Question 1

For a negatively skewed distribution, the mean usually has a larger value than either the median or the mode.

Accepted Answer

A) True 
 B)False

Question 2

A distribution of scores has a mean of 50, a median of 53, and a mode of 56.Based on this information it appears that the distribution is negatively skewed.

Accepted Answer

A) True 
 B)False

Question 3

What is the median for the population of scores shown in the frequency distribution table? $\begin{array}{cc}
X & f \
\hline 5 & 1 \
4 & 2 \
3 & 3 \
2 & 4 \
1 & 2
\end{array}$

Accepted Answer

A)  $ 2.5 $ 
B)  3 
C)  $ 3.5 $ 
D)  4 
A)  $ 2.5 $ 
B)  3 
C)  $ 3.5 $ 
D)  4

Question 4

Which of the following statements cannot be true for a distribution of scores?

Accepted Answer

A) 60% of the scores are above the mean. 
B) 60% of the scores are above the median. 
C) 60% of the scores are above the mode. 
D) All of the other options are false statements. 
A) 60% of the scores are above the mean. 
B) 60% of the scores are above the median. 
C) 60% of the scores are above the mode. 
D) All of the other options are false statements.

Question 5

What is the mean for the following sample of scores? Scores: 1, 4, 5, 10

Accepted Answer

A) 20 
B) 10 
C) 5 
D) 4 
A) 20 
B) 10 
C) 5 
D) 4

Question 6

The mean is considered to be the "balance point" for a distribution because exactly half of the scores are located above the mean and exactly half are below the mean.

Accepted Answer

A) True 
 B)False

Question 7

For a distribution with one or two extreme scores, the median is usually a more representative value than the mean.

Accepted Answer

A) True 
 B)False

Question 8

A student takes a 10-point quiz each week in statistics class.If the student's quiz scores for the first three weeks are 2, 6, and 10, then the mean score is M = 9.

Accepted Answer

A) True 
 B)False

Question 9

A population has a mean of µ = 30.If 3 points are added to each score, what is the mean for the new distribution?

Accepted Answer

A) 27 
B) 30 
C) 33 
D) cannot be determined from the information given 
A) 27 
B) 30 
C) 33 
D) cannot be determined from the information given

Question 10

It is impossible for the value of the mode to be greater than the value of the mean.

Accepted Answer

A) True 
 B)False

Question 11

A distribution is positively skewed.Which is the most probable order, from smallest to largest, for the three measures of central tendency?

Accepted Answer

A) mean, median, mode 
B) mode, median, mean 
C) mean, mode, median 
D) median, mean, mode 
A) mean, median, mode 
B) mode, median, mean 
C) mean, mode, median 
D) median, mean, mode

Question 12

Adding a new score to a distribution will always change the value of the mean.

Accepted Answer

A) True 
 B)False

Question 13

For a severely skewed distribution, the median often provides a better measure of central tendency than the mean.

Accepted Answer

A) True 
 B)False

Question 14

A researcher measures eye color for a sample of n = 50 people.Which measure of central tendency would be appropriate to summarize the measurements?

Accepted Answer

A) mean 
B) median 
C) mode 
D) any of the three measures could be used 
A) mean 
B) median 
C) mode 
D) any of the three measures could be used

Question 15

A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and
M = 60.If the two samples are combined, the combined sample mean will be greater than 55.

Accepted Answer

A) True 
 B)False

Question 16

What is the mode for the population of scores shown in the frequency distribution table? $\begin{array}{cc}
\mathrm{X} & \mathrm{f} \
\hline 5 & 1 \
4 & 2 \
3 & 3 \
2 & 4 \
1 & 2
\end{array}$

Accepted Answer

A)  2 
B)  3 
C)  $ 3.5 $ 
D)  4 
A)  2 
B)  3 
C)  $ 3.5 $ 
D)  4

Question 17

A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students.However, one of the participants fails to solve the problems so the researcher has an undetermined score.What is the best measure of central tendency for these data?

Accepted Answer

A) the mean 
B) the median 
C) the mode 
D) Central tendency cannot be determined for these data. 
A) the mean 
B) the median 
C) the mode 
D) Central tendency cannot be determined for these data.

Question 18

For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?

Accepted Answer

A) 30 
B) greater than 30 
C) less than 30 
D) cannot be determined from the information given 
A) 30 
B) greater than 30 
C) less than 30 
D) cannot be determined from the information given

Question 19

A set of N = 10 scores has a mean of µ = 50.If 20 points are added to one of the scores, what is the new value for the population mean?

