From the data given below calculate mode. Value frequency value frequency 0 5 328 20 25 598 5 10 350 25 30 524 10 15 720 30 35 378 715 20 664 35 40 244
Answers
Answer:
Moe = = 13.76
Step-by-step explanation:
Class Frequency
0 - 5 328
5 -10 350
10 - 15 720
20 - 25 598
25 - 30 524
30 - 35 378
35 - 40 244
The data mentioned in the question does not seem to be correct. There are some classes missing. I took the valid data form the given data.
A class with the maximum frequency is called a modal class.
Mode is given by following equation.
MODE = l + (f1-f0/(2f1-f0-f2)) × h
L = lower limit of the modal class
h = size of the class intervals
f1 = frequency of the modal class
f0 = frequency of the class preceding the modal class
f2 = frequency of the class succeed in the modal class
Highest frequency is 720. Hence Modal class is 10 – 15.
l = 10, h = 15 – 10 = 5, f1 = 720, f0 = 350, f2 = 598
Mode = 10 + (720 – 350)*5/(2*720 – 350 – 598)
= 10 + 370*5/492
= 13.76