Question

lf for a distribution `sum_1^n f_i  x_i = 132 + 5p, sum_1^n f_i = 20` and mean of the distribution is 8.1, then the value of p is ______.

Options

• 3

• 6

• 4

• 5

Answer 1

lf for a distribution `sum_1^n f_i  x_i = 132 + 5p, sum_1^n f_i = 20` and mean of the distribution is 8.1, then the value of p is 6.

Explanation:

Given, `sum_1^n f_i  x_i = 132 + 5p, sum_1^n f_i = 20` and mean of the distribution is 8.1.

We know that,

Mean, `barx =(sumf_ix_i)/(sumf_i)`

∴ 8.1 = `(132 + 5p)/20`

∴ 132 + 5p = 162.0

∴ 5p = 30

∴ p = 6

Hence, the value of p is 6.