Question

The first moment of the distribution about the value 3 is 7. Arithmetic mean of the distribution is​

Answer 1

Answer:

The first moment of the distribution about the value 5 is 2. Arithmetic mean of the distribution is

(A) 5

(B) 2

(C) 4

(D) 7

Step-by-step explanation:

c is correct

Answer 2

Answer:

Here we will find the Arithmetic mean of the distribution using the first moment of the distribution about the value 3 is 7.

Final Answer: Arithmetic mean: 10

Step-by-step explanation:

From the given question, first moment μ₁ = $7$. Now we can calculate the mean value. That is,

                     $\sum_{i=1}^{n}\frac{ (x_ { i }-3) }{n} = \mu_{1}$

                     $\[ \sum_{i=1}^{n}\frac{ (x_ { i }-3) }{n} = 7\]$

           $\sum_{i=1}^{n}\frac{ x_ { i } }{n}-\[ \sum_{i=1}^{n}\frac{3 }{n} = 7$

                   $\sum_{i=1}^{n}\frac{ x_ { i } }{n}-\frac{3n }{n} = 7$

                     $\sum_{i=1}^{n}\frac{ x_ { i } }{n}-3 = 7$

                                $\sum\frac{ x_ { i } }{n} = 7+3=10$

Arithmetic mean     $\sum\frac{ x_ { i } }{n} =10$