4MA0 Higher June 2011 Paper 3 Q11

EdexcelHigherOld spec8 marksCumulative FrequencyGrouped Data

11 The table shows information about the weights of 80 parcels.

Weight (\(w\) kg)Frequency
\(0 \lt w \leqslant 2\)8
\(2 \lt w \leqslant 4\)14
\(4 \lt w \leqslant 6\)26
\(6 \lt w \leqslant 8\)17
\(8 \lt w \leqslant 10\)10
\(10 \lt w \leqslant 12\)5
(a) Work out an estimate for the total weight of the 80 parcels. (3)
(b) Complete the cumulative frequency table.
Weight (\(w\) kg)Cumulative frequency
\(0 \lt w \leqslant 2\)
\(0 \lt w \leqslant 4\)
\(0 \lt w \leqslant 6\)
\(0 \lt w \leqslant 8\)
\(0 \lt w \leqslant 10\)
\(0 \lt w \leqslant 12\)
(1)
(c) On the grid, draw a cumulative frequency graph for your table.
Grid for cumulative frequency 0 to 80 against weight w kg 0 to 12
(2)
(d) Use the graph to find an estimate for the number of parcels which weighed less than 5.2 kg. (2)
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