# Statistics - Standard Deviation

1) The American Automobile Association checks prices of gasoline before many holiday weekends. Listed below are the self-service prices for a sample of 15 retail outlets during Labor Day weekend of 2007 in the Detroit, Michigan area.

3.44 3.42 3.35 3.39 3.49 3.49 3.41 3.46

3.41 3.49 3.45 3.48 3.39 3.46 3.44

a. What is the arithmetic mean selling price?

b. What is the median selling price?

c. What is the modal selling price?

2) The age of a sample of Canadian tourists flying from Toronto to Hong Kong were: 32, 21, 60, 47, 54, 17, 72, 55, 33, and 41.

a. Compute the range.

The American Automobile Association checks prices of gasoline before many holiday weekends. Listed below are the self-service prices for a sample of 15 retail outlets during Labor Day weekend of 2007 in the Detroit, Michigan area.

3.44 3.42 3.35 3.39 3.49 3.49 3.41 3.46

3.41 3.49 3.45 3.48 3.39 3.46 3.44

a. What is the arithmetic mean selling price?

b. What is the median selling price?

c. What is the modal selling price?

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The age of a sample of Canadian tourists flying from Toronto to Hong Kong were: 32, 21, 60, 47, 54, 17, 72, 55, 33, and 41.

a. Compute the range.

b. Compute the mean deviation.

c. Compute the standard deviation.

3) The Apollo space program lasted from 1967 until 1972 and included 13 missions. The missions lasted from as little as 7 hours to as long as 301 hours. The duration of each flight is listed below.

9 195 241 301 216 260 7 244 192 147

10 295 142

a. Explain why the flight times are a population.

b. Find the mean and median of the flight times.

c. Find the range and the standard deviation of the flight times.

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#### Solution Preview

1) Mean Selling price $ 3.438

Median Selling price $ 3.44

Modal Selling Price $ 3.49

2) Count N 10

Maximum 72

Minimum 17

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#### Solution Summary

This step-by-step solution explains how to calculate the mean, median and standard deviation.