AP Statistics
Displaying Quantitative Data
Name:_____________________________
1. Suppose that your class scored the following grades on the first exam in this class:
75, 90, 81, 83, 62, 45, 98, 65, 77, 72, 80, 88, 76, 56, 75, 83, 67, 82, 91, 86, 84, 86, 97, 72, 71
Create a stem plot and make a conjecture about the meaning of the data. State the center, spread, and
the shape. Does an outlier exist? What does it mean?
2. This data set gives pulse rates, in beats per minute, for a group of 30 students.
72 56 88 76 80 68 80 84 64 80 72 64 68 76 72
68 60 76 68 64 80 72 76 92 68 56 72 68 60 84
Create a dotplot for this information, naming the center, shape, and spread. What does the data tell us?
3. Here are hand spans, to the nearest half-centimeter, of students in one algebra class.
19 18.5 20.5 21.5 18.5 17.5 22 22.5 19.5 20 24 18
16.5 28 19 20 20.5 24 15 17 19 18 21 21
Create a histogram for this data, name the center, spread, and shape. What does it mean?
4. This table shows the heights of the ten tallest mountains in the world.
Mountain Heights
Construct an appropriate graphical representation of this data. Interpret the data.
5. The students in one social studies class were asked how many brothers and sisters (siblings) they each
have. The dot plot here shows the results.
a. How many of the students have six siblings?
b. How many of the students have no siblings?
c. How many of the students have three or more siblings?
AP Statistics
Displaying Quantitative Data
Name:_____________________________
6. The owner of an independent record shop monitored CD sales over a
period of days. This histogram shows the results.
a. Find the total number of days included in this data set.
b. For how many days were fewer than 20 CDs sold?
c. For how many days were at least 50 but fewer than 80 CDs
sold?
d. Explain the empty 80–90 interval.
e. Construct another histogram for this data set using intervals
of 20 rather than 10.
.
7. The table shows the results of a study that found the distance
each of 191 buses traveled before its first major motor
failure.
a. Construct a histogram for this data.
b. How many buses traveled at least 100,000 miles
before major engine trouble?
c. If an engine warranty covered the cost of repair only
for less than 80,000 miles, how many of the buses
would have been repaired under the warranty?
d. Describe the distribution of this data.
8. In June 2004, 16 gas stations in Ithaca, NY, posted these
prices for a gallon of regular gasoline.
2.029
2.119
2.259
2.049
2.079
2.089
2.079
2.039
2.069
2.269
2.099
2.129
2.169
2.189
2.039
2.079
a. Make a stem-plot display of these gas prices. Use the following split stems: use 2.1 for prices
between $2.10 and $2.149, etc.
b. Describe the shape, center, and spread of this distribution.
c. What unusual feature do you see?
9. The data below gives the number of hurricanes that happened each year from 1944 through 2000 as
reported by Science magazine.
3, 2, 1, 3, 4, 3, 7, 2, 3, 3, 2, 5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 3, 1, 0, 3, 2, 1, 0, 1, 2, 3, 2, 1,
2, 2, 2, 3, 1, 1, 1, 3, 0, 1, 3, 2, 1, 2, 1, 1, 0, 5, 6, 1, 3, 5, 3
Create a dot plot, and describe the distribution.