Mathematics 4024 · O Level · Scatter diagrams

Scatter diagrams — practice question

The temperature at midday was measured at ten separate mountain heights. The results are presented in the table.
(a(i))[2]

Finish the scatter diagram. The first five points have already been plotted for you.

(a(ii))[1]

State the type of correlation shown by the scatter diagram.

(a(iii))[1]

Add a line of best fit to the scatter diagram.

(a(iv))[1]

A further reading is taken at a height of 1000\,\text{m}. Use your line of best fit to estimate the temperature at this height.

(b(i))[3]

Calculate an estimated mean time.

(b(ii))[1]

The information is displayed in a histogram. The bar for $5.5 < h \leq 6.5$ has a height of $8\,\text{mm}$. Work out the height of the bar for $8 < h \leq 8.5$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Scatter diagram completed correctly

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