Higher November 2019 Paper 4 Q12

OCRHigherCurrent spec9 marksCumulative FrequencyGrouped Data

12 The cumulative frequency graph summarises the annual salary, \(p\) (£ thousands), of the 60 workers in a factory.

Cumulative frequency graph, cumulative frequency 0 to 70 against annual salary (£ thousands) 0 to 80, a curve from (0, 0) rising to 60 at 80
(a) Use the graph to estimate the median annual salary. [1]
(b) Complete this cumulative frequency table.
Annual salary, p
(£ thousands)		Cumulative
frequency
\(p \leqslant 10\)
\(p \leqslant 20\)
\(p \leqslant 30\)
\(p \leqslant 50\)
\(p \leqslant 80\)
[2]
(c) Use the information in the cumulative frequency table to calculate an estimate of the mean annual salary. [5]
(d) Explain why your estimate of the median is more reliable than your estimate of the mean. [1]
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