Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

Marco cultivates two kinds of tomato plant, type A and type B. He records how many tomatoes are on each tomato plant. The table shows the findings for type A plants.
(a(i))[2]

Calculate the mean number of tomatoes on each plant.

(a(ii))[1]

Calculate the range of the data.

(a(iii))[2]

For type B plants, the mean number of tomatoes per plant is $17.1$ and the range is $8$. Make two comparison comments about type A and type B plants.

(b(i))[3]

Draw a cumulative frequency graph to show these results.

(b(ii))[3]

Marco uses strawberries with a mass greater than $21$ grams to make jam. Use your diagram to estimate the percentage of strawberries he uses to make jam.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct use of the weighted mean method

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