Higher June 2022 Paper 2 Q13

EdexcelHigherCurrent spec7 marksCumulative Frequency

13 The table gives information about the ages, in years, of 80 people in a train carriage.

Age (\(a\) years)Frequency
\(0 \lt a \leqslant 20\)7
\(20 \lt a \leqslant 30\)25
\(30 \lt a \leqslant 40\)20
\(40 \lt a \leqslant 50\)14
\(50 \lt a \leqslant 60\)8
\(60 \lt a \leqslant 70\)6
(a) Complete the cumulative frequency table. (1)
Age (\(a\) years)Cumulative frequency
\(0 \lt a \leqslant 20\)
\(0 \lt a \leqslant 30\)
\(0 \lt a \leqslant 40\)
\(0 \lt a \leqslant 50\)
\(0 \lt a \leqslant 60\)
\(0 \lt a \leqslant 70\)
(b) On the grid below, draw a cumulative frequency graph for your table. (2)
Grid for a cumulative frequency graph: cumulative frequency from 0 to 80 against age in years from 0 to 70
(c) Use your graph to find an estimate for the median age of the 80 people. (1)

Of the people in the train carriage, 60% of those who are aged between 18 and 65 are going to work. None of the other people in the train carriage are going to work.

(d) Use your graph to find an estimate for the number of people in the train carriage who are going to work. (3)
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