,what is s?

A)11.3
B)23.5
C)8.39
D)2.90

Question 45

The variance of a group of scores is 4.What is the standard deviation?

A)3.5
B)18
C)2
D)16

Question 46

What is the mean for the following set of scores: 20,24,26,22,18,16,18?

A)18
B)24
C)20.57
D)14.57

Question 47

Which of the following must also be known in order to compute the standard deviation?

A)mode
B)mean
C)range
D)median

Question 48

When using sample estimates to estimate population parameters,you should use ______.

A)biased statistics
B)unbiased statistics
C)either biased or unbiased statistics
D)none of these

Question 49

As your sample size grows larger,the n - 1 adjustment for the standard deviation has a ______.

A)greater impact on your calculation
B)smaller impact on your calculation
C)the impact does not vary
D)this cannot be determined

Question 50

What is the standard deviation for the following set of scores: 20,24,26,22,18,16,18?

A)12.95
B)3.60
C)6.55
D)24

Question 51

If you have a variance of 9,your standard deviation will be ______.

A)9
B)81
C)3
D)0

Question 52

Biased estimates are appropriate ______.

A)to describe a sample
B)to describe a population
C)to describe a sample or a population
D)none of these

Question 53

The absolute value of a number is represented by which of the following?

A)±5
B)+5
C)|5|
D)/5/

Question 54

If you have a standard deviation of 5,your variance will be ______.

A)4
B)25
C)5
D)625

Question 55

What is the variance for the following set of scores: 20,24,26,22,18,16,18?

A)12.95
B)3.60
C)6.55
D)24

Question 56

What is the variance for the following set of scores: 10,15,12,18,19,16,12?

A)3.36
B)11.29
C)6.47
D)17.18

Question 57

If Σ(X - M)² = 235,and n = 29,what is s?

A)8.10
B)8.39
C)2.90
D)43.64

Question 58

What is the standard deviation squared?

A)range
B)mean deviation
C)variance
D)This cannot be computed.

Question 59

Unbiased estimates are best used ______.

A)to make sample estimates
B)to make population estimates
C)to make sample or population estimates
D)none of these

Question 60

Which of the following sets of data has no variability?

A)1,2,5,4,7
B)7,7,7,2,9
C)5,5,5,5,5
D)0,0,0,0,10

Question 61

The variance is more difficult to interpret than the standard deviation.

Question 62

A greater standard deviation indicates less variance.

Question 63

The standard deviation is sensitive to extreme scores.

Question 64

It is impossible for a set of data to have no variability.

Question 65

Variance is an easy number to interpret.

Question 66

Can the measures of central tendency and the measures of variability be used together to describe a set of scores? If so,how?

Question 67

The exclusive range is more commonly used in research articles when compared to the inclusive range.

Question 68

When computing standard deviation,why are the deviations from the mean squared?

Question 69

The larger the standard deviation,the less spread out the values are.

Question 70

What is the difference between the inclusive and exclusive range?

Question 71

How does a biased standard deviation differ from an unbiased standard deviation?

Question 72

Why is the square root taken when computing s?

Question 73

If you know the standard deviation,what is the quick way to compute the variance?

Question 74

Unbiased estimates are considered to be less conservative estimates.

Question 75

What are the strengths and limitations of the range?

Question 76

How are the standard deviation and the variance similar? How are they different?

Question 77

What are the three measures of variability? Which is the most commonly reported?

Question 78

Both the standard deviation and the variance are measures of variability,also called dispersion or spread.

Question 79

Define variability.

Question 80

A standard deviation equal to 0 indicates no variance in your data.