Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The back-to-back stem-and-leaf diagram below shows the monthly salaries, in dollars, of $27$ employees in each of companies A and B. The key indicates that $1\,|\,27\,|\,6$ stands for $\$2710$ for company A and $\$2760$ for company B.
(a)[3]
Find the median and the interquartile range for the monthly salaries of employees in company A.
(b)[3]
Draw two box-and-whisker plots on one diagram to show the salary data for employees at companies A and B.
For company B, the lower quartile, median and upper quartile are $\$2600$, $\$2690$ and $\$2780$ respectively.
(c)[1]
Comment on whether the mean would be a better measure than the median for comparing the information given for the two companies.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Median stated as $2710$.” …