Question 1

One way to find the median is to sum the scores and divide by N.

Accepted Answer

A) True 
 B)False

Question 2

A distribution cannot have two medians.

Accepted Answer

A) True 
 B)False

Question 3

Which of the following was not a consideration in deciding whether to use the mean as the appropriate measure of central tendency?

Accepted Answer

A)  size and number of class intervals 
B)  degree of skew of the distribution 
C)  whether any class intervals have no upper limit or a lower limit 
D)  the scale of measurement used. 
A)  size and number of class intervals 
B)  degree of skew of the distribution 
C)  whether any class intervals have no upper limit or a lower limit 
D)  the scale of measurement used.

Question 4

The mean is an appropriate measure of central tendency for skewed distributions.

Accepted Answer

A) True 
 B)False

Question 5

Suppose the mean ACT score for high school seniors in Big City was 21; for Small Town seniors was 20 and for Tiny Berg seniors was 19. The mean of the seniors in the three places is

Accepted Answer

A)  20 
B)  less than 20 
C)  more than 20. 
A)  20 
B)  less than 20 
C)  more than 20.

Question 6

Among the legendary ranches in North America such as the Pitchfork Land and Cattle Company and the O OR Ranch, some authors include the mythical Stats Bar-X Ranch. The Stats Bar-X, known for its century-old horse breeding program, is famous for big horses. The measures below, in hands, are a sample of heights on the Bar-X. (A hand is equal to 4 inches.) Find the mean, median, and mode. $$\begin{array} { l l l l l l l l } 
16 & 19 & 17 & 16 & 18 & 18 & 15 & 20 \
17 & 18 & 14 & 16 & 17 & 19 & 15 & 17
\end{array}$$

Accepted Answer

hands, whi

Question 7

The mean temperature for January was 30$\degree$F. In February the mean was 25$\degree$F and for March the mean was 35$\degree$F. The weighted mean for these three months is

Accepted Answer

A)  30$\degree$F 
B)  greater than 30$\degree$F 
C)  less than 30$\degree$F. 
A)  30$\degree$F 
B)  greater than 30$\degree$F 
C)  less than 30$\degree$F.

Question 8

In which situation would the mean be an appropriate measure of central tendency?

Accepted Answer

A)  Most of the scores are near the minimum, a few are in the middle range, and there are almost none near the maximum 
B)  We have frequency data on cows, horses, mules, and goats 
C)  The data categories in the soil analysis are: 0-2 ppm, 3-5 ppm, 6-8 ppm, 9-11 ppm, and over 11 ppm 
D)  None of the other alternatives are correct. 
A)  Most of the scores are near the minimum, a few are in the middle range, and there are almost none near the maximum 
B)  We have frequency data on cows, horses, mules, and goats 
C)  The data categories in the soil analysis are: 0-2 ppm, 3-5 ppm, 6-8 ppm, 9-11 ppm, and over 11 ppm 
D)  None of the other alternatives are correct.

Question 9

The _______ is appropriate for skewed data with an open-ended category.

Accepted Answer

A)  mean 
B)  median 
C)  mode 
D)  any of the other alternatives are correct. 
A)  mean 
B)  median 
C)  mode 
D)  any of the other alternatives are correct.

Question 10

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 mean of Data Set 3-3 is

Accepted Answer

A)  26.0 
B)  27.9 
C)  57.4 
D)  27.0 
A)  26.0 
B)  27.9 
C)  57.4 
D)  27.0

Question 11

The location of the median is found using the formula, $\frac { N + 1 } { 4 }$ .

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  5. 
A)  1 
B)  2 
C)  3 
D)  5.

Question 13

Three samples with N's of 5, 5, and 10 produced sample means of 2, 3, and 4 respectively. The weighted mean is

Accepted Answer

A)  6.67 
B)  3.00 
C)  3.25 
D)  3.50. 
A)  6.67 
B)  3.00 
C)  3.25 
D)  3.50.

Question 14

The median is the midpoint between the two scores that establish the range.

Accepted Answer

A) True 
 B)False

Question 15

Data Set 3-1 - CD A student was interested in the structure of the families in the U.S. He sampled 29 of his 330 classmates asking the question, "How many children are there in your family?" He compiled the answers into a simple frequency distribution:
 $$\begin{array} { l r } 
X & f \
\hline 7 & 1 \
5 & 2 \
4 & 3 \
3 & 6 \
2 & 10 \
1 & 7
\end{array}$$
-Refer to Data Set 3-1. The mean is

Accepted Answer

A)  3.67 
B)  2.25 
C)  2.35 
D)  none of the other alternatives are correct. 
A)  3.67 
B)  2.25 
C)  2.35 
D)  none of the other alternatives are correct.

