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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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There are 15 numbers on a list, and the mean is 25. The

Chapter 1, Problem 7SE

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QUESTION:

There are 15 numbers on a list, and the mean is 25. The smallest number on the list is changed from 12.9 to 1.29.

a. Is it possible to determine by how much the mean changes? If so, by how much does it change?

b. Is it possible to determine the value of the mean after the change? If so, what is the value?

c. Is it possible to determine by how much the median changes? If so, by how much does it change?

d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

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QUESTION:

There are 15 numbers on a list, and the mean is 25. The smallest number on the list is changed from 12.9 to 1.29.

a. Is it possible to determine by how much the mean changes? If so, by how much does it change?

b. Is it possible to determine the value of the mean after the change? If so, what is the value?

c. Is it possible to determine by how much the median changes? If so, by how much does it change?

d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

ANSWER:

Answer :

Step 1 of 4 :

Given,

We have the list of 15 members, mean is 25. The smallest number on the list is changed from 12.9 to 1.29.

  1. The claim is to find how much the mean is changing

It is possible to determine the how much mean changes.

  Mean after the change =

                                      =  +

                                     =    - 0.774

The mean value is negative.

The mean decreases by 0.774.

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