Question

Below you are given the examination scores of 20 students.

52	99	92	86	84
63	72	76	95	88
92	58	65	79	80
90	75	74	56	99

a). How many classes would you recommend?

b). What class interval would you suggest?

c). Develop a relative frequency distribution

d). Develop a cumulative frequency distribution

Answer 1

52	99	92	86	84
63	72	76	95	88
92	58	65	79	80
90	75	74	56	99

a). How many classes would you recommend?

Lets use below formulae

N=Number of observations

C=Number of class

Then C=1+3.222*log(20) =5.1919

C=5

Recommended Number of classes =5

b). What class interval would you suggest?

class interval=Range/Number of classes

=(Highest observation-smallest observation)/5

c). Develop a relative frequency distribution

d). Develop a cumulative frequency distribution