The box plots show the monthly profits (in thousands of dollars) of two derivatives traders over a year.
Who made a higher median monthly profit?
Whose profits had a higher interquartile range?
Whose profits had a higher range?
How much more did Ned make in his most profitable month than Tobias did in his most profitable month?
A builder can choose between two different types of brick that are coloured red or yellow. The parallel box plots below shows the results of tests on the strength of the bricks:
Using the box plot, explain why a builder might to prefer to use the red bricks.
Using the box plot, explain why a builder might to prefer to use yellow bricks.
The parallel box plots below shows the data collected by the manufacturers on the life-span of light bulbs, measured in thousands of hours:
Complete the following table. Write each answer in terms of hours.
| Manufacturer A | Manufacturer B | |
|---|---|---|
| Median | ||
| Lower Quartile | ||
| Upper Quartile | ||
| Range | ||
| Interquartile Range |
Hence, which manufacturer produces light bulbs with the best lifespan? Explain your answer.
A mathematics test is given to two classes. The marks out of 20 received by students in each class are represented in the box plots to the right:
For class 9P, find:
The median
The lower quartile
The upper quartile
The range
The interquartile range
For class 9Q, find:
The median
The lower quartile
The upper quartile
The range
The interquartile range
Which class tended to score better marks? Explain your answer.
The box plots drawn below show the number of repetitions of a 70\text{ kg} bar that Weightlifter A and Weightlifter B can lift. They both record their repetitions over 30 days:
Which weightlifter has the more consistent results? Explain your answer.
Which weightlifter can do the most repetitions of the 70\text{ kg} bar? Explain your answer.
A class took an English test and a Mathematics test. Both tests had a maximum possible mark of 20. The results are illustrated below.
Complete the following table using the two box plots:
| English | Mathematics | |
|---|---|---|
| Median | ||
| Lower Quartile | ||
| Upper Quartile | ||
| Range | ||
| Interquartile Range |
In which test did the class tend to score better marks? Explain your answer.
The box plots below represent the daily sales made by Carl and Angelina over the course of one month:
What is the range in Angelina's sales?
What is the range in Carl's sales?
By how much did Carl's median sales exceed Angelina's?
Considering the middle 50\% of sales for both sales people, whose sales were more consistent?
Which salesperson had a more successful sales month?
At every training session of the season, a cyclist measured her pulse rate before a sprint and after a sprint. The before and after rates, measured in beats per minute (\text{bpm}), recorded throughout the season are presented in the box plots below:
How much greater was her median pulse rate after the sprint than before the sprint?
Determine the interquartile range of her pulse rate before the sprint.
Determine the interquartile range of her pulse rate after the sprint.
Determine the range of her pulse rate before the sprint.
Determine the range of her pulse rate after the sprint.
Are her pulse rate readings more consistent before or after the sprint?
In the last session of the season, the cyclist recorded her highest pulse rate of the season both before and after the sprint. By how much did her pulse rate increase during this particular training session?
Two bookstores recorded the selling price of all their books. The results are presented in the parallel box plots:
Which bookstore had the more consistent prices?
Comparing the most expensive books in each store, how much more expensive is the one in store B?
True or False: 25\% of the books in Bookstore B are at least as expensive than the most expensive book in Bookstore A.
True or False: 25\% of the books in Bookstore B are cheaper than the cheapest book in Bookstore A.
Eileen competed in the high beam gymnastics event at both the 2006 and 2010 Olympics. Her judges' scores in both years are presented in the parallel box plots.
What was the difference between the minimum scores she was awarded?
What was the difference between the maximum scores she was awarded?
One particular judge at the 2010 games gave Eileen score of 8.3. In which quartile of her 2006 scores would this lie?
In which year did the judges score Eileen most consistently?
A cinema is showing three films, labelled A, B and C. The ages of people watching each of the films are illustrated in the parallel box plots:
Which film do you think has an adults only rating, restricting it to viewers 18 years of age and older? Explain your answer.
Which film would you recommend for a group of 15 year olds to watch? Explain your answer.
Which film would you recommend to a family of two parents in their 40's and two teenagers? Explain your answer.