The cumulative frequency curve below shows the distribution of heights, in centimetres, of 200 students at an international school.

[The curve passes through approximately: (150, 20), (160, 60), (170, 120), (180, 170), (190, 200)]

Estimate the median height of the students.

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Question

The cumulative frequency curve below shows the distribution of heights, in centimetres, of 200 students at an international school.

[The curve passes through approximately: (150, 20), (160, 60), (170, 120), (180, 170), (190, 200)]

Estimate the median height of the students.

Accepted Answer

168 cm — Award 1 mark for answer in range 167-169 cm. The median position is 200/2 = 100. Reading from the curve at cumulative frequency 100 gives approximately 168 cm. A is too low — corresponds to cumulative frequency around 50. C and D are too high — correspond to cumulative frequencies above 100.

Answer

172 cm

Answer

168 cm

Answer

165 cm

Answer

175 cm

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