June 2022 Paper 2 Q7

OCR MEICurrent spec2 marksData Processing

7 Kareem bought some tomatoes. He recorded the mass of each tomato and displayed the results in a histogram, which is shown below.

Histogram of mass in grams (x) against frequency density (y): 0–20 height 0.4, 20–30 height 1.3, 30–35 height 3.6, 35–45 height 2, 45–60 height 0.8

Determine how many tomatoes Kareem bought. [2]

Mark scheme

Scheme	Marks	AO
\(0.4 \times 20 + 1.3 \times 10 + 3.6 \times 5 + 2 \times 10 + 0.8 \times 15\)	M1	1.1
71	A1	1.1
	[2]

Notes

M1: allow one incorrect frequency density and/or one incorrect class width
NB 8 + 13 + 18 + 20 + 12 soi with four of five correct implies M1
may be implied by 71

A1: if M0 allow SC1 for 8, 13, 18, 20, 12 and no others seen