Answer to Question #143898 in Statistics and Probability for Vladimyr Lubin

Question

(3.2.29) Use the​ F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the​ data, 1.0.

The estimated standard deviation is 0.5less/greater or within the actual standard deviation.​ Thus, the estimated standard deviation is/isnot substantially different from the actual standard deviation.

Answer 1

Standard deviation=$\frac{range}{4}$ $=\frac{4}{4}=1$

The estimated standard deviation is greater than the actual standard deviation.​ Thus, the estimated standard deviation is not substantially different from the actual standard deviation.