Higher January 2019 Paper 2R Q1

EdexcelHigherCurrent spec5 marksGrouped Data

1 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