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Solution: Estimating Standard Deviation with the Range Rule
Chapter 3, Problem 31BSC(choose chapter or problem)
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
Questions & Answers
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