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Estimating Standard Deviation with the Range Rule of
Chapter 3, Problem 29BSC(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 25
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 25
ANSWER:Solution 29BSC
From the given information, the magnitudes (Richter scale) of the earthquakes are
From the given information, maximum data value is 2.95 and minimum data value is 0.00 in the given data set. We know that range of the given set of sample values found as follows:
Therefore, the range of the given set of observations is 2.95.
We know that the range rule of thumb for estimation of standard deviation
