4MA0 Foundation January 2016 Paper 1 Q15

EdexcelFoundationOld spec9 marksGrouped Data Pie Charts

15 Kim asked 40 people how many text messages they each sent on Monday.
The table shows her results.

Number of text messages sent	Frequency
0 to 4	6
5 to 9	3
10 to 14	5
15 to 19	12
20 to 24	14

Kim is going to draw a pie chart for this information.

(a) Work out the size of the angle on the pie chart for the sector representing 0 to 4 text messages. (2)

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

(d) What percentage of these 40 people sent 20 or more text messages? (2)

Scheme	Marks
6 ÷ 40 × 360 oe	M1
54	A1
	(2)

Scheme	Marks
20 to 24 oe	B1
	(1)

Mark scheme (c)

Scheme	Marks
2×6 + 7×3 + 12×5 + 17×12 + 22×14 or 12 + 21 + 60 + 204 + 308 or 605	M2
“605” ÷ 40 or \(\dfrac{2\times6 + 7\times3 + 12\times5 + 17\times12 + 22\times14}{6 + 3 + 5 + 12 + 14}\)	M1
15.125	A1
	(4)

Notes

M2: freq × all correct midpoint values stated (or evaluated) with intention to add (condone any two errors in midpoints or frequencies)
If not M2 then award M1 for all products t × f (and t is consistently within the interval, including end values) and intention to add (condone any two errors in their midpoints or frequencies)

M1: dep on at least M1

A1: accept 15 or 15.1 or 15.13 from correct working with no errors
(15 without working gains M0 A0)
NB. Accept 15.1625 (using 2.25 as mi-interval in first class)