Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

Twenty children were requested to estimate how tall a particular tree was. Their estimates, measured in metres, were: $4.1, 4.2, 4.4, 4.5, 4.6, 4.8, 5.0, 5.2, 5.3, 5.4, 5.5, 5.8, 6.0, 6.2, 6.3, 6.4, 6.6, 6.8, 6.9, 19.4$.
(a)[1]

Find the mean value of the estimated heights.

(b)[1]

Find the median value of the estimated heights.

(c)[1]

Give a reason why the median is probably more appropriate than the mean as a measure of central tendency for this information.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct median calculation, for example $ 123.4/20 = 6.17$ minutes.

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