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# Statistics questions: Mean, median, standard deviation of a frequency distribution, skewness of the data

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1. Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22.

a. Compute the mean number and median number of apples in a bag.

2. Determine the mean and the standard deviation 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

Listed below are the commissions earned (\$000) last year by the sales representatives at the Furniture Patch, Inc.

\$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 standard deviation.
b. Compute the coefficient of skewness using Pearson's method.
c. Calculate the coefficient of skewness using the software method.
d. What is your conclusion regarding the skewness of the data?

1. A representative of the Environmental Protection Agency (EPA) wants to select samples from 10 landfills. The director has 15 landfills from which she can collect samples. How many different samples are possible?