Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The paired back-to-back stem-and-leaf diagram gives the yearly salaries of 19 workers in each of the two firms, Petral and Ravon. Key: $2\,|\,31\,|\,5$ represents a Petral worker earning $\$31\,200$ and a Ravon worker earning $\$31\,500$.
(a)[3]
Find the median and the interquartile range for the salaries paid to the Petral employees.
(b)[3]
Show the data in the back-to-back stem-and-leaf diagram as a pair of box-and-whisker plots on one diagram.
(c)[1]
Comment on whether the mean or the median is the better description of the data for the employees at Petral.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Median correctly identified as $32000$” …