A Skewed Distribution To illustrate the utilityof the Empirical Rule, consider a
Chapter 2, Problem 39(choose chapter or problem)
A Skewed Distribution To illustrate the utilityof the Empirical Rule, consider a distribution that isheavily skewed to the right, as shown in the accompanyingfigure.a. Calculate x and s for the data shown. (NOTE: Thereare 10 zeros, 5 ones, and so on.)b. Construct the intervals x s, x 2s, and x 3sand locate them on the frequency distribution.c. Calculate the proportion of the n 25measurements that fall into each of the threeintervals. Compare with Tchebysheffs Theoremand the Empirical Rule. Note that, although theproportion that falls into the interval x s does notagree closely with the Empirical Rule, theproportions that fall into the intervals x 2s and x 3s agree very well. Many times this is true, evenfor non-mound-shaped distributions of data.Distribution for Exercise 2.39
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