Statistics Graphical Displays

  1. Suppose that in a class of 35 students, 10 choose basketball as their favorite sport while 7 pick baseball, 6 pick football, 5 pick tennis, 5 pick soccer, and 2 pick hockey. Display these data in a dot plot.
  1. In a survey taken during the first week of January 1999, 55% of those surveyed wanted the Clinton impeachment trial to end immediately, 15% wanted it to continue with witnesses, 25% wanted the trial to continue without witnesses, and 5% expressed no opinion. Display these data in a bar graph.
  1. Consider the following histogram displaying 40 salaries paid to the top level executives of a large company.

a)What is the range of salaries?

b)In what interval is the median?

c)How many earned between $40,000 and $70,000?

d)What percent of the executives made less than $50,000?

  1. Consider the set of percentages of three-point shots made by Michael Jordan during his 13 years with the Bulls. Create a stem-leaf plot from these data. Find the mean and median of these data.
  1. Following are SAT math scores for an AP statistics class of 20 students: 664, 658, 610, 670, 640, 643, 675, 650, 676, 575, 660, 661, 520, 667, 668, 635, 671, 673, 645, 650.

a)Create a histogram for these data. Use a bin width of 50.

b)What is the median?

c)What is the mean?

d)Describe the distribution.

  1. The monthly rainfall in Monrovia, Liberia, where May through October is the rainy season and November through April the dry season, is as follows:

Month: Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec

Rain (in) 1 2 4 6 18 37 31 16 28 24 9 4

a)What is the range?

b)What is the mean?

c)What is the median?

d)What is the IQR?

e)What is the standard deviation? Use the population standard deviation.

  1. Suppose that farm sizes in a small community have the following characteristics: the smallest value is 16.6 acres, 10% of the values are below 23.5 acres, 25% are below 41.1 acres, the median is 57.6 acres, 60% are below 87.2 acres, 75% are below 101.9 acres, 90% are below 124.0 acres, and the top value is 201.7 acres.

a)What is the range?

b)What is the IQR?

c)Should either the smallest or largest value be considered an outlier?

  1. Find the median and mean of the data represented by the dot plot.

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  1. The total farm indexes for the years 1919-45 are 215, 210, 130, 140, 150, 160, 150, 140, 150, 150, 125, 85, 70, 75, 90, 115, 120, 125, 100, 95, 100, 130, 160, 200, 200, 210, respectively. Give the 5-number summary and then create a box-plot.
  1. In the second game of the 1989 World Series between Oakland and San Francisco, ten players went hitless, eight players had one hit apiece, and one player had three hits. What were the mean and the median number of hits?