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# Solution: Estimating Standard Deviation with the Range Rule

ISBN: 9780321836960 18

## Solution for problem 31BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Problem 31BSC

Estimating Standard Deviation with the Range Rule of Thumb. In Exercises,refer to the data in the indicated exercise. After finding the range of the data, use the range ruh of thumb to estimate the value of the standard deviation. Compare the result to the standard deviation computed with all of the data.

Presidential Longevity Data Set 12 and use the numbers of years that U.S. presidents have lived after their first inauguration.

Step-by-Step Solution:

 Years(x) (x-) 10 9.3025 29 254.4025 26 167.7025 28 223.5025 15 3.8025 23 99.0025 17 15.6025 25 142.8025 0 170.3025 4 81.9025 1 145.2025 16 8.7025 12 1.1025 4 81.9025 17 15.6025 16 8.7025 0 170.3025 24 119.9025 12 1.1025 4 81.9025 18 24.5025 21 63.2025 11 4.2025 2 122.1025 9 16.4025 36 526.7025 12 1.1025 28 223.5025 16 8.7025 3 101.0025 9 16.4025 25 142.8025 0 170.3025 23 99.0025 0 170.3025 0 170.3025 0 170.3025 0 170.3025 Total=496 4003.895

Step 1 of 3</p>

Range=Largest value-Smallest value

=36-0

=36

Standard deviation with range rule of thumb=Range/4

=36/4

=9

Step 2 of 3</p>

Here no. of observations(n)=38

= =

=13.05

Variance=

=

=105.37

Step 3 of 3

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