4400 Higher November 2006 Paper 4 Q16

EdexcelHigherOld spec5 marksCumulative Frequency

16 The grouped frequency table gives information about the time spent on the Internet last week by each of 80 students.

Time (\(t\) hours)Frequency
\(0 \lt t \leqslant 5\)28
\(5 \lt t \leqslant 10\)22
\(10 \lt t \leqslant 15\)14
\(15 \lt t \leqslant 20\)10
\(20 \lt t \leqslant 25\)6
(a) Complete the cumulative frequency table.
Time (\(t\) hours)Cumulative frequency
\(0 \lt t \leqslant 5\)
\(0 \lt t \leqslant 10\)
\(0 \lt t \leqslant 15\)
\(0 \lt t \leqslant 20\)
\(0 \lt t \leqslant 25\)
(1)
(b) On the grid, draw the cumulative frequency graph for your table.
Grid: cumulative frequency 0 to 90 against time 0 to 27 hours
(2)
(c) Use your graph to find an estimate for the number of students who spent more than 17 hours on the Internet last week.
Show your method clearly. (2)