Use the following information to answer the question. The mean age of lead actors from the top ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the distribution of the actors ages is approximately unimodal and symmetric.
-In 2002, actor Adrian Brody won an academy award in for the movie "The Pianist." He was 29-years-old. Finish the statement: "According to the Empirical Rule, the ages of nearly all lead Actors will be between and years. Adrien Brody was this Range when she won the academy award."
A) 26.5; 46.3; not within
B) 6.8; 66.0; not within
C) 6.8; 66.0; within
D) 16.7; 56.1; within

Question

Quizplus · Accepted Answer

According to the Empirical Rule, nearly all data within a normal distribution falls within three standard deviations of the mean. Therefore, the range is 36.4 ± (3 * 9.87), which is approximately 6.8 to 66.0. Adrien Brody, at 29 years old, falls within this range.

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