4MA0 Higher June 2015 Paper 3R Q12

EdexcelHigherOld spec5 marksCumulative Frequency

12 The grouped frequency table gives information about the times recorded for 20 runners in a 1500 metre race.

Time (\(t\) seconds)	Frequency
\(225 \lt t \leqslant 230\)	1
\(230 \lt t \leqslant 235\)	3
\(235 \lt t \leqslant 240\)	7
\(240 \lt t \leqslant 245\)	6
\(245 \lt t \leqslant 250\)	2
\(250 \lt t \leqslant 255\)	1

(a) Complete the cumulative frequency table. (1)

Time (\(t\) seconds)	Cumulative frequency
\(225 \lt t \leqslant 230\)
\(225 \lt t \leqslant 235\)
\(225 \lt t \leqslant 240\)
\(225 \lt t \leqslant 245\)
\(225 \lt t \leqslant 250\)
\(225 \lt t \leqslant 255\)

(b) On the grid, draw the cumulative frequency graph for your table. (2)

Cumulative frequency grid: time (t seconds) from 225 to 255 across, cumulative frequency from 0 to 20 up

Scheme	Marks
1, 4, 11, 17, 19, 20	B1
	(1)

Mark scheme (b)

Scheme	Marks
correct cf graph	B2
	(2)

Notes

B2: Points at end of intervals and joined with curve or line segments
If not B2 then B1 (ft from a table with only one arithmetic error) for 4 or 5 of their points from table plotted consistently within each interval at their correct heights and joined with smooth curve or line segments

Scheme	Marks
	M1
238.5 – 239.5	A1
	(2)