Mathematics 0580 · IGCSE · Averages and measures of spread

Averages and measures of spread — practice question

The table gives details of the time $t$, measured in minutes, that each of 150 girls needed to finish an essay.
(a)[1]

State the class interval that contains the median time.

(b)[4]

Calculate an estimate for the mean time.

(c(i))[1]

He says that it is not possible to work out the range of the times. Explain why he is correct.

(c(ii))[2]

He draws a pie chart to represent this information. Calculate the sector angle for the interval $65 < t \leq 70$ minutes.

(d)[1]

A girl is selected at random. Find the probability that she took more than 100 minutes to complete the essay.

(e(i))[2]

Work out the probability that both took 65 minutes or less to complete the essay.

(e(ii))[3]

One girl took 65 minutes or less and the other took more than 100 minutes.

(f)[3]

Fill in the table below.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: The median interval is $80 < t \le 100$.

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