Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Shown below are the yearly salaries, in thousands of dollars, for $11$ workers in each of companies $A$ and $B$.
Company $A$: $30, 32, 35, 41, 41, 42, 47, 49, 52, 53, 64$
Company $B$: $26, 47, 30, 52, 41, 38, 35, 42, 49, 31, 42$.
(a)[4]
Show the data by drawing a back-to-back stem-and-leaf diagram, with company $A$ on the left-hand side of the diagram.
(b)[3]
Find the median and the interquartile range of the salaries of the employees in company $A$.
(c)[3]
A new employee joins company $B$. The mean salary of the $12$ employees is now $\$38,500$. Find the salary of the new employee.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct stem-and-leaf diagram with the correct stem.” …