Question

Following tale gives income (X) and expenditure (Y) of 25 families:

Y/X	200 – 300	300 – 400	400 – 500
200 – 300	IIII I	IIII I	I
300 – 400	–	IIII	IIII I
400 – 500	–	–	II

Find Marginal frequency distributions of income and expenditure.

Answer 1

The bivariate frequency distribution is

Y/X	200 – 300	300 – 400	400 – 500	Total (fy)
200 – 300	6	6	1	13
300 – 400	0	4	6	10
400 – 500	0	0	2	2
Total (fx)	6	10	9	25

The Marginal frequency distributions of income (X):

X	200 – 300	300 – 400	400 – 500	Total
Frequency	6	10	9	25

The Marginal frequency distributions of expenditure (Y):

Y	200 – 300	300 – 400	400 – 500	Total
Frequency	13	10	2	25