Higher June 2019 Paper 2 Q13

EdexcelHigherCurrent spec6 marksCumulative Frequency

13 The table gives information about the times taken, in minutes, for 80 taxi journeys.

Time taken (\(t\) minutes)	Frequency
\(0 \lt t \leqslant 5\)	7
\(5 \lt t \leqslant 10\)	10
\(10 \lt t \leqslant 15\)	12
\(15 \lt t \leqslant 20\)	19
\(20 \lt t \leqslant 25\)	18
\(25 \lt t \leqslant 30\)	14

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

Time taken (\(t\) minutes)	Cumulative frequency
\(0 \lt t \leqslant 5\)
\(0 \lt t \leqslant 10\)
\(0 \lt t \leqslant 15\)
\(0 \lt t \leqslant 20\)
\(0 \lt t \leqslant 25\)
\(0 \lt t \leqslant 30\)

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

Grid for a cumulative frequency graph: cumulative frequency 0 to 80 against time taken 0 to 30 minutes

(d) Use your graph to find an estimate for the interquartile range. (2)

Scheme	Marks
7, 17, 29, 48, 66, 80	B1
	(1)

Mark scheme (b)

Scheme	Marks
	M1
Correct cf graph	A1
	(2)

Notes

M1: ft from (a) if only one addition error
for at least 4 points plotted correctly at end of interval or
for all 6 points plotted consistently within each interval in the frequency table at the correct height

A1: accept curve or line segments
accept curve that is not joined to (0,0)

Scheme	Marks
17 − 19	B1
	(1)

Mark scheme (d)

Scheme	Marks
For correct use 20 and 60 (20.25 and 60.75) indicated (horizontal line or mark) on the cumulative frequency axis and their readings taken from time taken axis e.g. readings of 11−13 and 22−24 indicated on horizontal axis or 23 − 12	M1
9 – 13	A1
	(2)
	(6 marks)

Notes

M1: for a complete method to ft from a cumulative frequency graph dep on M1 in (b)

A1: accept 9 – 13
ft from a cumulative frequency graph dep on M1 in (b)