Question

: The students take a survey which has a single question with three possible answers; A, B, and C Suppose we have a sam ple of 200 esponses which provides 80 A, 70 B, and 50 C. Show the frequency and relative frequency distributions: Class Frequency Relative Frequency Total 2. A partial relative frequency distribution is given. Frequency % Frequency Class 36% 24% 28% D What is the relative frequency of class D? Assume the total sample size is 200. What is the frequency of class D? D Show the frequency distribution for each class.

Answer 1

(1)

Class	Frequency	Relative Frequency
A	80	80/200 = 0.40
B	70	70/200 = 0.35
C	50	50/200 = 0.25
Total	200	1.00

(2)

Class	% Frequency	Frequency
A	36 %	200 X 36%= 72
B	24 %	200 X 24% = 48
C	28 %	200 X 28% = 56
D	12%	200 X 12% = 24
Total	100 %	200

(1) Relative frequency of class D = 100% - (36% + 24% + 28% ) = 100% - 88% = 12%

(2) Frequency of class D = 200 X12% = 24

(3) Frequency distribution of each class is given in the above Table.