Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The speeds, in $ \mathrm{km\,h^{-1}}$, of $90$ cars as they went past a particular marker on a road were noted, rounded to the nearest $ \mathrm{km\,h^{-1}}$. The findings are arranged in the table below: Speed ($\mathrm{km\,h^{-1}}$): $10\text{-}29, 30\text{-}39, 40\text{-}49, 50\text{-}59, 60\text{-}89$. Frequency: $10, 24, 30, 14, 12$.
(i)[4]

On the grid, draw a histogram to display the data in the table.

(ii)[2]

Calculate an estimate for the mean speed of these 90 cars as they go past the marker.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: At least three frequency densities have been calculated correctly

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI