Mathematics 9709 · AS & A Level · Continuous random variables

Continuous random variables — practice question

The durations, $t$ minutes, of $242$ telephone calls made by one family over a span of $1$ week are set out in the frequency table below.
(i)[1]

Find the value of $a$ from the information provided.

(ii)[2]

Calculate an estimate for the mean length of these phone calls.

(iii)[4]

Using the grid, draw a histogram to show the data in the table.

(c(iii))[4]

Draw a histogram on the grid to represent the data in the table.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct answer $a=40$

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