Deck 6: Statistical Concepts: Making Meaning Out of Raw Scores

Question 1

The results of a norm group comparison test can do all of the following EXCEPT:

A) tell you the relative position, within the norm group, of a person's score.
B) allow you to compare the results of test takers who took the same test but are in different norm groups.
C) allow you to compare the results of the test to other norm-referenced tests taken by the same individuals.
D) allow you to assess whether or not a particular individual has improved in a specific area being tested using only the results of the one test.

Answer 1

allow you to assess whether or not a particular individual has improved in a specific area being tested using only the results of the one test.

Question 2

What is the interquartile range of the following groups of scores?

A) 6.5 - 9.5
B) 7.0 - 10.0
C) 7.5 - 10.5
D) 8.0 - 10.5
E) 1.5 - 3.0

Answer 2

7.0 - 10.0

Question 3

Which of the following is the best method for determining the percentile rank regarding a group of scores?

A) Frequency distribution
B) Histogram
C) Frequency polygon
D) Cumulative distribution (ogive curve)

Answer 3

Cumulative distribution (ogive curve)

Question 4

On a positively skewed curve, which is true?

A) The mode is lower than the mean, which is lower than the median.
B) The median is lower than the mode, which is lower than the mean.
C) The mean is lower than the median, which is lower than the mode.
D) The mode is lower than the median, which is lower than the mean.
E) The mean, median, and mode is the same.

Question 5

On a negatively skewed curve, which of the following is true?

A) The mean is lower than the mode, which is lower than the median.
B) The mean is lower than the median, which is lower than the mode.
C) The mode is lower than the mean, which is lower than the median.
D) The median is lower than the mode, which is lower than the mean.
E) The mean, median, and mode is the same.

Question 6

What is the mode of the following groups of scores: 4, 7, 8, 8, 9, 10, 12, and 14?

A) 8
B) 8.5
C) 9
D) 9.5
E) None of these

Question 7

If Juan has scored a 53 on a test, what can we say about how he has done?

A) Probably very little, because we don't know his relative position in his norm group.
B) Probably very little, because we don't know the range of scores.
C) Probably very little, because we don't know the measures of variability.
D) He likely has done poorly.
E) All but one of these.

Question 8

On a normally distributed curve, which is true?

A) The mode is lower than the mean, which is lower than the median.
B) The median is lower than the mode, which is lower than the mean.
C) The mean is lower than the median, which is lower than the mode.
D) The mode is lower than the median, which is lower than the mean.
E) The mean, median, and mode are the same.

Question 9

On negatively skewed curves, the mean is lower than the median, which is lower than the mode.

Question 10

Approximately 2 percent of people do lower than 3 standard deviations below the mean.

Question 11

What is the median of the following groups of scores: 4, 7, 8, 8, 9, 10, 12, and 14?

A) 8
B) 8.5
C) 9
D) 9.5
E) None of these

Question 12

What is the range of the following groups of scores: 4, 7, 8, 8, 9, 10, 12, and 14?

A) 8
B) 8.5
C) 9
D) 10
E) 11

Question 13

Histograms and frequency polygons are visual representations of frequency distributions.

Question 14

What is the standard deviation of the following groups of scores?

A) 2.87
B) 3.0
C) 5.66
D) 10.58
E) None of these

Question 15

Approximately 84 percent of people do higher than 1 standard deviation below the mean.

Question 16

Jerome has scored a 10 on a test. How has he done?

A) On some tests, this might be indicative of a very good score.
B) On some tests, this might be indicative of a very poor score.
C) On some tests, this might be indicative of a moderate score.
D) We should ask Jerome how he thinks he has done. His thoughts about his score are part of what determines how he has done.
E) All of these.

Question 17

A histogram is the preferred method over the cumulative distribution for conveying information about the percentile rank.

Question 18

If an individual takes a test, and if you know an individual's raw score, the mean of the group of individuals who took the test, and the standard deviation of the group, you can tell the relative position of the individual within his or her group.

Question 19

Measures of central tendency tell you something about the middle of a series of numbers but hardly anything about the variability of a set of numbers.

Question 20

What is the mean of the following group of scores: 4, 7, 8, 8, 9, 10, 12, and 14?

A) 8
B) 8.5
C) 9
D) 9.5
E) None of these

Question 21

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the mode.

Question 22

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Draw a frequency distribution.

Question 23

Using the information in Exhibit 6-2, if you want to end up with six bars on your histogram, how many numbers should be in each interval?

Question 24

Exhibit 6-1

Refer to Exhibit 6-1. Create a frequency distribution from the set of scores.

Question 25

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the range.

Question 26

Exhibit 6-1

Using the numbers in Exhibit 6-1, draw a frequency distribution using class intervals of 3.

Question 27

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the mean.

Question 28

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the range.

Question 29

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the median.

Question 30

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the standard deviation.

Question 31

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the standard deviation.

Question 32

Exhibit 6-1

Using the numbers in Exhibit 6-1, draw a frequency polygon using class intervals of 3.

Question 33

Exhibit 6-1

Using the numbers in Exhibit 6-1, if you want to end up with four bars on your histogram, how many numbers should be in each interval?

Question 34

On all normally distributed curves, the mean, median, and mode are the same.

Question 35

A group of graduate students studying psychology take a national comprehensive exam. On the test, their mean score is about 0.5 standard deviation above the mean as compared to the national score. The variability of their scores is less than the national mean. If passing is 1 standard deviation below the mean, it is likely that many have failed.

Question 36

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the mode.

Question 37

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the interquartile range.

Question 38

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the median.

Question 39

Exhibit 6-2
In order to evaluate a graduate program in counseling, a decision is made to compare the scores of the recent graduates on the National Counseling Exam (NCC) to the national norms. Therefore, the program decides to compare its current graduates with the all graduates nationally who took the exam. Their scores of the current graduates are as follows:

Refer to Exhibit 6-2. Find the interquartile range.

Question 40

Exhibit 6-1

Using the numbers in Exhibit 6-1, determine the mean.

Question 41

Use the data from Exhibit 6-2. If the national mean is 25, and the standard deviation is 8, who has done better: the graduate program or the national group?