AP Statistics
Evaluating Data
Name:_____________________________
1. Find the mean, median, mode, and range of each data set.
a. {10, 54, 72, 43, 25, 29, 36, 10, 68}
b. {16, 11, 31, 19, 12, 17, 13, 14}
c. {12, 26, 21, 36, 25, 20, 21}
d. {25, 25, 30, 30, 35, 35}
2. Find the mean, median, and mode of each plot.
a.
b.
3. Here are the annual numbers of deaths from tornadoes in the US from 1990 to 2000. (Source: NOAA)
53
39
39
33
69
30
25
67
130
94
40
a. Find the mean, median, quartiles, range and IQR by hand.
4. A small warehouse employs a supervisor at $1200 a week, an inventory manager at $700 a week, six
stock boys at $400 a week, and four drivers at $500 a week.
a. Find the mean and median wage.
b. How many employees make more than the mean wage?
c. Which measure of center best describes a typical wage at his company, the mean or median, and
why?
5. Create a data set that fits each description.
a. The median age of Shauna and her six siblings is 14. The range of their ages is 12 years and the
mode is 10.
b. Jorge took six math tests during the current marking period. His mean mark is 83 and his median
mark is 85.
c. Laurel took a survey of the number of coins eight students had in their pockets. The minimum
was 7, the mode was 11, the median was 10, and the range was 9.
AP Statistics
Evaluating Data
Name:_____________________________
6. This bar graph shows the approximate land area of the seven
continents.
a. Find the approximate mean and median of this data set.
b. What is the approximate range of this data set?
7. Joey’s first 14 quiz grades in the first 9 weeks were:
86
87
84
91
75
78
80
74
76
96
82
90
98
93
a. Find the mean, median and mode of the data.
b. Suppose that Joey has an unexcused absence for the 15th quiz, and receives a 0. Determine his
final quiz average. What property of the mean does this situation illustrate? Write a sentence
about the effect of the zero on Joey’s quiz average.
c. What kind of plot would best who Joey’s distribution or grades? Assume an 8 pt. grading scale
(A: 93-100, B: 85-92, etc.). Make an appropriate plot, and be prepared to justify your answer.
8. Suppose a major leagues baseball team’s mean yearly salary for a player is $1.2 million, and that the
team has 25 players on its active roster. What is the team’s annual payroll for the players? If you knew
only the median salary, would you be able to answer the question? Why or why not?
9. Does the following data set have any outliers?
10.2, 14.1, 14.4. 14.4, 14.4, 14.5, 14.5, 14.6, 14.7, 14.7, 14.7, 14.9, 15.1, 15.9, 16.4
10. For the following data set, provide the 5-number summary as well as the IQR..
A year ago, Angela began working at a computer store. Her supervisor asked her to keep a
record of the number of sales she made each month. The following data set is a list of her sales
for the last 12 months:
34, 47, 1, 15, 57, 24, 20, 11, 19, 50, 28, 37.