Find the missing value of weight (x) assigned if the weighted average of the data set provided below is 24.5.

Object	A	B	C	D
Value of object	15	2	30	43
Assigned weight	3	2	x	1

Correct option is D

Given:

Average of data = 24

Formula Used:

Average =$$\frac{\sum x_if_i}{\sum f_i}$$​​

Solution:

​$$\sum x_if_i = 45+4+30x+43 = 92+30x$$​​

​$$\sum f_i = 6+x$$​​

Average= $$\frac{\sum x_if_i}{\sum f_i}$$​​

​$$24.5 = \frac{92+30x}{6+x}$$​​

147+24.5x = 92+30x

147-92 = 30x-24.5x

55 = 5.5x

x= 10