Question 1

Find the mean of each group below, and use them to find the mean of the two groups. Show your work. $$\begin{array} { l r r r r r r } 
\text { Group 1 } & 14 & 10 & 7 & 5 & 3 & 11 \
\text { Group 2 } & 2 & 3 & 8 & & &
\end{array}$$

Accepted Answer

None

Question 2

Find the mean, median, and mode and tell the direction of skew, if any. $$\begin{array} { l l } 
X & f \
\hline 30 & 2 \
29 & 6 \
28 & 4 \
27 & 3 \
26 & 2 \
25 & 0 \
24 & 1
\end{array}$$

Accepted Answer

None

Question 3

A characteristic of the mean is that $\Sigma ( X - \bar { X } )$ = 0.

Accepted Answer

A) True 
 B)False

Question 4

The mean of 2, 3, and 4 is 3.0. The mean of 5, 6, 7, 8, and 9 is 7.0. The weighted mean is

Accepted Answer

A)  5.0 
B)  4.5 
C)  5.5 
A)  5.0 
B)  4.5 
C)  5.5

Question 5

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

A)  The sum of the results of squaring the difference between each score and the mean is a minimum. 
B)  The sum of the results of squaring the difference between each score and the mean is zero. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives. 
A)  The sum of the results of squaring the difference between each score and the mean is a minimum. 
B)  The sum of the results of squaring the difference between each score and the mean is zero. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives.

Question 6

"The mean age for freshmen is 18; for sophomores, 19; for juniors, 20; and for seniors,21. Therefore, the mean age of the student body is 19.5." Do you agree or not, and if not, why not?

Accepted Answer

This would be true only in the unlikely

Question 7

The location of the median is found using the formula, $\frac { N - 1 } { 2 }$ .

Accepted Answer

A) True 
 B)False

Question 8

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

A)  The sum of the results of squaring the difference between each score and the mean is zero. 
B)  The sum of the results of subtracting the mean from each score is a minimum. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives. 
A)  The sum of the results of squaring the difference between each score and the mean is zero. 
B)  The sum of the results of subtracting the mean from each score is a minimum. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives.

Question 9

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

A)  The sum of the results of subtracting the mean from each score is a minimum. 
B)  The sum of the results of subtracting the mean from each score is zero. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives. 
A)  The sum of the results of subtracting the mean from each score is a minimum. 
B)  The sum of the results of subtracting the mean from each score is zero. 
C)  Both of the descriptive alternatives. 
D)  Neither of the descriptive alternatives.

Question 10

The U.S. Department of Agriculture reported the total number of bushels harvested of corn, soybeans, wheat, rice, and oats. This is a frequency distribution of a _______ variable; the proper measure of central tendency is a _______.

Accepted Answer

A)  nominal mode 
B)  ordinal mode 
C)  nominal median 
D)  ordinal median. 
A)  nominal mode 
B)  ordinal mode 
C)  nominal median 
D)  ordinal median.

Question 11

The location of the median is found using the formula, $\frac { N + 1 } { 2 }$ .

Accepted Answer

A) True 
 B)False

Question 12

Data Set 3-3: These data are representative of a freshman class at a Midwestern university.
 $$\begin{array} { c c } 
\text { ACT Scores } & f \
\hline 35 & 1 \
33 & 1 \
32 & 1 \
28 & 3 \
27 & 3 \
26 & 5 \
22 & 2 \
20 & 1
\end{array}$$
-The median of Data Set 3-3 is

Accepted Answer

A)  27.5 
B)  27 
C)  426 
D)  8.5 
A)  27.5 
B)  27 
C)  426 
D)  8.5

Question 13

Your textbook described three situations in which the median is the preferred measure of central tendency. List them.

