The data for the following exercise consist of a random sample of 40 companies that were part of the S&P 500 and information was current as of May 24, 2013. For each variable,

(a) group the data as indicated;

(b) prepare a frequency distribution with columns for intervals and frequencies;

(c) construct a histogram.

The variable is earnings per share. Use 6 intervals, starting with -5.00 to -.01, 0 to 4.99, etc.

3.72	1.12	1.43	23.48	8.48	1.3	0.87	13.32	5.47
1.22	1.64	0.65	4.57	2.55	0.98	0.89	-0.24	2.94	0.35
2.54	3.44	3.04	4.99	0.29	2.81	1.58	6.06	3.15	2.67
3.48	1.58	5.66	3.16	3.75	-0.41	6.58	2.52	5.06	0.97

Work the following problem.

The revenue (in millions of dollars) for the Starbucks Corporation for the years 2003-2012 is given in the table.

(a) Calculate the mean and median for these data.

(b) What year's revenue is closest to the mean?

For the 20 states that produce a large number of broiler chickens, the following stem-and-leaf plot gives the production in billions of pounds for the year 2011.

Units: 7|4 = 7.4 billion pounds

(a) Describe the shape of the distribution.

(b) How many states had production below 1 billion pounds?

(c) How many states had production above 2 billion pounds?

For the following exercise, see the example mentioned.

A sample of 40 households from the American Housing Survey generates the following frequency table of household income (in thousands). Find the standard deviation.

The percentage of mortgage loan applications that were denied in the year 2010 is summarized by state in the following stem-and-leaf plot.

Units: 3|2 = 32%

(a) Describe the shape of the distribution.

(b) How many states have a denial percentage higher than 25%?

(c) How many states have a denial percentage below 20%?

What is meant by a skewed distribution?

For the following exercise use the following table, which gives the total amounts of sales (in millions of dollars) for aerobic, basketball, cross-training, and walking shoes in the United States for the years 2005-2011. (Hint: Use a mean value calculated to at least 4 decimal places when calculating the standard deviation.)

Find the mean and standard deviation for the type of shoe listed.

Which type of shoe shows greater variation: basketball or walking?

Work the following problem.

The number of recognized blood types varies by species, as indicated in the following table.

Find the mean, median, and mode of this data.

Work the following problem.

The 12 movies that have earned the most revenue (in millions of dollars) from U.S. domestic box-office receipts are given in the table.

(a) Find the mean value in dollars for this group of movies.

(b) Find the median value in dollars for this group of movies.

The stem-and-leaf plot below summarizes the total deposits (in hundreds of millions of dollars) for the savings institutions in the state of Maryland in 2012.

Units: 6|5 = $65 hundred million ($6.5 billion)

(a) Describe the shape of the distribution.

(b) How many savings institutions had total deposits below $100 million?

(c) How many savings institutions had total deposits above$400 million?

Describe the characteristics of a normal distribution.

For the following exercise use the following table, which gives the total amounts of sales (in millions of dollars) for aerobic, basketball, cross-training, and walking shoes in the United States for the years 2005-2011. (Hint: Use a mean value calculated to at least 4 decimal places when calculating the standard deviation.)

Find the mean and standard deviation for the type of shoe listed.

Which type of shoe shows greater variation: aerobic or cross training?

Work the following problem.

The following table gives the value (in millions of dollars) of the 10 most valued National Football League teams, as estimated by Forbes in 2012.

Find the following statistics for these data:

(a) mean;

(b) median.

For the following exercise use the following table, which gives the total amounts of sales (in millions of dollars) for aerobic, basketball, cross-training, and walking shoes in the United States for the years 2005-2011. (Hint: Use a mean value calculated to at least 4 decimal places when calculating the standard deviation.)

Find the mean and standard deviation for the type of shoe listed.

Walking shoes