Question

If the mean of a frequency distribution is 8.1 and Σfᵢxᵢ = 132 + 5k, Σfᵢ = 20, then k =
A. 3
B. 4
C. 5
D. 6

Answer 1

Answer:

Value of k is 6 .

Step-by-step explanation:

We are given that  mean of a frequency distribution is 8.1 and Σfᵢxᵢ = 132 + 5k, Σfᵢ = 20.

As we know that Mean of data = $\frac{\sum f_i x_i}{\sum f_i}$

So,   8.1  =  $\frac{132+5k}{20}$

        8.1 * 20 = 132 + 5k

             5k = 162 - 132

               k = 30/5 = 6 .

Therefore, value of k is 6.