Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The histogram below shows how the shower times, measured in minutes, are distributed for some students.
(a)[3]

Reproduce and complete the frequency table below for the data.

(b)[2]

Calculate an estimate of the mean shower time.

(c)[3]

Two students are selected at random. Find the probability that exactly one of them spends between $7$ and $10$ minutes taking a shower.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Finding frequencies from frequency density

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