# REFER TO THE BASEBALL DATA. CONSIDER THE FOLLOWING VARIABLES

August 30, 2017

Question
1. REFER TO THE BASEBALL DATA. CONSIDER THE FOLLOWING VARIABLES:

a. Number of wins

b. Payroll

c. Season attendance

d. Whether the team is in the American or National League

e. The number of home runs hit

1.1.) Which of these variables are quantitative and which are qualitative?

1.2.) Determine the level of measurement (nominal, ordinal, interval, or ratio) for each of these variables.

2. Refer to the baseball data that reports information on the 30 Major League Baseball teams for the 2010 season. Create a frequency distribution for the team payroll variable and answer the following questions.

a. What is the average payroll for the team? What is the range (minimum and maximum) of the payroll?

b. Comment on the skewed shape of the distribution. Does it appear that any of the teams have a payroll that is out of line with the others?

c. Create a cumulative frequency distribution table. Thirty percent of the teams have a payroll of less than what amount? About how many teams have total payroll of less than \$100,000,000?

3. Find the mean and standard deviation of team payroll for the 14 American League and the 16 National League teams. Does there appear to be a difference in the means? Is there a difference in the dispersion for team payroll between the two leagues?

4. Draw a scatter diagram with the variable Wins on the vertical axis and Payroll on the horizontal axis. What are your conclusions?

5. Using the variable Wins, draw a dot plot. What can you conclude from this plot.

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