Question

Take mean of the following distribution is 50. Find the value of x.
Class Interval 0-20 20-40 40-60 60-80 80-100
Frequency 34 3x-4 64 48 2(x-1)

Answer 1

Given :  mean of the following distribution is 50.

Class Interval 0-20 20-40 40-60 60-80 80-100

Frequency 34 3x-4 64 48 2(x-1)

To Find :  the value of x

Solution:

Class Interval  Class mark xi        f                xif

0-20                     10                     34            10(34)

20-40                  30                     3x-4         10(3)(3x - 4)

40-60                  50                     64            10(5)(64)

60-80                  70                     48           10(7)(48)

80-100                 90                    2(x -1 )     10(9)(2(x - 1)

                                            140 + 5x         10(660  + 27x)

(140 + 5x)50 =  10 (660  + 27x)

=> (140 + 5x)5  =   (660  + 27x)

=>700 + 25x  = 660 + 27x

=> 2x = 40

=> x = 20

Learn More:

The mean of 125 observation is 22.12

brainly.in/question/11740469

https://brainly.in/question/13516464