Mathematics 4024 · O Level · Scatter diagrams

Scatter diagrams — practice question

The table gives the age and value of $10$ cars of the same model.
(a(i))[2]

Complete the scatter diagram. The first $6$ points are already plotted for you.

(a(ii))[1]

Draw the line of best fit.

(a(iii))[1]

Use your line of best fit to estimate the value of a car of this model that is $7$ years old.

(a(iv))[1]

Jay has a car of this model that is $12$ years old and he wants to find its value. Explain why Jay should not use this scatter diagram to estimate the value of this car.

(b(i))[1]

Work out the fraction of the cars that have travelled more than $50\,000\,\text{km}$. Present your answer in simplest form.

(b(ii))[1]

Find the interval containing the median.

(b(iii))[3]

Calculate an estimated mean distance travelled.

Worked solution & mark scheme

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