Deck 5: Other Descriptive Statistics

Question 1

z scores are used to indicate the central tendency of a distribution.

Answer 1

False

Question 2

The denominator of the z score formula is. $X - \bar { X }$

Answer 2

False

Question 3

You can determine the 25th and 75th percentile from a boxplot.

Answer 3

True

Question 4

To determine how much difference there is between two distributions, calculate a z score.

Question 5

You can determine the mode of a distribution from a boxplot.

Question 6

To determine values of outliers, you must know the 25th percentile.

Question 7

The formula for the effect size index, d, has the sample mean in the denominator.

Question 8

A d value of 0.90 is considered large.

Question 9

The greater the overlap of two distributions, the greater the size of d.

Question 10

The Descriptive Statistics Report endorsed by your textbook is a one-page summary that features the 3-way graphic.

Question 11

z scores are used to describe individual scores.

Question 12

The denominator of the z score formula is the statistic, S.

Question 13

You can determine the standard deviation of a distribution from a boxplot.

Question 14

To determine how much difference there is between two distributions, calculate d.

Question 15

You can determine the interquartile range of a distribution from a boxplot.

Question 16

To determine values of outliers, you must know the 50th percentile.

Question 17

The formula for the effect size index, d, has a standard deviation in the denominator.

Question 18

A d value of 0.15 is considered small.

Question 19

Two distributions that don't overlap at all have a d value of zero.

Question 20

The Descriptive Statistics Report endorsed by your textbook consists of four paragraphs with a recommended graph form for each paragraph.

Question 21

A z score is a descriptive measure of the variability of a distribution, much like a standard deviation.

Question 22

The numerator of the z score formula is. $X - \bar { X }$

Question 23

You can determine the skew of a distribution from a boxplot.

Question 24

To determine how much difference there is between two distributions, begin by identifying all outliers.

Question 25

You can determine the range of a distribution from a boxplot.

Question 26

To determine values of outliers, you must know the 75th percentile.

Question 27

The formula for the effect size index, d, has a standard deviation in the numerator.

Question 28

A d value of 0.50 is considered a medium size d.

Question 29

The greater the overlap of two distributions, the smaller the size of d.

Question 30

The Descriptive Statistics Report endorsed by your textbook follows the format: Background, Implementation, Results, and Conclusions.

Question 31

Data Set 5-1: 2, 7, 3, 6, 2

-For Data Set 5-1, a raw score of 3 has a deviation score of

A) 1
B) -1
C) 0.6
D) 2.

Question 32

Data Set 5-1: 2, 7, 3, 6, 2

-For Data Set 5-1, a raw score of 6 has a deviation score of

A) 1
B) -2.4
C) 2
D) -2.

Question 33

Data Set 5-1: 2, 7, 3, 6, 2

-For Data Set 5-1, a raw score of 7 has a z score of

A) 1.43
B) -7
C) -3
D) -1.43.

Question 34

Data Set 5-1: 2, 7, 3, 6, 2

-For Data Set 5-1, a raw score of 2 has a z score of

A) -1.76
B) -0.85
C) -0.76
D) -0.95.

Question 35

Data Set 5-2: 5, 3, 9, 7, 6

-A raw score of 7 in Data Set 5-2 has a deviation score of

A) 1
B) 7
C) 0
D) 2.

Question 36

Data Set 5-2: 5, 3, 9, 7, 6

-A raw score of 6 in Data Set 5-2 has a deviation score of

A) 0
B) 1.4
C) 1
D) -1.5.

Question 37

Data Set 5-2: 5, 3, 9, 7, 6

-A raw score of 9 in Data Set 5-2 has a z score of

A) 2.1
B) 1.5
C) 0.75
D) -1.5.

Question 38

Data Set 5-2: 5, 3, 9, 7, 6

-A raw score of 5 in Data Set 5-2 has a z score of

A) -0.05
B) -0.5
C) 0.45
D) -0.45.

Question 39

Data Set 5-3: -2, -1, 0, 2, 6

-A raw score of 6 in Data Set 5-3 has a deviation score of

A) 4.4
B) 4.75
C) -5
D) 5.

Question 40

Data Set 5-3: -2, -1, 0, 2, 6

-A raw score of -1 in Data Set 5-3 has a deviation score of

A) -2
B) 0
C) 0.6
D) 2.

Question 41

Data Set 5-3: -2, -1, 0, 2, 6

-A raw score of -2 in Data Set 5-3 has a z score of

A) 1.35
B) -1.06
C) -1.39
D) -1.61.

Question 42

Data Set 5-3: -2, -1, 0, 2, 6

-A raw score of 0 in Data Set 5-3 has a z score of

A) 1
B) -0.35
C) 0
D) -0.25.

