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Question

For the bivariate frequency table forx andy, then the marginal frequency distribution fory is given by

yx0-1010-2020-3030-40Sum
0-10324211
10-20-1315
20-3032--5
30-40-67-13
Sum61114334

A
0-106
10-2011
20-3014
30-403
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B
0-1011
10-205
20-305
30-4013
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C
0-1010
10-2012
20-3014
30-401
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D

None of these

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Solution

The correct option is B
0-1011
10-205
20-305
30-4013

Step 1: Define the bivariate frequency and marginal frequency.

Bivariate frequency: A bivariate frequency distribution, in other words, is the frequency distribution of two variables. Bivariate data (Bi means “two” and “variate” means “variable”) is a term that represents data that is made up of observations that have two attributes or characteristics (2 variables).

Marginal frequency: Marginal frequency is the entry in the “total” for the column and the “total” for the row in the two-way frequency table. Marginal relative frequency is the sum of the joint relative frequencies in a row or column.

the marginal frequency distribution fory is given by

0-1011
10-205
20-305
30-4013

Hence, option (B) is the correct option.


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