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his Question: 1 pt 60120 (5 complete) This Test: 20 pts possible Question Help *

ID: 3042276 • Letter: H

Question

his Question: 1 pt 60120 (5 complete) This Test: 20 pts possible Question Help * What is the difference between relative frequency and cumulative frequency? Choose the correct answer below OA. Relative trequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of obsevations in that class O B. Relative requency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and al previous classes c. Reatn.oquency of a class is the number of observations in that class, while cumula hve frequency of a class is the sum of all the frequencies D. There is no dference between the two

Explanation / Answer

Part I

Relative frequency : It is the ratio number of observation in a class to the total number of observation in a data set.

I.e. Propertion of the data set lies in that class.

Cumulative frequency : Cumulative frequency is a sum of frequency of that class and frequencies of all previous classes.

For Example :

Consider Class 10-20 : Relative frequency = 18/40 = .45

Cumulative frequency : 12+18=30

Correct Answer B: Relative frequency of a class is percentage of data that falls in that class while cumulative frequency of a class is the sum of frequencies of that class and all previous classes.

Part II

Minimum = 8 maximum =87 , number of classes = 6

Class width = ( maximum - minimum) / number of classes

= (87-8) /6 = 79/6 = 13.166 = 14

The classes are 8-22 , 22-36, 36-50, 50-64, 64-78, 78-91 ( since maximium frequency is 87 which is lies in the class 78-91)

Lower limit of classes are 8, 22, 36, 50, 64, 78.

Correct Answer A : 8,22,36,50,64,78

Upper limit of classes are 22, 36, 50, 64, 78, 91.

Correct Answer A : 22,36,50,64,78,91

Class Frequency Relative Frequency Cumulative frequency 0-10 12 0.30 12 10-20 18 0.45 30 20-30 10 0.25 40 Total 40 1 ---------