Question 43

Data Set 5-4: 2, 4, 6, 8

-For Data Set 5-4, a raw score of 4 has a deviation score of

A) -2.67
B) 1
C) 0.5
D) -1.

Question 44

Data Set 5-4: 2, 4, 6, 8

-For Data Set 5-4, a raw score of 7 has a deviation score of

A) 2
B) 1.5
C) 3
D) -3.

Question 45

Data Set 5-4: 2, 4, 6, 8

-For Data Set 5-4, a raw score of 6 has a z score of

A) 0.2
B) -0.39
C) 0.39
D) 0.45.

Question 46

Data Set 5-4: 2, 4, 6, 8

-For Data Set 5-4, a raw score of 2 has a z score of

A) 1.34
B) -0.67
C) -1.34
D) -1.16.

Question 47

Data Set 5-5: -1, 3, 0, 2, 1

-For Data Set 5-5, a raw score of -1 has a deviation score of

A) -1.25
B) 0
C) -2
D) -1.4.

Question 48

Data Set 5-5: -1, 3, 0, 2, 1

-For Data Set 5-5, a raw score of 1 has a deviation score of

A) 0
B) -2
C) -0.2
D) 0.25.

Question 49

Data Set 5-5: -1, 3, 0, 2, 1

-For Data Set 5-5, a raw score of 2 has a z score of

A) 0.57
B) 1.58
C) 0.707
D) 0.403.

Question 50

Data Set 5-5: -1, 3, 0, 2, 1

-For Data Set 5-5, a raw score of 3 has a z score of

A) 1.27
B) 3.16
C) 1.41
D) -1.27.

Question 51

Data Set 5-6: 1, 0, 5, 6

-A raw score of 6 in Data Set 5-6 has a deviation score of

A) 1
B) 3
C) 1.23
D) -1.

Question 52

Data Set 5-6: 1, 0, 5, 6

-A raw score of 1 in Data Set 5-6 has a deviation score of

A) 4
B) -2
C) 2
D) -2.5.

Question 53

Data Set 5-6: 1, 0, 5, 6

-A raw score of 0 in Data Set 5-6 has a z score of

A) -2.35
B) -1.02
C) 0
D) -1.18.

Question 54

Data Set 5-6: 1, 0, 5, 6

-A raw score of 5 in Data Set 5-6 has a z score of

A) 0.68
B) 0.78
C) 3
D) 0.39.

Question 55

Data Set 5-7: 2, -2, 4, 6

-A raw score of 4 in Data Set 5-7 has a deviation score of

A) 0.5
B) 1.50
C) 2.56
D) 0.

Question 56

Data Set 5-7: 2, -2, 4, 6

-A raw score of 0 in Data Set 5-7 has a deviation score of

A) -3.5
B) 0
C) -2.5
D) -0.85.

Question 57

Data Set 5-7: 2, -2, 4, 6

-A raw score of -2 in Data Set 5-7 has a z score of

A) 1.52
B) -1.32
C) -1.52
D) 1.69.

Question 58

Data Set 5-7: 2, -2, 4, 6

-A raw score of 6 in Data Set 5-7 has a z score of

A) -1.11
B) -1.01
C) 1.18
D) -2.37.

Question 59

A z score conveys the

A) central tendency of a distribution
B) variability of a distribution
C) relative position of an individual
D) all of the other alternatives are correct.

Question 60

A z score close to zero indicates a

A) raw score near the bottom of the distribution
B) raw score close to the mean
C) distribution with little variability
D) distribution that is quite variable.

Question 61

Another name for a z score is

A) variance
B) deviation score
C) standard score
D) box score.

Question 62

Another name for a standard score is

A) z
B) $\bar { X }$
C) $\tilde { S }$
D) the variance.

Question 63

A z score is

A) the standard deviation divided by the mean
B) the standard deviation divided by the score itself
C) the deviation score divided by the standard deviation
D) the mean divided by the standard deviation.

Question 64

For the distribution 1, 2, 3, 4, 5, a raw score of 2 has a z score of

A) -1.00
B) -0.63
C) -0.71
D) none of the other alternatives are correct.

Question 65

A z score of 2.5 indicates a raw score

A) close to the mean
B) that is much smaller than the mean
C) that is much larger than the mean
D) that is 2.5 times larger than the mean.

Question 66

The advantage of using z scores over using raw scores is that z scores allow you to

A) compare a score in one distribution to a score in another
B) understand the relationship of a score to the mean
C) both of the descriptive alternatives
D) neither of the descriptive alternatives.

Question 67

Suppose Distribution A had a mean of 50 and a standard deviation of 10 while Distribution B had a mean of 50 and a standard deviation of 15. A score of 55 would be relatively

A) more extreme in A
B) more extreme in B
C) the same distance from the mean in both distributions.

