Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The paired stem-and-leaf diagram gives the yearly pay, in dollars, of 27 staff members in each of two firms, Browns and Greens. For Browns, an employee’s annual salary is represented by $x$ thousand dollars, while for Greens it is represented by $y$ thousand dollars. It is stated that, for the 27 employees in each firm, $\sum x = 878.3$, $\sum x^2 = 28616.09$, $\sum y = 896.5$, $\sum y^2 = 29815.63$.
(a)[3]

Determine the median and interquartile range for the yearly salaries of Browns employees.

(b)[5]

Determine the mean and standard deviation of the yearly salaries of these 54 employees.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Median recognised as Q2

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