Higher January 2019 Paper 1R Q14

EdexcelHigherCurrent spec5 marksCumulative Frequency

14 The cumulative frequency diagram gives information about the values, in thousands of euros, of 120 apartments in 2015

Cumulative frequency graph: cumulative frequency (0 to 120) against value in thousands of euros (0 to 120); the curve starts at (20, 0), passes through about (40, 15), (55, 63), (70, 80) and ends at (100, 120)
(a) Find an estimate for the number of these apartments with a value of 80 thousand euros or less in 2015 (1)

The table gives information about the values, in thousands of euros, of the same 120 apartments in 2018

Value in thousands of euros (\(v\))Cumulative frequency
\(0 \lt v \leqslant 20\)0
\(0 \lt v \leqslant 40\)15
\(0 \lt v \leqslant 60\)44
\(0 \lt v \leqslant 80\)85
\(0 \lt v \leqslant 100\)102
\(0 \lt v \leqslant 120\)120
(b) On the grid above, draw a cumulative frequency diagram for this information. (2)
(c) Find an estimate for the increase in the median value for these apartments from 2015 to 2018 (2)