Question 1

Which measure of dispersion is most important and most commonly used in social science research?

Accepted Answer

A) the range 
B) the average deviation 
C) the median 
D) the standard deviation 
A) the range 
B) the average deviation 
C) the median 
D) the standard deviation D

Question 2

The lower limit for the standard deviation is 0;the upper limit is

Accepted Answer

A) the score of the mean. 
B) the score of the median. 
C) a function of the number of cases. 
D) undefined;there is no upper limit. 
A) the score of the mean. 
B) the score of the median. 
C) a function of the number of cases. 
D) undefined;there is no upper limit. D

Question 3

The expression $\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 }$
Instructs us to

Accepted Answer

A) square the sum of the scores. 
B) sum the squared scores. 
C) sum the squared deviations. 
D) square the summed deviations. 
A) square the sum of the scores. 
B) sum the squared scores. 
C) sum the squared deviations. 
D) square the summed deviations. C

Question 4

Measures of central tendency (like the mean)and measures of dispersion (like the range)provide information about distributions of scores which is

Accepted Answer

A) contradictory. 
B) redundant. 
C) unnecessary. 
D) complementary. 
A) contradictory. 
B) redundant. 
C) unnecessary. 
D) complementary.

Question 5

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 these.Measures of dispersion 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 these.Measures of dispersion are not affected by skew.

Question 6

The sum of the squared deviations around the mean for a distribution of 10 scores is 1000.The standard deviation

Accepted Answer

A) is 10. 
B) is 100. 
C) is 1. 
D) can't be determined from this information. 
A) is 10. 
B) is 100. 
C) is 1. 
D) can't be determined from this information.

Question 7

The standard deviation differs from the average deviation in that it

Accepted Answer

A) squares the deviations to eliminate minus 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 minus 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 8

The distances between the scores and the mean are called

Accepted Answer

A) deviations. 
B) differences. 
C) ranges. 
D) summations. 
A) deviations. 
B) differences. 
C) ranges. 
D) summations.

Question 9

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 10

The income of a sample has been measured in dollars per year.Which of the following would be the preferred measure the dispersion for this variable? The

Accepted Answer

A) ratio of simultaneous proportions. 
B) average deviation. 
C) quartile deviation. 
D) standard deviation. 
A) ratio of simultaneous proportions. 
B) average deviation. 
C) quartile deviation. 
D) standard deviation.

Question 11

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 dispersion. 
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 dispersion. 
D) distribution B displays more variety.

Question 12

The interquartile range would be an appropriate measure of dispersion for

Accepted Answer

A) nominal level variables. 
B) interval-ratio level variables only. 
C) ordinal level variables. 
D) variables with negative skews. 
A) nominal level variables. 
B) interval-ratio level variables only. 
C) ordinal level variables. 
D) variables with negative skews.

Question 13

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 distribution of this variable? In central tendency? In dispersion?
 $$\begin{array} { l l l } 
&\underline{ 1985 }&  \underline{ 2005 }\
\text { Men } = & { 150.32 } & { 125.17 } \
\text { Medius } = & 117.17 & 123.01 \
\text { Standard Devidion } = & 1273 & 701
\end{array}$$

Accepted Answer

The auto theft rates (number of auto the

Question 14

The average deviation is

Accepted Answer

A) always less than the standard deviation. 
B) based on squaring the differences between the mean and scores. 
C) actually a measure of central tendency,not dispersion. 
D) not commonly useD. 
A) always less than the standard deviation. 
B) based on squaring the differences between the mean and scores. 
C) actually a measure of central tendency,not dispersion. 
D) not commonly useD.

Question 15

The expression $\Sigma\left(X_{i}-\bar{X}\right)$
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 16

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.

Question 17

The age of a sample has been measured in years.Which of the following would be the preferred measure the dispersion for this variable?

Accepted Answer

A) the mean 
B) the average deviation 
C) the quartile deviation 
D) the standard deviation 
A) the mean 
B) the average deviation 
C) the quartile deviation 
D) the standard deviation

Question 18

The information below compares the final exam grades for 2 biology classes:
$\begin{array}{|l|l|}
\hline \text { Class } 1&\text { Class } 2\
\hline\
\hline \bar { X }&\bar { X }\
=80.2 & =81.3 \
\hline s=12.1 & s=6.7 \
\hline N=25 & N=23 \
\hline
\end{array}$
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.

