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# Mean, Range, Standard Deviation, Variance and Skewness Problem Set

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30. Determine the estimated mean of the following frequency distribution.
Class Frequency
0 up to 5 2
5 up to 10 7
10 up to 15 12
15 up to 20 6
20 up to 25 3

93. Each person who applies for an assembly job at Carolina Furniture, Inc. is given a mechanical aptitude test. One part of the test involves assembling a dresser based on numbered instructions. A sample of the lengths of time it took 42 persons to assemble the dresser was organized into the following frequency distribution.
Length of Time
(minutes) Frequency
2 up to 4 4
4 up to 6 8
6 up to 8 14
8 up to 10 9
10 up to 12 5
12 up to 14 2

Compute the range, the standard deviation, and the variance.

105. Listed below are the commissions earned (\$000) last year by the sales representatives at the Furniture Patch.
\$ 3.9 \$ 5.7 \$ 7.3 \$10.6 \$13.0 \$13.6 \$15.1 \$15.8 \$17.1 17.4 17.6 22.3 38.6 43.2 87.7

a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson's method.
c. Determine the coefficient of skewness using the software method.

254. A telephone number consists of seven digits, the first three representing the exchange. How many different telephone numbers are possible within the 537 exchange?