[2 Mark Question Answer]

Questions

Question 12 Marks

The following table shows the distribution of the heights of a group of factory workers:

Ht. (cm)	150 - 155	155 – 160	160 - 165	165 – 170	170 – 175	175 - 180	180 – 185
No of workers:	6	12	18	20	13	8	6

(i) Determine the cumulative frequencies.
(ii) Draw the ‘less than’ cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.

Answer

Height ( in cm)	No. of workers	c.f.
150-155	6	6
155-160	12	18
160-165	18	36
165-170	20	56
170-175	13	69
175-180	8	77
180-185	6	83

We plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69),
(180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.

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Question 22 Marks

Draw a cumulative frequency curve (ogive) for the following distributions:

Class Interval	10 – 15	15 – 20	20 – 25	25 – 30	30 – 35	35 – 40
Frequency	10	15	17	12	10	8

Answer

Class Interval	Frequency	C.F.
10-15	10	10
15-20	15	10 + 15 = 25
20-25	17	25 + 17 = 42
25-30	12	42 + 12 = 54
30-35	10	54 + 10 = 64
35-40	08	64 + 8 = 72

Taking upper class limits along x-axis and corresponding cumulative frequencies along y-axis, mark the points (10, 0), (15, 10), (20, 25), (25, 42), (30, 54), (35, 64) and (40, 72).

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Mathematics [2 Mark Question Answer]

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