4MA0 Higher January 2017 Paper 3R Q12

EdexcelHigherOld spec6 marksCumulative Frequency

12 The cumulative frequency table shows information about the times, in minutes, 80 people waited at an airport.

Time (\(t\) minutes)	Cumulative frequency
\(0 \lt t \leqslant 20\)	5
\(0 \lt t \leqslant 40\)	18
\(0 \lt t \leqslant 60\)	42
\(0 \lt t \leqslant 80\)	66
\(0 \lt t \leqslant 100\)	78
\(0 \lt t \leqslant 120\)	80

(a) On the grid opposite, draw a cumulative frequency graph for the table. (2)

(b) Use your graph to find an estimate for the median time. (2)

(c) Use your graph to find an estimate for the number of these people who waited more than \(1\dfrac{1}{2}\) hours at the airport. (2)

Cumulative frequency grid: cumulative frequency from 0 to 80 on the vertical axis, time in minutes from 0 to 120 on the horizontal axis

Mark scheme (a)

Scheme	Marks
correct graph	B2
	(2)

Notes

B2: Points at end of intervals and joined with curve or line segments

If not B2 then B1 for 5 or 6 of their points from table plotted consistently within each interval at their correct heights and joined with smooth curve or line segments

Scheme	Marks
	M1ft
8	A1ft
	(2)
	(6 marks)