Question

If the mode of the following distribution is 57.5 find the value of x

Answer 1

Mode of the following distribution is 57.5 find the value of x

Step-by-step explanation:

given table is :

class : 30-40, 40-50, 50-60, 60-70, 70-80, 80-90, 90-100

Frequency: 6 10, 16 x 10 5 2

The maximum frequency is 16 and corresponding to this frequency is 50-60.

Now mode is  50 + ( 16-10/2(16) - 10 - x) * 10 = 57.5

= (6/22 - x)*10 = 57.5 - 50

= 60/7.5 = 22 - x

= 22 - x = 8

= x = 22 - 8 = 14

Hence the value of x is equal to 14

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