Question 1

As a distribution of scores becomes more variable, the value of the standard deviation________.

Accepted Answer

A)  decreases. 
B)  stays the same. 
C)  increases. 
D)  becomes unpredictable. 
A)  decreases. 
B)  stays the same. 
C)  increases. 
D)  becomes unpredictable. C

Question 2

If the standard deviation of a group of scores is 0,________.

Accepted Answer

A)  the range would be at a maximum value. 
B)  there is maximum variation in the scores. 
C)  there is no variation in the scores. 
D)  the mean is larger than the median. 
A)  the range would be at a maximum value. 
B)  there is maximum variation in the scores. 
C)  there is no variation in the scores. 
D)  the mean is larger than the median. C

Question 3

The information below compares the final exam grades for 2 biology classes:   What may we conclude? Class 1 _______.

Accepted Answer

A)  is more homogeneous. 
B)  is more heterogeneous. 
C)  was a better class. 
D)  had no grade higher than a 90. 
A)  is more homogeneous. 
B)  is more heterogeneous. 
C)  was a better class. 
D)  had no grade higher than a 90. B

Question 4

The scores below are from the same final exam given in a math class in two different years. Compute the mean and median (if necessary) and the range and standard deviation of these scores. Using these statistics, describe the differences in the two sets of scores.

Accepted Answer

The answer of The scores below are from the same...

Question 5

The standard deviation(s)________.

Accepted Answer

A)  squares the deviations to eliminate negative values. 
B)  decreases in value as distributions become more heterogeneous. 
C)  does not use all the scores. 
D)  is based on the median rather than the mean. 
A)  squares the deviations to eliminate negative values. 
B)  decreases in value as distributions become more heterogeneous. 
C)  does not use all the scores. 
D)  is based on the median rather than the mean.

Question 6

A boxplot uses all but which of the following to present dispersion?

Accepted Answer

A)  median 
B)  third quartile (Q 3 ) 
C)  standard deviation 
D)  first quartile (Q 1 ) 
A)  median 
B)  third quartile (Q 3 ) 
C)  standard deviation 
D)  first quartile (Q 1 )

Question 7

If a distribution of scores has a mean of 30 and a range of 0________.

Accepted Answer

A)  the variance is 30. 
B)  the quartile deviation (Q) is 10. 
C)  there is no variation in the distribution. 
D)  the standard deviation is 1. 
A)  the variance is 30. 
B)  the quartile deviation (Q) is 10. 
C)  there is no variation in the distribution. 
D)  the standard deviation is 1.

Question 8

If distribution A and distribution B have the same mean but A has a larger standard deviation, we may conclude that________.

Accepted Answer

A)  the medians of both distributions would be the same. 
B)  distribution B has a range of 0. 
C)  A has a greater degree of variation. 
D)  distribution B displays more variety. 
A)  the medians of both distributions would be the same. 
B)  distribution B has a range of 0. 
C)  A has a greater degree of variation. 
D)  distribution B displays more variety.

Question 9

The expression   instructs us to _______.

Accepted Answer

A)  sum the scores. 
B)  sum the scores and then subtract the mean. 
C)  subtract every "ith" score from the mean. 
D)  subtract the mean from each score and add up the deviations. 
A)  sum the scores. 
B)  sum the scores and then subtract the mean. 
C)  subtract every "ith" score from the mean. 
D)  subtract the mean from each score and add up the deviations.

Question 10

Your score on the test is the same as the third quartile (Q3). You may conclude that________.

Accepted Answer

A)  you scored higher than 75% of the people who took the test. 
B)  the distribution of the scores is skewed. 
C)  your score is 'typical' since it is the same value as the median. 
D)  you scored higher than 25% of the people who took the test. 
A)  you scored higher than 75% of the people who took the test. 
B)  the distribution of the scores is skewed. 
C)  your score is 'typical' since it is the same value as the median. 
D)  you scored higher than 25% of the people who took the test.

Question 11

The second quartile (Q2) is equal in value to________.

Accepted Answer

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

Question 12

The greater the skew of a distribution of scores, ________.

Accepted Answer

A)  the lower the value of the standard deviation. 
B)  the higher the value of the standard deviation. 
C)  the lower the value of the range. 
D)  None of the answer choices: measures of variation are not affected by skew. 
A)  the lower the value of the standard deviation. 
B)  the higher the value of the standard deviation. 
C)  the lower the value of the range. 
D)  None of the answer choices: measures of variation are not affected by skew.

Question 13

The range (R) is found by subtracting the lowest from the highest score in the distribution. Therefore, R could NOT be found for________.

Accepted Answer

A)  nominal level variables. 
B)  discrete variables. 
C)  ordinal level variables. 
D)  continuous variables. 
A)  nominal level variables. 
B)  discrete variables. 
C)  ordinal level variables. 
D)  continuous variables.

Question 14

Some information about auto theft rates (number of auto thefts per 100,000 population) for a sample of 178 cities in two different years is summarized below. 
   Express this statistical information in words. What changes were there in the overall shape of the variation of this variable? In central tendency? In dispersion?

Accepted Answer

The answer of Some information about auto theft rates (number...

Question 15

A graph used to visualize and analyze variation is a________.

Accepted Answer

A)  pie chart. 
B)  boxplot. 
C)  histogram. 
D)  line chart. 
A)  pie chart. 
B)  boxplot. 
C)  histogram. 
D)  line chart.

Question 16

Which of the following data sets shows the greatest variability?

