Chapter 4, Problem 17P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For the data in the following sample:

8 1 5 1 5

**a.**Find the mean and the standard deviation.**b.**Now change the score of*X*= 8 to*X =*18, and find the new mean and standard deviation.**c.**Describe how one extreme score influences the mean and standard deviation.

**a.**

To determine

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

Explanation

**Given info:**

The sample scores are 8,1,5,1 and 5.

**Calculation:**

The formula of sample mean is,

The formula of Standard Deviation is

**Sample Mean:**

The mean of scores is,

**Standard Deviation:**

The standard deviation of the scores is:

**b.**

To determine

**To find:** The new mean and standard deviation when

**(c)**

To determine

**To describe:** The extreme score influences the mean and standard deviation.

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