Higher June 2018 Paper 2R Q11

EdexcelHigherCurrent spec8 marksCumulative Frequency Grouped Data

11 The table shows information about the amount of money spent on holiday by each of 120 families.

Money spent (£\(m\))	Frequency
\(0 \lt m \leqslant 100\)	10
\(100 \lt m \leqslant 200\)	36
\(200 \lt m \leqslant 300\)	34
\(300 \lt m \leqslant 400\)	20
\(400 \lt m \leqslant 500\)	15
\(500 \lt m \leqslant 600\)	5

(a) Write down the modal class. (1)

(b) Complete the cumulative frequency table for the information in the table. (1)

Money spent (£\(m\))	Cumulative frequency
\(0 \lt m \leqslant 100\)
\(0 \lt m \leqslant 200\)
\(0 \lt m \leqslant 300\)
\(0 \lt m \leqslant 400\)
\(0 \lt m \leqslant 500\)
\(0 \lt m \leqslant 600\)

Blank grid: money spent in pounds from 0 to 600 on the horizontal axis, cumulative frequency from 0 to 120 on the vertical axis

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

(e) Use your graph to find an estimate for the number of families that spent more than £450 on holiday. (2)

Scheme	Marks
\(100 \lt m \leqslant 200\)	B1
	(1)

Scheme	Marks
10, 46, 80, 100, 115, 120	B1
	(1)

Mark scheme (c)

Scheme	Marks
Correct cumulative frequency graph	B2
	(2)

Notes

B2: fully correct cf graph – points at ends of intervals and joined with curve or line segments

If not B2 then B1 (ft from a table with only one arithmetic error) for 5 or 6 (ft from a table with only one arithmetic error) of their points at ends of intervals and joined with curve or line segments

OR for 5 or 6 points plotted correctly at ends of intervals not joined

OR for 5 or 6 of their points from table plotted consistently within each interval (not at upper ends of intervals) at their correct heights and joined with smooth curve or line segments

Mark scheme (d)

Scheme	Marks
eg reading of 155 and 350 stated or indicated on graph	M1ft
175 – 205	A1ft
	(2)

Notes

M1ft: For use of 30 and 90, or 30.25 and 90.75, or ft from a cf graph provided method is shown.

A1ft: from their cf graph