Question

2. If the mean of the following data is 12,
then the value of p is :
x 4 8 p 16 20
f 5 3 12 5 4
(a) 10 (6) 12 (c) 11 (d) 13​

Answer 1

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Mark as brainleast answer.

Answer 2

Given,

x 4 8 p 16 20

f 5 3 12 5 4

Mean = 12

To Find,

Value of x =?

Solution,

We know that from the formula of mean that

Mean = ∑$\frac{f_ix_i}{f_i}$

Mean = [(4 * 5) + (8 * 3) + (p * 12) + (16 * 5) + (20 * 4)] / (5 + 3 + 12 + 5 + 4)

Mean = (20 + 24 + 12p + 80 + 80) / 29 = 12

12p + 204 = 12 * 29

12p = 348 - 204

12p = 144

p = 144 / 12

p = 12

Hence, the value of p is 12. Option(b) is the correct answer,