Mathematics 4024 · O Level · Averages and measures of spread

Averages and measures of spread — practice question

Steven asked 25 women how many children they have, and the results are shown in the table below.
(a(i))[2]

Calculate the mean.

(a(ii))[1]

Calculate the median.

(a(iii))[1]

State the mode.

(b)[1]

Steven says that the mode is the average that best represents the data. Explain why Steven is wrong.

(c)[2]

Steven selects two women at random from the group. Calculate the probability that both of them have just one child. Give your answer as a fraction in its simplest form.

(d)[2]

Construct a bar chart to show this data.

(e)[1]

Which five numbers are absent from the paper?

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\dfrac{0\times7+1\times5+2\times6+3\times4+4\times3}{7+5+6+4+3}$

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