Chapter 4, Problem 15P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For the following sample of *n* = 4 scores: 82, 88, 82, and 86:

**a.**Simplify the arithmetic by first subtracting 80 points from each score to obtain a new sample of 2, 8, 2, and 6. Then, compute the mean and standared deviation for the new sample.**b.**Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample?

**a.**

To determine

**To find:** The simplified mean and standard deviation for the sample scores subtracting 80 points to each of the sample scores.

Explanation

**Given info:**

The data represents the original sample scores

**Calculation:**

**New sample scores:**

The sample scores subtracting 80 points to each of the sample scores the new sample is 2, 8, 2 and 6.

The formula of mean for the sample of scores is,

The simplified mean for the new sample scores

Thus, the simplified mean is 4.5

**b.**

To determine

**To find:** The mean and standard deviation for original sample.

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