Question

Following data gives height in cm (X) and weight in kgs (Y) of 20 boys. Prepare a bivariate frequency table taking class intervals 150-154, 155-159 ...etc. for X and 35-39, 40-44 ...etc. for Y. Also find Marginal frequency distributions.

Answer 1

Let X: height in cms.
Y: weight in kgs.

Y/X	150 – 154	155 – 159	160 – 164	165 – 169
35 – 39	III	I	–	–
40 – 44	II	III	–	–
45 – 49	I	II	I	–
50 – 54	I	I	III	II

Bivariate frequency distribution is

Y/X	150 – 154	155 – 159	160 – 164	165 – 169	Total (fy)
35 – 39	3	1	–	–	4
40 – 44	2	3	–	–	5
45 – 49	1	2	1	–	4
50 – 54	1	1	3	2	7
Total (fx)	7	7	4	2	20

Marginal distribution for X (height in cms)

X	150 – 154	155 – 159	160 – 164	165 – 169	Total
Frequency	7	7	4	2	20

Marginal distribution for Y (weight in kgs)

Y	35 – 39	40 – 44	45 – 49	50 – 54	Total
Frequency	4	5	4	7	20