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

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?

Please see attached.

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#### Solution Summary

The solution calculates mean, range, standard deviation, variance and coefficient of skewness in an attached Excel or Word document.