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Solution: Estimating Standard Deviation with the Range Rule

Chapter 3, Problem 31BSC

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QUESTION:

Estimating Standard Deviation with the Range Rule of Thumb. In Exercises 29–32, refer to the data in the indicated exercise. After finding the range of the data, use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the standard deviation computed with all of the data.

Exercise 27

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QUESTION:

Estimating Standard Deviation with the Range Rule of Thumb. In Exercises 29–32, refer to the data in the indicated exercise. After finding the range of the data, use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the standard deviation computed with all of the data.

Exercise 27

ANSWER:

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

Range=Largest value-Smallest value              

          =36-0

          =36

Standard deviation with range rule of thumb=Range/4

                                                                =36/4

                                                                =9

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