Answer :
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
54 79 100 70 75 56 88
55 78 75 55 72 60 80
55 88 80 85 69 71 60
90 64 77 88 65 102 70
Class____frequency____cumulative frequency
54 - 63_____7_____________7
64 - 73_____7_____________14
74 - 83_____7_____________21
84 - 93_____5_____________26
94 - 103____2_____________28
You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.
The grouped frequency distribution and cumulative frequency distribution is given as
[tex]\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}[/tex]
(although 103 is not included, its just for making 5 sized class)
How to get cumulative frequency distribution?
Suppose you've got frequency distribution for classes as
a, b, c,...
Then the cumulative frequency distribution will calculate sum of all classes' frequency till that class:
a, a+b, a+b+c, ...
How to make grouped frequency and cumulative frequency distribution?
You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.
Sorting the data in ascending order gives us
54, 55, 55, 55, 56, 60, 60, 64, 65, 69, 70, 70, 71, 72, 75, 75, 77, 78, 79, 80, 80, 85, 88, 88, 88, 90, 100, 102
Using the given data, forming 5 class sized groups:
[tex]\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}[/tex]
(although 103 is not included, its just for making 5 sized class)
(in second third and fourth row, it is shown how to calculate Cumulative Frequency (CF) )
Learn more about cumulative frequency here:
https://brainly.com/question/20914550