# mean and the standard deviation

The following dtables provide information about the top women-owned businesses in the U.S. The first table gives year 2000 revenue in millions of dollars and number of employees for Pennsylvania women-owned companies with year 2000 revenues of $70 million or higher. The second table gibes the same information for Michigan women-owned companies with year 2000 revenues of $70 million or higher.

Pennsylvania compa 2000 revenue ($ million) number of employees

84 lumber 2000 4400

Charming shoppes 1600 12000

Rodale 500 1300

Mothers work 366.3 3800

Harmelin media 200 105

Wetherill associates 135 500

Hanna holdings 73.7 1284

Michigan companies 2000 revenue ($million) number of employees

Ilitch holdings 800 700

Plastech engineer 420 3500

Jerome-duncan ford 350 300

Elder ford 287.6 108

Patsy Lou 221 240

Mexican ind 174 1463

Rush trucking 153 2000

jaguar-saab 143 134

manpower metro 118 250

continental plastic 107 650

leco 82 800

rodgers chevrolet 75 80

strategic staffing 75 600

two men & a truck 75 40

systrand manu 72 230

question a. use a calculator or computer to compute the mean and standard deviation of the year 2000 revenue for the Pennsylvania companies in the first table.

question b. use a calculation or computer to compute the mean and standard deviation of the year 2000 revenue for the Michigan companies in the second table.

question c. explain what the values you calculatwd in parts a and b of this exploration tell you about the data sets.

question d. how would the mean and standard deviation change if the largest data value in each set were removed?

question e. find the mean and the standard deviation of the number of employees for the Pennsylvania companies in the first table.

question f. find the mean and the standard deviation of the number of employees for the Michigan companies in the second table and compare to your results in part e of the exploration.

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#### Solution Summary

This solution finds the mean and the standard deviation of the number.