For the box plot shown below, find each of the following:
Lowest score
Highest score
Range
Median
Interquartile range
Consider the box plot below and the corresponding five number summary:
| Minimum | 16 |
|---|---|
| Lower Quartile | 33 |
| Median | 47 |
| Upper Quartile | 61 |
| Maximum | 71 |
What number should go in position 2?
Consider the box plot below and the corresponding five number summary:
| Minimum | 20 |
|---|---|
| Lower Quartile | 28 |
| Median | 36 |
| Upper Quartile | 42 |
| Maximum | 52 |
Which number should go in position 4?
Create a box plot to represent the data in the following tables:
| Minimum | 5 |
|---|---|
| Lower Quartile | 25 |
| Median | 35 |
| Upper Quartile | 60 |
| Maximum | 75 |
| Minimum | 8 |
|---|---|
| Lower Quartile | 10 |
| Median | 16 |
| Upper Quartile | 24 |
| Maximum | 28 |
Consider the following data:
20, 36, 52, 56, 24, 16, 40, 4, 28
Find the five number summary.
Construct a box plot for the data.
Consider the box plot shown below:
State what percentage of scores lie between each of the following:
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?
The box plot below shows the age at which a group of people got their driving licences:
State the oldest age at which someone got their licence.
State the youngest age at which 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 the least spread out?
The bottom 50\% of responders were within how many years of one another?
The glass windows for an airplane are cut to a certain thickness, but machine production means there is some variation. The thickness of each pane of glass produced is measured (in millimetres), and the dot plot shows the results:
Find the median thickness.
Find the interquartile range.
Plot a box plot that represents the data.
What percentage of thicknesses were between 10.8 mm and 11.2 mm inclusive? Round your answer to two decimal places.
According to the box plot, in which quartile are the results the most spread out?
State whether the following can be determined from the box plot:
The mode thickness
The frequency of each thickness
The median thickness
The spread of thicknesses
Two groups of people, athletes and non-athletes, had their resting heart rate measured. The results were displayed in the following pair of box plots:
State the median heart rate of athletes.
State the median heart rate of the non-athletes.
Hence, which group has the lower heart rates?
State the interquartile range of the athletes' heart rates.
State the interquartile range of the non-athletes' heart rates.
Hence, which group has more consistent heart rate measures?
In training, a fighter pilot measures the number of seconds he blacks out over a number of flights. He constructs the following box and whisker plot:
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. Explain why his conclusion is incorrect.
VO_{2} Max is a measure of how efficiently your body uses oxygen during exercise. The more physically fit you are, the higher your VO_{2} Max. A group of people had their VO_{2} Max measured, the results are given below:
21,\text{ } 21,\text{ } 23,\text{ } 25,\text{ } 26,\text{ } 27,\text{ } 28,\text{ } 29,\text{ } 29,\text{ } 29,\text{ } 30,\text{ } 30,\text{ } 32,\text{ } 38,\text{ } 38,\text{ } 42,\text{ } 43,\text{ } 44,\text{ } 48,\text{ } 50,\text{ } 76
Find the median VO_{2} Max.
Find the upper quartile value.
Find the lower quartile value.
Construct a box plot for this data.