Question

Find the values of a, b, c, d, e, f, g from the following frequency distribution of the heights of 50 students in a class:

Height (in cm)	Frequency	Cumulative frequency
160 – 165	15	a
165 – 170	b	35
170 – 175	12	c
175 – 180	d	50
180 – 185	e	55
185 – 190	5	f
	g

Answer 1

The complete table will be

Height (in cm)	Frequency	Cumulative frequency
160 – 165	15	a = 15
165 – 170	b = 35 – 15 = 20	35
170 – 175	12	c = 35 + 12 = 47
175 – 180	d = 50 – 47 = 3	50
180 – 185	e = 55 – 50 = 5	55
185 – 190	5	f = 55 + 5 = 60
	g = 15 + 20 + 12 + 3 + 5 + 5 = 60