Question

A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over). How many degrees of freedom are there?

Answer 1

Answer: 3

Explanation:

Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).

Here,

Total classes as per gender: k = 2 (male female)

Total classes as per age : m = 4 (under 20, 20−29, 30−39, and 40 or over)

Now , the degree of freedom = (k-1) ( m-1)

= (2-1) (4-1)

= (1)(3)

= 3

Hence, there are 3 degree of freedom.