2.39 A Skewed Distribution To illustrate the utility of the Empirical Rule, consider a distribution that is heavily skewed to the right, as shown in the accompanying figure.

a. Calculate and s for the data shown. (NOTE: There are 10 zeros, 5 ones, and so on.)

b. Construct the intervals s, 2s, and 3s and locate them on the frequency distribution.

c. Calculate the proportion of the n = 24 measurements that fall into each of the three intervals. Compare with Tchebysheff's Theorem and the Empirical Rule. Note that, although the proportion that falls into the intervals does not agree closely with the Empirical Rule, the proportions that fall into the intervals2s and 3s agree very well. Many times this is true, even for non-mound-shaped distributions of data.

Transcribed Image Text:

Frequency Distribution for Exercise 2.39 10 10 -24 10