Question

The response to a question has three alternatives: A, b, and C. A sample of 120 responses provides 60 A, 24 b, and 36 C. Show the frequency and relative frequency distributions.

Answer 1

Solution:
Frequency distribution is a mathematical functions showing the number of instances in which a variable or category takes each of these possible values
Here, Out of 120 responses there are 60 A
Out of 120 responses there are 24 B
Out of 120 responses there are 36 C
So frequency distribution table can be written as

Alternatives	Frequency
A	60
B	24
C	36
Total	120

Relative frequency can be calculated as (Frequency/ total no. of responses)
So Relative frequency for Response A = (60/120) = 0.5 or 50%
Relative Frequency for Response B = 24/120 = 0.2 or 20%
Relative frequency for Response C = 36/120 = 0.3 or 30%

Alternatives	Frequency	Relative Frequency
A	60	0.5 or 50%
B	24	0.2 or 20%
C	36	0.3 or 30%
Total	120