Chapter 4, Problem 14P

### Essentials of Statistics for the B...

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

Chapter
Section

### Essentials of Statistics for the B...

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

# a. After 3 points have heen aikicd to every score in a sampe, the mean is found to be M = 83 and the standard deviation is s = 8. What were the values for the mean and standard deviation for the Original sample?b. After every score in a sample has been multiplied by 4, the mean is found to be M = 48 and the standard deviation is s = 12. What were the values for the mean and standard deviation for the originai sample?

a.

To determine

To find: The values for the mean and standard deviation for the sample scores, before adding 3 points to each of the sample scores.

Explanation

Given info:

The data represents the mean and standard deviation for the sample of after adding 3 points to each of the sample score, .the sample has mean and sample standard deviation are 83 and 8.

Calculation:

New mean:

If n points subtracted to every score in sample, the value of mean is,

x¯=Mn

The mean for the original sample of scores is,

x¯=833</

b.

To determine

To Find: The values for the mean and standard deviation for the sample scores, before multiplied 4 points to each of the sample score is

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