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Solution: Estimating Standard Deviation with the Range Rule

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 31BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

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:

Answer

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

Chapter 3.3, Problem 31BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solution: Estimating Standard Deviation with the Range Rule

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