Question

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

Answer 1

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