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Bell Shaped Distribution

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A random sample of 40 gas stations in Baton Rouge after Hurricane Katrina resulted in a mean price of $3.02 per gallon with a standard deviation of $0.07. A histogram of the data indicated that the data followed a bell shaped distribution.

A) What percentage of the gas stations have prices that range from $2.88 to $3.16

B) What percentage of the gas stations have prices within one deviation of the mean?

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The solution gives detailed steps on determining the percentage of data using empirical rule.

Suppose the data have a bell shaped distribution with a mean of 30 and a standard deviation of 5. Use the empirical rule to determine the percentage of data within each of the following ranges: 20 to 40, 15 to 45, and 25 to 35.

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