2.1 Display Data
Stem-and-leaf plots, line and bar graphs, histograms and box plots, and choosing the display that makes a distribution's shape visible.
13 exercises
2.1 Exercise 1
For the Park City basketball team, scores for the last 30 games were as follows (smallest to largest):
32; 32; 33; 34; 38; 40; 42; 42; 43; 44; 46; 47; 47; 48; 48; 48; 49; 50; 50; 51; 52; 52; 52; 53; 54; 56; 57; 57; 60; 61
Construct a stem plot for the data.
NOTE
The data are the distances (in kilometers) from a home to local supermarkets. Create a stemplot using the data:
1.1; 1.5; 2.3; 2.5; 2.7; 3.2; 3.3; 3.3; 3.5; 3.8; 4.0; 4.2; 4.5; 4.5; 4.7; 4.8; 5.5; 5.6; 6.5; 6.7; 12.3
Do the data seem to have any concentration of values?
The leaves are to the right of the decimal.
2.1 Exercise 3
The following data show the distances (in miles) from the homes of off-campus statistics students to the college. Create a stem plot using the data and identify any outliers:
0.5; 0.7; 1.1; 1.2; 1.2; 1.3; 1.3; 1.5; 1.5; 1.7; 1.7; 1.8; 1.9; 2.0; 2.2; 2.5; 2.6; 2.8; 2.8; 2.8; 3.5; 3.8; 4.4; 4.8; 4.9; 5.2; 5.5; 5.7; 5.8; 8.0
Presidential Ages at Inauguration
A side-by-side stem-and-leaf plot allows a comparison of the two data sets in two columns. In a side-by-side stem-and-leaf plot, two sets of leaves share the same stem. The leaves are to the left and the right of the stems. the table and the table show the ages of presidents at their inauguration and at their death. Construct a side-by-side stem-and-leaf plot using this data.
2.1 Exercise 11
Below is a two-way table showing the types of pets owned by men and women:
Given these data, calculate the conditional distributions for the subpopulation of men who own each pet type.
2.1 Exercise 12
Given the data in the table, calculate the conditional distributions for the subpopulation of women who own each pet type.
2.1 Exercise 13
The following data are the shoe sizes of 50 male students. The sizes are continuous data since shoe size is measured. Construct a histogram and calculate the width of each bar or class interval. Suppose you choose six bars.
9; 9; 9.5; 9.5; 10; 10; 10; 10; 10; 10; 10.5; 10.5; 10.5; 10.5; 10.5; 10.5; 10.5; 10.5
11; 11; 11; 11; 11; 11; 11; 11; 11; 11; 11; 11; 11; 11.5; 11.5; 11.5; 11.5; 11.5; 11.5; 1…
2.1 Exercise 14
Because the data are integers, subtract 0.5 from 1, the smallest data value and add 0.5 to 6, the largest data value. Then the starting point is 0.5 and the ending value is 6.5.
Next, calculate the width of each bar or class interval. If the data are discrete and there are not too many different values, a width that places the data values in the middle of the bar or class interval is the most conv…
2.1 Exercise 19
We will construct an overlay frequency polygon comparing the scores from the example with the students’ final test scores in algebra.
2.1 Exercise 30
For the next three exercises, use the data to construct a line graph.
What does the frequency column in the table sum to? Why?
2.1 Exercise 32
For the next three exercises, use the data to construct a line graph.
What is the difference between relative frequency and frequency for each data value in the table?
2.1 Exercise 44
The percentage of people who own at most three T-shirts costing more than $19 each is approximately:
- 21
- 59
- 41
- Cannot be determined
2.1 Exercise 46
Following are the rates of unmarried adults for the 50 U.S. states and Washington, DC.
Construct a bar graph of the unmarried adult rates of your state and the four states closest to your state. Hint: Label the x-axis with the states.
Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.