Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric.
-Between what two values would you expect to find about 68% of the lead actresses ages?
A)10.55 and 48.65 years
B)23.25 and 35.95 years
C)16.9 and 42.3 years
D)None of these

Question

Quizplus · Accepted Answer

The empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean. In this case, the mean is 29.6 years and the standard deviation is 6.35 years. So, we would expect to find about 68% of the lead actresses ages between 29.6 - 6.35 = 23.25 years and 29.6 + 6.35 = 35.95 years.

Use the Following Information to Answer the Question