4400 Higher June 2005 Paper 3 Q10

EdexcelHigherOld spec9 marksCumulative FrequencyGrouped Data

10 The table gives information about the ages, in years, of the 80 members of a sports club.

Age
(\(t\) years)		Frequency
\(10 < t \leqslant 20\)8
\(20 < t \leqslant 30\)38
\(30 < t \leqslant 40\)28
\(40 < t \leqslant 50\)4
\(50 < t \leqslant 60\)2
(a) Work out an estimate for the mean age of the 80 members. (4)
(b) Complete the cumulative frequency table.
Age
(\(t\) years)		Cumulative frequency
\(10 < t \leqslant 20\)
\(10 < t \leqslant 30\)
\(10 < t \leqslant 40\)
\(10 < t \leqslant 50\)
\(10 < t \leqslant 60\)

(1)

(c) On the grid, draw a cumulative frequency graph for your table.
Grid for a cumulative frequency graph: Age (t years) from 10 to 60 on the horizontal axis, cumulative frequency from 0 to 80 on the vertical axis

(2)

(d) Use your graph to find an estimate for the median age of the members of the club.
Show your method clearly. (2)
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