Accepted Answer

skewed data, open-en

Question 14

The distribution of weight of men in the American population is not symmetrical. Most weights are bunched together at the lower end of the distribution. As weights increase there are fewer and fewer men with these weights. In one study of college men, in the mid-west, 18-22 years old, the median was 156 pounds. Will the mean of this distribution be larger or smaller? Hint: drawing a picture of the distribution may be helpful.

Accepted Answer

The answer of The distribution of weight of men in...

Question 15

The mean is the proper descriptive statistic when

Accepted Answer

A)  you have nominal data 
B)  you have ordinal data 
C)  you have severely skewed data 
D)  none of the other alternatives are correct. 
A)  you have nominal data 
B)  you have ordinal data 
C)  you have severely skewed data 
D)  none of the other alternatives are correct.

Question 16

Data Set 3-2: 5, 5, 1, 4, 4, 5
-The median of Data Set 3-2 is

Accepted Answer

A)  5 
B)  4.5 
C)  4 
D)  24. 
A)  5 
B)  4.5 
C)  4 
D)  24.

Question 17

Data Set 3-4
The descriptive statistics for these data are approximately the same as those of a freshman class at a small private college.
 $$\begin{array} { c c } 
\text { ACT Scores } & f \
\hline 34 & 1 \
29 & 1 \
25 & 3 \
24 & 3 \
23 & 5 \
22 & 3 \
15 & 1
\end{array}$$
-The median of Data Set 3-4 is

Accepted Answer

A)  8.5 
B)  17 
C)  23 
D)  24. 
A)  8.5 
B)  17 
C)  23 
D)  24.

Question 18

Your textbook recommends that the first step in working a problem should be to

Accepted Answer

A)  build a database 
B)  re-read the problem 
C)  copy the data 
D)  estimate the answer. 
A)  build a database 
B)  re-read the problem 
C)  copy the data 
D)  estimate the answer.

Question 19

Data Set 3-2: 5, 5, 1, 4, 4, 5
-The mode of Data Set 3-2 is

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6. 
A)  3 
B)  4 
C)  5 
D)  6.

Question 20

"For our study of driving habits, we recorded the speed of every fifth vehicle on Drury Lane. Nearly every car traveled right at the speed limit or a little over, but there were some that were 10 mph under, even fewer at 20 mph under, and one car that crept by at just 15 mph. On the basis of the central tendency calculation on our data, we drew conclusions about all drivers on this stretch of road." The proper central tendency value calculated from the data is the

Accepted Answer

A)  population median 
B)  sample median 
C)  population mean ($\mu$ ) 
D)  sample mean ( $\overline { \mathrm { X } }$ ). 
A)  population median 
B)  sample median 
C)  population mean ($\mu$ ) 
D)  sample mean ( $\overline { \mathrm { X } }$ ).

Find the mean of each group below, and use them to find the mean of the two groups. Show your work. Group 1 14 10 7 5 3 11 Group 2 2 3 8

Find the mean, median, and mode and tell the direction of skew, if any. X f 30 2 29 6 28 4 27 3 26 2 25 0 24 1

A characteristic of the mean is that $\Sigma ( X - \bar { X } )$ = 0.

The mean of 2, 3, and 4 is 3.0. The mean of 5, 6, 7, 8, and 9 is 7.0. The weighted mean is

Your text noted which of the following as a characteristic of the mean?

"The mean age for freshmen is 18; for sophomores, 19; for juniors, 20; and for seniors,21. Therefore, the mean age of the student body is 19.5." Do you agree or not, and if not, why not?

The location of the median is found using the formula, $\frac { N - 1 } { 2 }$ .

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean?

The U.S. Department of Agriculture reported the total number of bushels harvested of corn, soybeans, wheat, rice, and oats. This is a frequency distribution of a _ variable; the proper measure of central tendency is a _.

The location of the median is found using the formula, $\frac { N + 1 } { 2 }$ .

Data Set 3-3: These data are representative of a freshman class at a Midwestern university. ACT Scores f 35 1 33 1 32 1 28 3 27 3 26 5 22 2 20 1 -The median of Data Set 3-3 is

Your textbook described three situations in which the median is the preferred measure of central tendency. List them.

