statis_0433 [16 marks]

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Details

Part	Answer	Mark	Guidance
(a)	63.45	4	M1 for using mid-values 10, 30, 45, 55, 65, 75, 85, 95; M1 for Σfx (= 12 690); M1 for ÷ 200
(b)(i)	75, 117, 195, 200	2	B1 for 2 or 3 correct
(b)(ii)	Correct cumulative frequency curve through the eight points plotted at upper class boundaries	4	B1 horizontal scale/points at upper boundaries; P2 for 8 correct plots (P1 for 6 or 7); C1 for smooth curve or polygon through the points
(c)(i)	66 (accept 65–67)	1
(c)(ii)	53 (accept 52–54)	1
(c)(iii)	24 (accept 22–26)	1	FT UQ (≈ 77) − their LQ
(c)(iv)	46 (accept 42–50)	1
(c)(v)	172 (accept 170–174)	2	M1 for 200 − reading at t = 45 (≈ 28)