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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Within a population, the difference that exist from one person to another are often called diversity. Researchers comparing cognitive skills for younger adults and older adults, typically find greater difference (greater diversity) in the older population (Morse. 1993). Following are typical data showing problem-Solving scores for two groups of participants.

Older Adults (average age 72) Younger Adults (average age 31)
9 4 7 3 8 7 9 6 7 8
6 2 8 5 4 6 7 6 6 8
7 5 2 6 6 9 7 8 6 9
  1. a. Compute the mean, the variance, and the standard deviation for each group.
  2. b. Is one group or scores noticeably more variable (more diverse) than the other?

(a)

To determine

To find: The mean and standard deviation for each group.

Explanation

Given info:

The table represents the scores of older adults and younger adults,

Older adults Younger adults
9 7
4 9
7 6
3 7
8 8
6 6
2 7
8 6
4 6
5 8
7 9
5 7
2 8
6 6
6 9

Calculation:

The general formula for calculating the mean is,

M=xin

For older adults:

The mean for older adults is,

M=xin=9+4+...+6+615=5.47

Thus, the mean for older adults is 5.47.

For younger adults:

The mean for younger adults is,

M=xin=7+9+...+6+915=7.27

Thus, the mean for older adults is 5.47

(b)

To determine

To find: The group of scores noticeably more variable than the other.

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