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The author focuses especially on weaknesses in numeracy often observed in adults, and in teacher-trainees in particular.

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Check-up 58: Cumulative Frequency Graphs, Finding the Median and Quartiles

By:
Derek Haylock
In:Numeracy for Teaching
Chapter DOI:https://doi.org/10.4135/9781446221464.n58
Subject:Professional Development of Staff, Mathematics
Keywords:percentiles; pupils; schools

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Check-up 58: Cumulative Frequency Graphs, Finding the Median and Quartiles

Check-up 58: Cumulative frequency graphs, finding the median and quartiles

a)
From the cumulative frequency graph given in Check-up 57, what were the lower quartile, median and upper quartile for the average points scores of the 160 grammar schools?
b)
From the cumulative frequency graph given in Further Practice question 57.1, what were the lower quartile, median and upper quartile for the percentages of pupils achieving level 3 for reading in this group of schools? What were the 40th and 60th percentiles?

Answers to Check-up 58

a)
Median = 61 points, LQ = 58 points, UQ = 65.5 points, approximately.
b)
Median = 36%, LQ = 26%, UQ = 47%, 40th %ile = 33%, 60th %ile = 40%, approximately.

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