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Find the Mode of the Following Distribution. Class-interval: 10-15 15-20 20-25 25-30 30-35 35-40 - Mathematics

Find the mode of the following distribution.

Class-interval: 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40
Frequency: 30 45 75 35 25 15

 

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Solution

Class-interval: 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40
Frequency: 30 45 75 35 25 15

Here the maximum frequency is 75 then the corresponding class 20 – 25 is the model class

L = 20, h = 25 – 20 = 5, f = 75, f1 = 45, f2 = 35

Mode `=L+(f-f_1)/(2f-f_1-f_2)xxh`

`=20+(75-45)/(2xx75-45-35)xx5`

`=20+(30xx5)/70`

`=20+150/70`

= 20 + 2.14

= 22.14

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Exercise 15.5 | Q 3.2 | Page 45
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