Question 68

Suppose Debbie's sociology teacher calculated z scores for each student on each exam. For the last three exams, Debbie's z scores were 1.00, 1.50, and 2.00. From this information you can conclude that the exam with the largest standard deviation was exam number

A) one
B) two
C) three
D) not determinable from the information given.

Question 69

In Spanish 1100, Karen distributed her study time evenly over the term (as suggested for those who want the most learning per unit of time invested). On the four 50 point tests, Karen made 38 each time. Given the class parameters below, which test represents Karen's worst performance?

A) Test 1: µ = 34, $\sigma$ = 2
B) Test2: µ=39, $\sigma$ = 1
C) Test 3: µ = 40, $\sigma$ = 3
D) Test 4: µ = 44, $\sigma$ = 4.

Question 70

Four brothers took an anthropology course from the same instructor during four different years. The total points of each, along with the class parameters are given below. Use z scores to determine who did the best.

A) Darren 314, $\mu$ = 200, $\sigma$ = 100
B) Nathan 517, $\mu$ = 300, $\sigma$ = 200
C) Joshua 214 $\mu$ = 150, $\sigma$ = 50
D) Nicholas 114, $\mu$ = 100, $\sigma$ = 10.

Question 71

George D. took four exams in American history. On each he made a score of 89. The $\mu$ 's and $\sigma$ 's for these four tests are given below. On which test did George's 89 represent his best performance?

A) $\mu$ =95, $\sigma$ =6
B) $\mu$ =95, $\sigma$ = 12
C) $\mu$ =92, $\sigma$ =2
D) $\mu$ =91, $\sigma$ = 1.

Question 72

Four sections of General Biology were taught by four lecturers who used different tests over the same material. The four students, one from each section, compared test scores on the material in Part 1 to see who did the best. Use z scores to choose the winner:

A) Jimmy 15, class parameters, $\mu$ = 12, $\sigma$ = 2
B) Jeff 54, class parameters, $\mu$ = 50, $\sigma$ = 5
C) Jon 47, class parameters, $\mu$ = 37, $\sigma$ = 5
D) Aaron 93, class parameters, $\mu$ = 85, $\sigma$ = 10.

Question 73

David took four exams in history. On each he made a score of 113. The $\mu$ 's and $\sigma$ 's for those four tests are given below. On which test did David's 113 represent his best performance?

A) $\mu$ = 113, $\sigma$ = 25
B) $\mu$ =95, $\sigma$ =18
C) $\mu$ = 118, $\sigma$ =2
D) $\mu$ = 103, $\sigma$ = 5.

Question 74

Jennifer played on her college's golf team each year she was in college. At the conference playoff she shot an 80 every year. Given the parameters for the other players, which year represented Jennifer's best performance? (Low scores are better in golf.)

A) year 1: $\mu$ = 85, $\sigma$ = 10
B) year 2: $\mu$ = 86, $\sigma$ = 8
C) year 3: $\mu$ =86, $\sigma$ =6
D) year 4: $\mu$ = 92, $\sigma$ = 8.

Question 75

Four sorority sisters took General Psychology, but they were enrolled in different sections that were taught by different instructors who gave different tests. After the first test, they gathered at the sorority house with their own scores and the class parameters. Which sister did best?

A) Lisa, 14 $\mu$ = 10, $\sigma$ = 3
B) Vickie, 25 $\mu$ = 20, $\sigma$ = 10
C) Merry, 90 $\mu$ = 95, $\sigma$ = 3
D) Stacey, 100 $\mu$ = 70, $\sigma$ = 20

Question 76

For four years in a row at the annual Late 90's Video Game Contest, a different entrant won the contest. The field of contestants was different each year. Each year's winners, amount of time they played, and contest statistics are shown. Who was the overall winner?

A) Year 1: Zach 32 hours $\bar { X }$ = 28 hours S = 2 hours
B) Year 2: Slater, 34 hours $\bar { X }$ = 29 hours S = 2 hours
C) Year 3: Screech, 36 hours $\bar { X }$ = 30 hours S = 6 hours
D) Year 4: Lisa, 28 hours $\bar { X }$ = 24 hours S = 3 hours.

Question 77

The two measures of central tendency that a boxplot shows are the

A) mean and mode
B) median and mode
C) median and mean.

Question 78

The two measures of variability that a boxplot shows are the

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

Question 79

The number of descriptive statistics conveyed by a boxplot is

A) one
B) two
C) three
D) more than three.

Question 80

Outlier scores of a distribution can be conveyed in a boxplot with a symbol

A) in the box
B) below the box
C) beyond the whiskers
D) all of the other alternatives are correct.