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# Convert the following absolute uncertainties to relative

ISBN: 9780073401331 38

## Solution for problem 11E Chapter 3.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

Convert the following absolute uncertainties to relative uncertainties.

a. 20.9 ± 0.4

b. 15.1 ± 0.8

c. 388 ± 23

d. 2.465 ± 0.009

Step-by-Step Solution:

Step 1 of 5:

Here we have to convert the given absolute uncertainties to relative uncertainties.

The absolute uncertainty is denoted by ‘’ and the relative uncertainty is denoted by ‘’.

Step 2 of 5:

(a)

Here we have to convert the given absolute uncertainty into relative uncertainty.

Given 20.90.4.

Here the absolute uncertainty is 0.4.

The relative uncertainty of 0.4 is given by,

= *100

=0.01914*100

=1.9138%

Thus,the relative uncertainty of 0.4 is 1.9138%.

Step 3 of 5:

(b)

We have to find the relative uncertainty to the given absolute uncertainty 15.10.8.

Here the absolute uncertainty is 0.8.

We have to find its relative uncertainty.

It is given by,

*100

=0.05298*100

=5.2980%

Thus the relative uncertainty of 0.8 is 5.2980%.

Step 4 of 5

Step 5 of 5

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