Question 1

A frequency distribution had a mean of 3 and a median of -3. In the usual case of continuous data the distribution is

Accepted Answer

A)  positively skewed 
B)  negatively skewed 
C)  symmetrical 
D)  you would have to know the mode in order to answer the question. 
A)  positively skewed 
B)  negatively skewed 
C)  symmetrical 
D)  you would have to know the mode in order to answer the question. A

Question 2

Find the mean, median, and mode and tell the direction of skew, if any. $$\begin{array} { l l } 
X & f \
\hline 23 & 1 \
22 & 2 \
21 & 4 \
20 & 4 \
19 & 3 \
18 & 3 \
17 & 1
\end{array}$$

Accepted Answer

$\begin{array}{lr}
X & f \
\hline 23 & 1 \
22 & 2 \
21 & 4 \
20 & 4 \
19 & 3 \
18 & 3 \
17 &\underline{ 1} \
\Sigma & 18
\end{array}$

This distribution is fairly symmetrical. $\bar { X } = \frac { 359 } { 18 } = 19.94$; Median location is $( 18 + 1 ) / 2 = 9.5$. The $9.5 ^ { \text {th } }$ score is among the 20's. Median $= 20$; Mode $= 20.5$, the mean of 20 and 21, the two most frequently occurring scores.

Question 3

Two investigators tested their friends for memory span. The first tested five people and found a mean of 6.0. The second tested nine people and found a mean of 7.0. The weighted mean for the data is

Accepted Answer

A)  6.00 
B)  6.50 
C)  6.64 
D)  7.00. 
A)  6.00 
B)  6.50 
C)  6.64 
D)  7.00. C

Question 4

A distribution cannot have two means.

Accepted Answer

A) True 
 B)False

Question 5

Imagine a bar graph with the following categories and frequencies: almonds, 4; betel, 6; cashew, 3; donut, 7. The central tendency statistic that is appropriate and its value:

Accepted Answer

A)  median, 4 
B)  median, 5 
C)  mode, 7 
D)  mode, donut. 
A)  median, 4 
B)  median, 5 
C)  mode, 7 
D)  mode, donut.

Question 6

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 mean of Data Set 3-4 is

Accepted Answer

A)  24.9 
B)  58.0 
C)  25.4 
D)  23.9. 
A)  24.9 
B)  58.0 
C)  25.4 
D)  23.9.

Question 7

The central tendency statistic that cannot be calculated on an open-ended distribution is the mean.

Accepted Answer

A) True 
 B)False

Question 8

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

Accepted Answer

A)  If each score is squared, the sum will be greater than the mean. 
B)  If each score is squared, the sum will be less than the mean. 
C)  The sum of A's is zero, where A is the difference between each score and the mean. 
D)  None of the other alternatives are correct. 
A)  If each score is squared, the sum will be greater than the mean. 
B)  If each score is squared, the sum will be less than the mean. 
C)  The sum of A's is zero, where A is the difference between each score and the mean. 
D)  None of the other alternatives are correct.

Question 9

Summing the scores and dividing by N produces the median.

Accepted Answer

A) True 
 B)False

Question 10

Find the mean, median, and mode for the sample frequency distribution. $$\begin{array} { l r } 
X & f \
\hline 7 & 10 \
6 & 8 \
5 & 6 \
4 & 2 \
3 & 1 \
2 & 1
\end{array}$$

Accepted Answer

None

Question 11

If trees in a forest were classified as pine, cedar, oak, hickory and other, the appropriate measure of central tendency would be

Accepted Answer

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

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 mode of Data Set 3-3 is

Accepted Answer

A)  5 
B)  16 
C)  17 
D)  26. 
A)  5 
B)  16 
C)  17 
D)  26.

Question 13

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. A mean calculated for these data should be symbolized

Accepted Answer

A)  $\mu$ 
B)  $\overline { \mathrm { X } }$ 
C)  either $\mu$ or $\overline { \mathrm { X } }$ 
D)  neither $\mu$ nor $\overline { \mathrm { X } }$ 
A)  $\mu$ 
B)  $\overline { \mathrm { X } }$ 
C)  either $\mu$ or $\overline { \mathrm { X } }$ 
D)  neither $\mu$ nor $\overline { \mathrm { X } }$

Question 14

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

Accepted Answer

A)  3.5 
B)  8 
C)  9 
D)  22.5. 
A)  3.5 
B)  8 
C)  9 
D)  22.5.

