Question

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 23 B, and 37 C. Show the frequency and relative frequency distributions (use nearest whole number for the frequency column and 2 decimal for the relative frequency column).

Answer 1

Answer with explanation:

We know that in a frequency table we write the frequency corresponding to each of the data.

The relative frequency is the ratio of the frequency to the total frequency corresponding to each entry.

Here we have a total sample as: 120

Also, the frequency corresponding to A is: 60

Corresponding to B is: 23

and corresponding to C is: 37

Hence, the Frequency table is as follows:

Data               Frequency

 A                          60  

 B                           23

 C                           37

The relative frequency table is given by:

Data               Relative Frequency          

 A                      60/120=0.5

 B                       23/120=0.19  

 C                       37/120=0.31

Hence, we get:

Data               Relative Frequency          

 A                           0.5

 B                           0.19

 C                           0.31