Higher June 2025 Paper 2 Q13

EdexcelCurrent spec6 marksCumulative Frequency

13 The frequency table gives information about the times, in minutes, that 60 people took to complete a puzzle.

Time
(\(t\) minutes)		Frequency
\(0 \lt t \leqslant 10\)8
\(10 \lt t \leqslant 20\)13
\(20 \lt t \leqslant 30\)12
\(30 \lt t \leqslant 40\)17
\(40 \lt t \leqslant 50\)7
\(50 \lt t \leqslant 60\)3
(a) Complete the cumulative frequency table. (1)
Time
(\(t\) minutes)		Cumulative frequency
\(0 \lt t \leqslant 10\) 
\(0 \lt t \leqslant 20\) 
\(0 \lt t \leqslant 30\) 
\(0 \lt t \leqslant 40\) 
\(0 \lt t \leqslant 50\) 
\(0 \lt t \leqslant 60\) 
(b) On the grid below, draw a cumulative frequency graph for your table. (2)
Grid with time in minutes from 0 to 60 on the horizontal axis and cumulative frequency from 0 to 60 on the vertical axis
(c) Use your graph to find an estimate for the median time. (1)
(d) Use your graph to find an estimate for the number of these people who took more than 45 minutes to complete the puzzle. (2)
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