Accepted Answer

A) 50 
B) 51 
C) 52 
D) 70 
A) 50 
B) 51 
C) 52 
D) 70

Question 20

A sample of n = 4 scores has a mean of M = 8.If one new score with a value of X = 3 is added to the sample, what will be the value for the new mean?

Accepted Answer

A) M = 7 
B) M = 8 
C) M = 8.75 
D) cannot be determined with the information provided 
A) M = 7 
B) M = 8 
C) M = 8.75 
D) cannot be determined with the information provided

For a negatively skewed distribution, the mean usually has a larger value than either the median or the mode.

A distribution of scores has a mean of 50, a median of 53, and a mode of 56.Based on this information it appears that the distribution is negatively skewed.

What is the median for the population of scores shown in the frequency distribution table? X f 5 1 4 2 3 3 2 4 1 2

Which of the following statements cannot be true for a distribution of scores?

What is the mean for the following sample of scores? Scores: 1, 4, 5, 10

The mean is considered to be the "balance point" for a distribution because exactly half of the scores are located above the mean and exactly half are below the mean.

For a distribution with one or two extreme scores, the median is usually a more representative value than the mean.

A student takes a 10-point quiz each week in statistics class.If the student's quiz scores for the first three weeks are 2, 6, and 10, then the mean score is M = 9.

A population has a mean of µ = 30.If 3 points are added to each score, what is the mean for the new distribution?

It is impossible for the value of the mode to be greater than the value of the mean.

A distribution is positively skewed.Which is the most probable order, from smallest to largest, for the three measures of central tendency?

Adding a new score to a distribution will always change the value of the mean.

For a severely skewed distribution, the median often provides a better measure of central tendency than the mean.

A researcher measures eye color for a sample of n = 50 people.Which measure of central tendency would be appropriate to summarize the measurements?

A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and M = 60.If the two samples are combined, the combined sample mean will be greater than 55.

What is the mode for the population of scores shown in the frequency distribution table? 5 1 4 2 3 3 2 4 1 2

A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students.However, one of the participants fails to solve the problems so the researcher has an undetermined score.What is the best measure of central tendency for these data?

For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?

A set of N = 10 scores has a mean of µ = 50.If 20 points are added to one of the scores, what is the new value for the population mean?

A sample of n = 4 scores has a mean of M = 8.If one new score with a value of X = 3 is added to the sample, what will be the value for the new mean?

Introduction to Statistics

Frequency Distributions

Variability

Z-Scores

Probability

The Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

Exam 3: Central Tendency

For a negatively skewed distribution, the mean usually has a larger value than either the median or the mode.

A distribution of scores has a mean of 50, a median of 53, and a mode of 56.Based on this information it appears that the distribution is negatively skewed.

What is the median for the population of scores shown in the frequency distribution table? X f 5 1 4 2 3 3 2 4 1 2

Which of the following statements cannot be true for a distribution of scores?

What is the mean for the following sample of scores? Scores: 1, 4, 5, 10

The mean is considered to be the "balance point" for a distribution because exactly half of the scores are located above the mean and exactly half are below the mean.

For a distribution with one or two extreme scores, the median is usually a more representative value than the mean.

A student takes a 10-point quiz each week in statistics class.If the student's quiz scores for the first three weeks are 2, 6, and 10, then the mean score is M = 9.

A population has a mean of µ = 30.If 3 points are added to each score, what is the mean for the new distribution?

It is impossible for the value of the mode to be greater than the value of the mean.

A distribution is positively skewed.Which is the most probable order, from smallest to largest, for the three measures of central tendency?

Adding a new score to a distribution will always change the value of the mean.

For a severely skewed distribution, the median often provides a better measure of central tendency than the mean.

A researcher measures eye color for a sample of n = 50 people.Which measure of central tendency would be appropriate to summarize the measurements?

A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and M = 60.If the two samples are combined, the combined sample mean will be greater than 55.

What is the mode for the population of scores shown in the frequency distribution table? 5 1 4 2 3 3 2 4 1 2

A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students.However, one of the participants fails to solve the problems so the researcher has an undetermined score.What is the best measure of central tendency for these data?

For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?

A set of N = 10 scores has a mean of µ = 50.If 20 points are added to one of the scores, what is the new value for the population mean?

A sample of n = 4 scores has a mean of M = 8.If one new score with a value of X = 3 is added to the sample, what will be the value for the new mean?

Introduction to Statistics

Frequency Distributions

Variability

Z-Scores

Probability

The Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters