Higher June 2024 Paper 2 Q11

EdexcelCurrent spec7 marksCumulative Frequency

11 The frequency table gives information about the weights of 60 parcels.

Weight (\(w\) kg)Frequency
\(0 \lt w \leqslant 2\)7
\(2 \lt w \leqslant 4\)21
\(4 \lt w \leqslant 6\)15
\(6 \lt w \leqslant 8\)11
\(8 \lt w \leqslant 10\)6
(a) Complete the cumulative frequency table.
Weight (\(w\) kg)Cumulative frequency
\(0 \lt w \leqslant 2\)
\(0 \lt w \leqslant 4\)
\(0 \lt w \leqslant 6\)
\(0 \lt w \leqslant 8\)
\(0 \lt w \leqslant 10\)
(1)
(b) On the grid below, draw a cumulative frequency graph for your table.
Grid with Weight (w kg) from 0 to 10 on the horizontal axis and Cumulative frequency from 0 to 60 on the vertical axis
(2)
(c) Use your graph to find an estimate for the interquartile range. (2)
(d) Use your graph to find an estimate for the number of these parcels with a weight greater than 7.4 kg. (2)