# Question

Each year, NCAA college football fans like to learn about the size of the players in the current year’s recruit class. Following are the weights (in pounds) of the nation’s top 100 high school football players for 2009.

a. Construct a histogram and one other graph of your choice that displays the distribution of weights.

b. Calculate the mean and standard deviation.

c. Sort the data into a ranked list.

d. Determine the values of , , and , and determine the percentage of data within 1, 2, and 3 standard deviations of the mean.

e. Do the percentages found in part d agree with the empirical rule? What does this imply?

Explain.

f. Do the percentages found in part d agree with Chebyshev’s theorem? What does that mean?

g. Do the graphs show a distribution that agrees with your answers in part e? Explain.

h. Utilize one of the “testing for normality” Technology Instructions on pages 97–98. Compare the results with your answer to part e.

a. Construct a histogram and one other graph of your choice that displays the distribution of weights.

b. Calculate the mean and standard deviation.

c. Sort the data into a ranked list.

d. Determine the values of , , and , and determine the percentage of data within 1, 2, and 3 standard deviations of the mean.

e. Do the percentages found in part d agree with the empirical rule? What does this imply?

Explain.

f. Do the percentages found in part d agree with Chebyshev’s theorem? What does that mean?

g. Do the graphs show a distribution that agrees with your answers in part e? Explain.

h. Utilize one of the “testing for normality” Technology Instructions on pages 97–98. Compare the results with your answer to part e.

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