Use the Empirical Rule to Describe Data That Are Bell Shaped
-A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately bell shaped, with a mean of 91 jobs and a standard deviation of 12 . Where do we expect most (approximately $95 \%$ ) of the distribution to fall?
A) between 67 and 115 jobs per day
B) between 79 and 103 jobs per day
C) between 55 and 127 jobs per day
D) between 67 and 127 jobs per day

Question

Quizplus · Accepted Answer

The Empirical Rule states that for a bell-shaped distribution, approximately 95% of the data falls within 2 standard deviations of the mean. Here, 2 standard deviations is $2 \times 12 = 24$, so we expect 95% of the data to fall between $91 - 24 = 67$ and $91 + 24 = 115$.

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