Question

The 2011 roster of the Dallas Cowboys professional football team included 7 defensive linemen. Their weights (in pounds) were 321, 285, 300, 285, 286, 293, and 298. Calculate the mean. Show your work.

Solution

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Given data values:

321,285,300,285,286,293,298321,285,300,285,286,293,298

The mean is the sum of all values divided by the number of values:

x=321+285+300+285+286+293+2987=20687295.4286\overline{x}=\dfrac{321+285+300+285+286+293+298}{7}=\dfrac{2068}{7}\approx 295.4286

Thus the mean weight of the defensive linemen of the Dallas Cowboys professional football team is 295.4286 pounds.

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