Question

Use graph paper for this question, take 2 cm = 10 marks along one axis and 2 cm = 10 students along the other axis.

The following table shows the distribution of marks in a 50 marks test in Mathematics:

Marks	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
No. of. Students	6	10	13	7	4

Draw the ogive for the above distribution and hence estimate the median marks.

Answer 1

Marks	No. of. students	c.f.
0 - 10	6	6
10 - 20	10	6 + 10 = 16
20 - 30	13	16 + 13 = 29
30 - 40	7	29 + 7 = 36
40 - 50	4	36 + 4 = 40
	n = 40

Median =`(40/2)^"th" = 20^"th"` term

∴ Median = 23