Question 15

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

Accepted Answer

A)  9 
B)  5 
C)  4.5 
D)  4. 
A)  9 
B)  5 
C)  4.5 
D)  4.

Question 16

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ), are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

Accepted Answer

A)  the maximum size of the mean and the minimum size of the mean 
B)  the size of the deviations when the mean is positive and the size when the mean is negative 
C)  the sum of the deviations and the size of the sum of the squared deviations 
D)  the maximum size of the deviations and their minimum size. 
A)  the maximum size of the mean and the minimum size of the mean 
B)  the size of the deviations when the mean is positive and the size when the mean is negative 
C)  the sum of the deviations and the size of the sum of the squared deviations 
D)  the maximum size of the deviations and their minimum size.

Question 17

The mode is the midpoint between the largest score and the smallest score.

Accepted Answer

A) True 
 B)False

Question 18

The median of the numbers 3, 1, 2, 2, 3, 2, is

Accepted Answer

A)  2 
B)  2.5 
C)  3 
D)  3.5. 
A)  2 
B)  2.5 
C)  3 
D)  3.5.

Question 19

Find the median of each distribution below.
-$$\begin{array} { l l } 
X & f \
\hline 8 & 4 \
7 & 5 \
6 & 4 \
5 & 6 \
4 & 1
\end{array}$$

Accepted Answer

\[\begin{array} { l } 
\mathrm

Question 20

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 mode is

Accepted Answer

A)  10 
B)  8 
C)  7 
D)  2. 
A)  10 
B)  8 
C)  7 
D)  2.

A frequency distribution had a mean of 3 and a median of -3. In the usual case of continuous data the distribution is

Find the mean, median, and mode and tell the direction of skew, if any. X f 23 1 22 2 21 4 20 4 19 3 18 3 17 1

Two investigators tested their friends for memory span. The first tested five people and found a mean of 6.0. The second tested nine people and found a mean of 7.0. The weighted mean for the data is

A distribution cannot have two means.

Imagine a bar graph with the following categories and frequencies: almonds, 4; betel, 6; cashew, 3; donut, 7. The central tendency statistic that is appropriate and its value:

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 mean of Data Set 3-4 is

The central tendency statistic that cannot be calculated on an open-ended distribution is the mean.

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

Summing the scores and dividing by N produces the median.

Find the mean, median, and mode for the sample frequency distribution. X f 7 10 6 8 5 6 4 2 3 1 2 1

If trees in a forest were classified as pine, cedar, oak, hickory and other, the appropriate measure of central tendency would be

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 mode of Data Set 3-3 is

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

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

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ), are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

The mode is the midpoint between the largest score and the smallest score.

The median of the numbers 3, 1, 2, 2, 3, 2, is

Find the median of each distribution below. - X f 8 4 7 5 6 4 5 6 4 1

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

A frequency distribution had a mean of 3 and a median of -3. In the usual case of continuous data the distribution is

Find the mean, median, and mode and tell the direction of skew, if any. X f 23 1 22 2 21 4 20 4 19 3 18 3 17 1

Two investigators tested their friends for memory span. The first tested five people and found a mean of 6.0. The second tested nine people and found a mean of 7.0. The weighted mean for the data is

A distribution cannot have two means.

Imagine a bar graph with the following categories and frequencies: almonds, 4; betel, 6; cashew, 3; donut, 7. The central tendency statistic that is appropriate and its value:

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 mean of Data Set 3-4 is

The central tendency statistic that cannot be calculated on an open-ended distribution is the mean.

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

Summing the scores and dividing by N produces the median.

Find the mean, median, and mode for the sample frequency distribution. X f 7 10 6 8 5 6 4 2 3 1 2 1

If trees in a forest were classified as pine, cedar, oak, hickory and other, the appropriate measure of central tendency would be

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 mode of Data Set 3-3 is

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

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

When the deviation scores, ( XXX - X‾\overline { \mathrm { X } }X ), are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

The mode is the midpoint between the largest score and the smallest score.

The median of the numbers 3, 1, 2, 2, 3, 2, is

Find the median of each distribution below. - X f 8 4 7 5 6 4 5 6 4 1

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

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ), are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved