Question 1: The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 50 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study.
Estimate the mean and the standard deviation.
Number of Clients Frequency
20 up to 30 1
30 up to 40 15
40 up to 50 22
50 up to 60 8
60 up to 70 4
Question 2: 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.
b. Verify that (X-X)= 0.
Question 3: The American Automobile Association checks the prices of gasoline before many holiday weekends. Listed below are the self-service prices for a sample of 15 retail outlets during the May 2003 Memorial Day weekend in the Detroit, Michigan, area.
1.44 1.42 1.35 1.39 1.49 1.49 1.41 1.46
1.41 1.49 1.45 1.48 1.39 1.46 1.44
a. What is the arithmetic mean selling price?
b. What is the median selling price?
c. What is the modal selling price?
Question 3: The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10
a. Compute the range.
b. Compute the mean deviation.
c. Compute the standard deviation.