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SOC A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice). a. Compute the median and mean scores for these data. 10 43 30 30 45 40 12 40 42 35 45 25 10 33 50 42 32 38 11 47 22 26 37 38 10 b. These same 25 students completed the same survey during their senior year. Compute the median and mean for this second set of scores, and compare them to the earlier set. What happened? 10 45 35 27 50 35 10 50 40 30 40 10 10 37 10 40 15 30 20 43 23 25 30 40 10

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Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 3, Problem 3.13P
Textbook Problem
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SOC A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice).

a. Compute the median and mean scores for these data.

10 43 30 30 45
40 12 40 42 35
45 25 10 33 50
42 32 38 11 47
22 26 37 38 10

b. These same 25 students completed the same survey during their senior year. Compute the median and mean for this second set of scores, and compare them to the earlier set. What happened?

10 45 35 27 50
35 10 50 40 30
40 10 10 37 10
40 15 30 20 43
23 25 30 40 10

Expert Solution
To determine

a.

To Compute:

The mean and median of the scores

Explanation of Solution

The given scores are::

10 43 30 30 45
40 12 40 42 35
45 25 10 33 50
42 32 38 11 47
22 26 37 38 10

Formula used:

Let the data values be Xi’s.

The formula to calculate median for odd number of terms is given by,

Median=(Number of terms+1)2

The formula to calculate mean is given by,

X¯=i=1NXiN

Calculation:

Arrange the data in the increasing order.

The data in increasing order is given by,

10 10 10 11 12
22 25 26 30 30
32 33 35 37 38
38 40 40 42 42
43 45 45 47 50

The number of terms is 25, which is odd.

The median for the odd number of terms is given by,

Median=(Number of terms+1)2

Substitute 25 for number of terms in the above mentioned formula,

Expert Solution
To determine

b.

To Compute:

The mean and median of the scores during their senior year.

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