The mean is the proper descriptive statistic when

Data Set 3-2: 5, 5, 1, 4, 4, 5 -The median of Data Set 3-2 is

Data Set 3-4 The descriptive statistics for these data are approximately the same as those of a freshman class at a small private college. ACT Scores f 34 1 29 1 25 3 24 3 23 5 22 3 15 1 -The median of Data Set 3-4 is

Your textbook recommends that the first step in working a problem should be to

Data Set 3-2: 5, 5, 1, 4, 4, 5 -The mode of Data Set 3-2 is

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Variability

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

More Nonparametric Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

Exam 3: Exploring Data: Central Tendency

Find the mean of each group below, and use them to find the mean of the two groups. Show your work. Group 1 14 10 7 5 3 11 Group 2 2 3 8

Find the mean, median, and mode and tell the direction of skew, if any. X f 30 2 29 6 28 4 27 3 26 2 25 0 24 1

A characteristic of the mean is that Σ(X−Xˉ)\Sigma ( X - \bar { X } )Σ(X−Xˉ) = 0.

The mean of 2, 3, and 4 is 3.0. The mean of 5, 6, 7, 8, and 9 is 7.0. The weighted mean is

Your text noted which of the following as a characteristic of the mean?

"The mean age for freshmen is 18; for sophomores, 19; for juniors, 20; and for seniors,21. Therefore, the mean age of the student body is 19.5." Do you agree or not, and if not, why not?

The location of the median is found using the formula, N−12\frac { N - 1 } { 2 }2N−1​ .

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean?

The U.S. Department of Agriculture reported the total number of bushels harvested of corn, soybeans, wheat, rice, and oats. This is a frequency distribution of a _______ variable; the proper measure of central tendency is a _______.

The location of the median is found using the formula, N+12\frac { N + 1 } { 2 }2N+1​ .

Data Set 3-3: These data are representative of a freshman class at a Midwestern university. ACT Scores f 35 1 33 1 32 1 28 3 27 3 26 5 22 2 20 1 -The median of Data Set 3-3 is

Your textbook described three situations in which the median is the preferred measure of central tendency. List them.

The mean is the proper descriptive statistic when

Data Set 3-2: 5, 5, 1, 4, 4, 5 -The median of Data Set 3-2 is

Data Set 3-4 The descriptive statistics for these data are approximately the same as those of a freshman class at a small private college. ACT Scores f 34 1 29 1 25 3 24 3 23 5 22 3 15 1 -The median of Data Set 3-4 is

Your textbook recommends that the first step in working a problem should be to

Data Set 3-2: 5, 5, 1, 4, 4, 5 -The mode of Data Set 3-2 is

Introduction

Exploring Data: Frequency Distributions and Graphs

Exploring Data: Variability

Other Descriptive Statistics

Correlation and Regression

Theoretical Distributions Including the Normal Distribution

Samples, Sampling Distributions, and Confidence Intervals

Hypothesis Testing and Effect Size: One-Sample Designs

Hypothesis Testing, Effect Size, and and Confidence Intervals: Two-Sample Designs

Analysis of Variance: One-Way Classification

Analysis of Variance: One-Factor Repeated Measures

Analysis of Variance: Factorial Design

Chi Square Tests

More Nonparametric Tests

Appendix: Grouped Frequency Distributions and Central Tendency

Filters

A characteristic of the mean is that $\Sigma ( X - \bar { X } )$ = 0.

The location of the median is found using the formula, $\frac { N - 1 } { 2 }$ .

The U.S. Department of Agriculture reported the total number of bushels harvested of corn, soybeans, wheat, rice, and oats. This is a frequency distribution of a _ variable; the proper measure of central tendency is a _.

The location of the median is found using the formula, $\frac { N + 1 } { 2 }$ .