Question

calculate the mode of the following distribution class 10 15 frequency for class 15 20 frequency 7 class 2025 frequency 20/20 5:30 frequency 8th class 3035 frequency 1​

Answer 1

HOPE THIS HELPS...

*CLICK ON THE RED HEART IF YOU LIKE THE ANSWER*

Answer 2

Answer:

Mode  = 22.6

Step-by-step explanation:

Given: Data in Continuous Frequency Distribution table

To find: Mode of the data

Table is attached

For continuous Series, the formula for mode is given by

$Mode\,=\,l\,+\,\frac{f_1-f_0}{2\,f_1-f_0-f_2}\times h$

where, l = lower limit of modal class

           h = class length of modal class

           $f_0$ = frequency of class preceding modal class

           $f_1$ = frequency of modal class

           $f_2$ = frequency of class succeeding modal class

Modal class is class interval whose frequency is highest.

In given Data, Modal class is 20 - 25

so, l = 20 , h = 5 ,  $f_0$ = 7 , $f_1$ = 20 , $f_2$ = 8

Putting these value in formula we get,

$Mode\,=\,20\,+\,\frac{20-7}{2\times20-7-8}\times5$

$Mode\,=\,20\,+\,\frac{13}{40-15}\times5$

$Mode\,=\,20\,+\,\frac{13}{25}\times5$

$Mode\,=\,20\,+\,\frac{13}{5}$

$Mode\,=\,\frac{100+13}{5}$

$Mode\,=\,\frac{113}{5}$

$Mode\,=\,22.6$

Therefore, Mode  = 22.6