Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The weights, $x$ kilograms, of $144$ people were collected. The findings are shown in the cumulative frequency table below.
(a(i))[2]

On graph paper, sketch a cumulative frequency graph to show these results.

(a(ii))[2]

$64$ people weigh more than $c$ kg. Use your graph to find the value of $c$.

(a(iii))[6]

Calculate estimates of the mean and standard deviation of the weights.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate plotting of cumulative frequency points such as $(40,0),(50,12),\ldots,(90,144)$” …

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