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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

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,

M=xin

The formula of Standard Deviation is

SD=(xiM)2n1

Sample Mean:

The mean of scores is,

M=xin=8+1+5+1+55=205=4

Standard Deviation:

The standard deviation of the scores is:

SD=

b.

To determine

To find: The new mean and standard deviation when X=8 is changed by X=18.

(c)

To determine

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

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