4400 Higher June 2010 Paper 3 Q6

EdexcelHigherOld spec10 marksCumulative FrequencyGrouped Data

6 The table shows information about the volume of water, in m3, used by each of 80 families in one year.

Volume of water (\(V\) m3)Frequency
\(0 \lt V \leqslant 100\)2
\(100 \lt V \leqslant 200\)4
\(200 \lt V \leqslant 300\)6
\(300 \lt V \leqslant 400\)18
\(400 \lt V \leqslant 500\)44
\(500 \lt V \leqslant 600\)6
(a) Write down the modal class. (1)
(b) Work out an estimate for the mean volume of water used by the 80 families. (4)
(c) Complete the cumulative frequency table.
Volume of water (\(V\) m3)Cumulative frequency
\(0 \lt V \leqslant 100\)
\(0 \lt V \leqslant 200\)
\(0 \lt V \leqslant 300\)
\(0 \lt V \leqslant 400\)
\(0 \lt V \leqslant 500\)
\(0 \lt V \leqslant 600\)
(1)
(d) On the grid, draw a cumulative frequency graph for your table.
Grid for a cumulative frequency graph: cumulative frequency 0 to 90 against volume of water 0 to 650 cubic metres
(2)
(e) Use your graph to find an estimate for the median volume of water used by the 80 families. (2)
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