Question 3.184

71. Empirical Rule: October in Santa Monica. The National Climate Data Center reports that the mean October temperature in Santa Monica, California, is 63 degrees Fahrenheit, with a standard deviation of 3 degrees. Suppose the data distribution is bell-shaped. If possible, estimate the percentage of October days with temperatures within the following ranges. If not possible, explain why.

  1. Between 60 and 66 degrees
  2. Between 57 and 69 degrees
  3. Between 55 and 71 degrees

3.2.71

(a) About 68% (b) About 95% (c) Can't do, the Empirical Rule does not say what percent of the data values lie within 2.67 standard deviations of the mean.