Question 16

For a positively skewed curve, the usual case with continuous data is that

Accepted Answer

A)  high scores are more frequent and the mean is larger than the median 
B)  low scores are more frequent and the mean is larger than the median 
C)  high scores are more frequent and the mean is smaller than the median 
D)  low scores are more frequent and the mean is smaller than the median. 
A)  high scores are more frequent and the mean is larger than the median 
B)  low scores are more frequent and the mean is larger than the median 
C)  high scores are more frequent and the mean is smaller than the median 
D)  low scores are more frequent and the mean is smaller than the median.

Question 17

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  12.5. 
A)  4 
B)  5 
C)  6 
D)  12.5.

Question 18

Calculate the mean of each distribution below, and then use the means to calculate the weighted mean. $$\begin{array} { l l l l l l l } 
\text { Group 1 } & 2 & 4 & 9 & & & \
\text { Group 2 } & 5 & 3 & 5 & 4 & & \
\text { Group 3 } & 7 & 8 & 8 & 3 & 9 & 7
\end{array}$$

Accepted Answer

None

Question 19

Four sections of an introductory psychology course took the same 50-point exam. The means for the four sections and the number of students in each section follow: $\begin{array}{ccc}
\text { Section } & \bar{X} & \mathrm{~N} \
\hline \text { A } & 32.61 & 25 \
\text { B } & 30.29 & 43 \
\text { C } & 29.50 & 32 \
\text { D } & 27.06 &\underline{ 39}\
&&139
\end{array}$ What is the weighted mean for students in introductory psychology?

Accepted Answer

None

Question 20

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

Accepted Answer

A)  1.33 
B)  2.33 
C)  2.5 
D)  15. 
A)  1.33 
B)  2.33 
C)  2.5 
D)  15.

One way to find the median is to sum the scores and divide by N.

A distribution cannot have two medians.

Which of the following was not a consideration in deciding whether to use the mean as the appropriate measure of central tendency?

The mean is an appropriate measure of central tendency for skewed distributions.

Suppose the mean ACT score for high school seniors in Big City was 21; for Small Town seniors was 20 and for Tiny Berg seniors was 19. The mean of the seniors in the three places is

The mean temperature for January was 30 $\degree$ F. In February the mean was 25 $\degree$ F and for March the mean was 35 $\degree$ F. The weighted mean for these three months is

In which situation would the mean be an appropriate measure of central tendency?

The _______ is appropriate for skewed data with an open-ended category.

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 mean of Data Set 3-3 is

The location of the median is found using the formula, $\frac { N + 1 } { 4 }$ .

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

Three samples with N's of 5, 5, and 10 produced sample means of 2, 3, and 4 respectively. The weighted mean is

The median is the midpoint between the two scores that establish the range.

For a positively skewed curve, the usual case with continuous data is that

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

Calculate the mean of each distribution below, and then use the means to calculate the weighted mean. Group 1 2 4 9 Group 2 5 3 5 4 Group 3 7 8 8 3 9 7

Four sections of an introductory psychology course took the same 50-point exam. The means for the four sections and the number of students in each section follow: Section A 32.61 25 B 30.29 43 C 29.50 32 D 27.06 139 What is the weighted mean for students in introductory psychology?

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mean of Data Set 3-5 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

One way to find the median is to sum the scores and divide by N.

A distribution cannot have two medians.

Which of the following was not a consideration in deciding whether to use the mean as the appropriate measure of central tendency?

The mean is an appropriate measure of central tendency for skewed distributions.

Suppose the mean ACT score for high school seniors in Big City was 21; for Small Town seniors was 20 and for Tiny Berg seniors was 19. The mean of the seniors in the three places is

The mean temperature for January was 30 °\degree° F. In February the mean was 25 °\degree° F and for March the mean was 35 °\degree° F. The weighted mean for these three months is

In which situation would the mean be an appropriate measure of central tendency?

The _______ is appropriate for skewed data with an open-ended category.

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 mean of Data Set 3-3 is

The location of the median is found using the formula, N+14\frac { N + 1 } { 4 }4N+1​ .

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

Three samples with N's of 5, 5, and 10 produced sample means of 2, 3, and 4 respectively. The weighted mean is

The median is the midpoint between the two scores that establish the range.

For a positively skewed curve, the usual case with continuous data is that

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

Calculate the mean of each distribution below, and then use the means to calculate the weighted mean. Group 1 2 4 9 Group 2 5 3 5 4 Group 3 7 8 8 3 9 7

Four sections of an introductory psychology course took the same 50-point exam. The means for the four sections and the number of students in each section follow: Section A 32.61 25 B 30.29 43 C 29.50 32 D 27.06 139 What is the weighted mean for students in introductory psychology?

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mean of Data Set 3-5 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

The mean temperature for January was 30 $\degree$ F. In February the mean was 25 $\degree$ F and for March the mean was 35 $\degree$ F. The weighted mean for these three months is

The location of the median is found using the formula, $\frac { N + 1 } { 4 }$ .