Accepted Answer

A)  9, 10, 11 
B)  0, 5, 9 
C)  50, 60, 170 
D)  31, 33, 35 
A)  9, 10, 11 
B)  0, 5, 9 
C)  50, 60, 170 
D)  31, 33, 35

Question 17

In a boxplot, an outlier is defined as a score that is________.

Accepted Answer

A)  greater than 1.5 times the height of the box. 
B)  less than 1.5 times the height of the box. 
C)  greater than 1.25 times the height of the box. 
D)  greater than 0.75 times the height of the box. 
A)  greater than 1.5 times the height of the box. 
B)  less than 1.5 times the height of the box. 
C)  greater than 1.25 times the height of the box. 
D)  greater than 0.75 times the height of the box.

Question 18

If a variable is interval-ratio in level of measurement, the preferred measure of variation would be________.

Accepted Answer

A)  the mean. 
B)  the range. 
C)  the standard deviation. 
D)  the percentile. 
A)  the mean. 
B)  the range. 
C)  the standard deviation. 
D)  the percentile.

Question 19

Four students have applied to a special program and only one can be accepted. They have taken a battery of 12 tests and all have exactly the same average score. The standard deviation of their test scores are: Student A = 3.12, Student B = 0.27, Student C = 13.45, Student D = 6.45. If consistency of performance is a criterion for acceptance, which of the four students should be selected?

Accepted Answer

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

Question 20

If the variance of a distribution is 16, the mean is 12, and the number of cases is 24, the standard deviation is________.

Accepted Answer

A)  4. 
B)  6. 
C)  8. 
D)  12. 
A)  4. 
B)  6. 
C)  8. 
D)  12.

As a distribution of scores becomes more variable, the value of the standard deviation________.

If the standard deviation of a group of scores is 0,________.

The information below compares the final exam grades for 2 biology classes: What may we conclude? Class 1 _______.

The scores below are from the same final exam given in a math class in two different years. Compute the mean and median (if necessary) and the range and standard deviation of these scores. Using these statistics, describe the differences in the two sets of scores.

The standard deviation(s)________.

A boxplot uses all but which of the following to present dispersion?

If a distribution of scores has a mean of 30 and a range of 0________.

If distribution A and distribution B have the same mean but A has a larger standard deviation, we may conclude that________.

The expression instructs us to _______.

Your score on the test is the same as the third quartile (Q3). You may conclude that________.

The second quartile (Q2) is equal in value to________.

The greater the skew of a distribution of scores, ________.

The range (R) is found by subtracting the lowest from the highest score in the distribution. Therefore, R could NOT be found for________.

A graph used to visualize and analyze variation is a________.

Which of the following data sets shows the greatest variability?

In a boxplot, an outlier is defined as a score that is________.

If a variable is interval-ratio in level of measurement, the preferred measure of variation would be________.

If the variance of a distribution is 16, the mean is 12, and the number of cases is 24, the standard deviation is________.

Introduction

Basic Descriptive Statistics Tables Percentages Rates and Ratios and Graphs

Measures of Central Tendency

The Normal Curve

Introduction to Inferential Statistics Sampling and the Sampling Distribution

Estimation Procedures

Hypothesis Testing I the One Sample Case

Hypothesis Testing Ii the Two Sample Case

Hypothesis Testing Iii the Analysis of Variance

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal and Ordinal Level Variables

Association Between Variables Measured at the Interval Ratio Level

Elaborating Bivariate Tables

Partial Correlation and Multiple Regression and Correlation

Filters

Exam 4: Measures of Variation

As a distribution of scores becomes more variable, the value of the standard deviation________.

If the standard deviation of a group of scores is 0,________.

The information below compares the final exam grades for 2 biology classes: What may we conclude? Class 1 _______.

The scores below are from the same final exam given in a math class in two different years. Compute the mean and median (if necessary) and the range and standard deviation of these scores. Using these statistics, describe the differences in the two sets of scores.

The standard deviation(s)________.

A boxplot uses all but which of the following to present dispersion?

If a distribution of scores has a mean of 30 and a range of 0________.

If distribution A and distribution B have the same mean but A has a larger standard deviation, we may conclude that________.

The expression instructs us to _______.

Your score on the test is the same as the third quartile (Q3). You may conclude that________.

The second quartile (Q2) is equal in value to________.

The greater the skew of a distribution of scores, ________.

The range (R) is found by subtracting the lowest from the highest score in the distribution. Therefore, R could NOT be found for________.

A graph used to visualize and analyze variation is a________.

Which of the following data sets shows the greatest variability?

In a boxplot, an outlier is defined as a score that is________.

If a variable is interval-ratio in level of measurement, the preferred measure of variation would be________.

If the variance of a distribution is 16, the mean is 12, and the number of cases is 24, the standard deviation is________.

Introduction

Basic Descriptive Statistics Tables Percentages Rates and Ratios and Graphs

Measures of Central Tendency

The Normal Curve

Introduction to Inferential Statistics Sampling and the Sampling Distribution

Estimation Procedures

Hypothesis Testing I the One Sample Case

Hypothesis Testing Ii the Two Sample Case

Hypothesis Testing Iii the Analysis of Variance

Hypothesis Testing Iv Chi Square

Bivariate Association for Nominal and Ordinal Level Variables

Association Between Variables Measured at the Interval Ratio Level

Elaborating Bivariate Tables

Partial Correlation and Multiple Regression and Correlation

Filters