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.

Earthquakes Use the magnitudes (Richter scale) of the earthquakes listed in Data Set 16.

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 as follows:

Therefore, the estimated standard deviation for the given data by using the range rule of thumb is 0.74.

From the given information, ....