The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 64 A, 23 B, and 33 C responses. Show the frequency and relative frequency distributions (use nearest whole number for the frequency column and 2 decimal for the relative frequency column).

Answer with explanation:

Frequency--

It is the number of times an outcome occurs while performing an experiment some " n " number of times.

Relative frequency--

It is the ratio of the frequency of an outcomes to the total number of times an experiment is been performed.

Here there are TOTAL : 120 responses and three outcomes A, B and C.

The frequency table is given as follows:

Outcome A B C

Frequency 64 23 33

and the Relative frequency table is given as follows:

Outcome A B C

Relative frequency 64/120 23/120 33/120

i. e. the Relative frequency table is given by:

Outcome A B C

Relative frequency 0.53 0.19 0.28