Foundation January 2019 Paper 2R Q15

EdexcelCurrent spec5 marksGrouped Data

15 The table gives information about the number of days that 100 cars were in an airport car park.

Number of days (\(d\))	Frequency
\(0 \lt d \leqslant 4\)	16
\(4 \lt d \leqslant 8\)	18
\(8 \lt d \leqslant 12\)	19
\(12 \lt d \leqslant 16\)	27
\(16 \lt d \leqslant 20\)	20

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

(b) Work out an estimate for the mean number of days. (4)

Scheme	Marks
\(12 \lt d \leqslant 16\)	B1
	(1)

Mark scheme (b)

Scheme	Marks
2 × 16 + 6 × 18 + 10 × 19 + 14 × 27 + 18 × 20 = 32 + 108 + 190 + 378 + 360 (=1068)	M2
‘1068’ ÷ 100	M1
10.68	A1
	(4)
	(5 marks)

Notes

M2: \(f \times d\) for at least 4 products with correct mid- interval values and intention to add.

If not M2 then award M1

for \(d\) used consistently for at least 4 products within interval (including end points) and intention to add

or

for at least 4 correct products with correct mid-interval values with no intention to add

M1: dep on at least M1 Allow division by their \(\sum f\) provided addition or total under column seen

A1: Accept 10, 10.7 and 11