7.09 Box plots
For each of the following boxplots, find the:
Minimum value
Lower quartile
Median
Upper quartile
Maximum value
For each table of values, create a boxplot to represent the data:
| Minimum | 5 |
|---|---|
| Lower quartile | 25 |
| Median | 35 |
| Upper quartile | 60 |
| Maximum | 75 |
| Minimum | 10 |
|---|---|
| Lower quartile | 16 |
| Median | 26 |
| Upper quartile | 38 |
| Maximum | 50 |
| Minimum | 8 |
|---|---|
| Lower quartile | 10 |
| Median | 14 |
| Upper quartile | 16 |
| Maximum | 19 |
| Minimum | 31 |
|---|---|
| Lower quartile | 34 |
| Median | 38 |
| Upper quartile | 41 |
| Maximum | 47 |
For each set of data:
Complete the table for the given data.
Create a boxplot.
| Minimum | |
|---|---|
| Lower quartile | |
| Median | |
| Upper quartile | |
| Maximum |
15, 8, 13, 15, 7, 15, 2, 7, 16
20, 36, 52, 56, 24, 16, 40, 4, 28
15, 17, 10, 18, 19, 11, 12, 13
71, 73, 79, 85, 89, 80, 79, 76
Consider the boxplot shown:
State the percentage of scores that lie between each of the following values:
7 and 15
1 and 7
19 and 9
7 and 19
1 and 15
In which quartile is the data the least spread out?
A survey was conducted to find out the age that people had their first tablet device. The information is presented in the boxplot.
Complete the table below, using the information from the boxplot.
| Minimum | |
|---|---|
| Lower quartile | |
| Median | |
| Upper quartile | |
| Maximum |
A geography teacher has marked a set of tests. She wants to represent the results in a boxplot. She has already sorted her data and created the table shown. Create a boxplot to match the data in the table:
| Minimum | 8 |
|---|---|
| Lower quartile | 10 |
| Median | 16 |
| Upper quartile | 24 |
| Maximum | 28 |
Isabelle measures the length of the worms in her worm farm in centimeters. She has already sorted her data in the table shown.
Create a boxplot that represents Isabelle's data.
| Minimum | 3 |
|---|---|
| Lower quartile | 5 |
| Median | 6 |
| Upper quartile | 7 |
| Maximum | 10 |
You have asked some of your classmates how many times they have been assigned homework this week, which you record as:
7, 10, 7, 7, 3, 3, 10, 4, 1, 7, 4
Complete the given table:
Construct a boxplot for the data.
| Minimum | |
|---|---|
| Lower quartile | |
| Median | |
| Upper quartile | |
| Maximum |
The number of hours a night that a group of friends spend watching tv or on the internet, rounded to the nearest half hour, has been collected below.
3, 1, 0.5, 2, 3, 2, 3.5, 2.5, 3, 4.5, 3
Complete the given table.
Construct a boxplot for the data.
| Minimum | |
|---|---|
| Lower quartile | |
| Median | |
| Upper quartile | |
| Maximum |
Consider the boxplot below that shows the age that a group of people got their driving licences.
State the oldest age that someone got their licence.
State the youngest age that someone got their licence.
What percentage of people were aged from 18 to 22?
The middle 50\% of responders were within how many years of one another?
In which quartile are the ages least spread out?
The bottom 50\% of responders were within how many years of one another?
In training, a fighter pilot measures the number of seconds he blacks out over a number of flights. He constructs the following boxplot for his data:
As long as the pilot is not unconscious for more than 7 seconds, he will be safe to fly.
The pilot concludes that he is safe to fly all the time. Is his conclusion correct? Explain your answer.
Two groups of people, athletes and non-athletes, had their resting heart rate measured. The results are displayed in the given pair of boxplots.
What is the median heart rate of athletes?
What is the median heart rate of the non-athletes?
Using this measure, which group has the lower heart rates?
What is the interquartile range of the athletes' heart rates?
What is the interquartile range of the non-athletes' heart rates?
Using this measure, which group has more consistent heart rate measures?