Question 19

When you subtract the value of the mean from each score in a distribution and then add the results,the sum will be

Accepted Answer

A) 0. 
B) the standard deviation. 
C) the variance. 
D) a positive number. 
A) 0. 
B) the standard deviation. 
C) the variance. 
D) a positive number.

Question 20

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) interval-ratio variables. 
C) ordinal level variables. 
D) variables with pronounced skews. 
A) nominal level variables. 
B) interval-ratio variables. 
C) ordinal level variables. 
D) variables with pronounced skews.

Which measure of dispersion is most important and most commonly used in social science research?

The lower limit for the standard deviation is 0;the upper limit is

The expression $\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 }$ Instructs us to

Measures of central tendency (like the mean)and measures of dispersion (like the range)provide information about distributions of scores which is

The greater the skew of a distribution of scores,

The sum of the squared deviations around the mean for a distribution of 10 scores is 1000.The standard deviation

The standard deviation differs from the average deviation in that it

The distances between the scores and the mean are called

Which of the following data sets shows the greatest variability?

The income of a sample has been measured in dollars per year.Which of the following would be the preferred measure the dispersion for this variable? The

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

The interquartile range would be an appropriate measure of dispersion for

The average deviation is

The expression $\Sigma\left(X_{i}-\bar{X}\right)$ Instructs us to

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

The age of a sample has been measured in years.Which of the following would be the preferred measure the dispersion for this variable?

The information below compares the final exam grades for 2 biology classes: Class 1 Class 2 =80.2 =81.3 s=12.1 s=6.7 N=25 N=23 What may we conclude? Class 1

When you subtract the value of the mean from each score in a distribution and then add the results,the sum will be

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

Introduction

Basic Descriptive Statistics: Percentages Ratios and Rates Frequency Distributions

Charts and Graphs

Measures of Central Tendency

The Normal Curve

Introduction in Inferential Statistics, the Sampling Distribution, and Estimation

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

Introduction to Bivariate Association and Measures of Association for Variables Measured at the Nominal Level

Association Between Variables Measured at the Ordinal Level

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and Multiple Regression and Correlation

Filters

Exam 5: Measures of Dispersion

Which measure of dispersion is most important and most commonly used in social science research?

The lower limit for the standard deviation is 0;the upper limit is

The expression Σ(Xi−Xˉ)2\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 }Σ(Xi​−Xˉ)2 Instructs us to

Measures of central tendency (like the mean)and measures of dispersion (like the range)provide information about distributions of scores which is

The greater the skew of a distribution of scores,

The sum of the squared deviations around the mean for a distribution of 10 scores is 1000.The standard deviation

The standard deviation differs from the average deviation in that it

The distances between the scores and the mean are called

Which of the following data sets shows the greatest variability?

The income of a sample has been measured in dollars per year.Which of the following would be the preferred measure the dispersion for this variable? The

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

The interquartile range would be an appropriate measure of dispersion for

The average deviation is

The expression Σ(Xi−Xˉ)\Sigma\left(X_{i}-\bar{X}\right)Σ(Xi​−Xˉ) Instructs us to

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

The age of a sample has been measured in years.Which of the following would be the preferred measure the dispersion for this variable?

The information below compares the final exam grades for 2 biology classes: Class 1 Class 2 =80.2 =81.3 s=12.1 s=6.7 N=25 N=23 What may we conclude? Class 1

When you subtract the value of the mean from each score in a distribution and then add the results,the sum will be

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

Introduction

Basic Descriptive Statistics: Percentages Ratios and Rates Frequency Distributions

Charts and Graphs

Measures of Central Tendency

The Normal Curve

Introduction in Inferential Statistics, the Sampling Distribution, and Estimation

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

Introduction to Bivariate Association and Measures of Association for Variables Measured at the Nominal Level

Association Between Variables Measured at the Ordinal Level

Association Between Variables Measured at the Interval-Ratio Level

Partial Correlation and Multiple Regression and Correlation

Filters

The expression $\Sigma \left( X _ { i } - \bar { X } \right) ^ { 2 }$ Instructs us to

The expression $\Sigma\left(X_{i}-\bar{X}\right)$ Instructs us to