Question

If the arithmetic mean, 7, 8, x, 11, 14 is x, then x =
(a)9
(b)9.5
(c)10
(d)10.5

Answer 1

SOLUTION :  

The correct option is (c) : 10

Given : MEAN of the distribution = x  

Observations are : 7, 8, x, 11,14  

Total number of observations = 5

MEAN = Sum of all the observations/ Total number of observations

MEAN =( 7 + 8 + x + 11 + 14)/ 5

x = (40 + x ) /5  

5x = 40 + x  

5x - x = 40

4x = 40  

x = 40/4 = 10

x = 10

Hence, the value of x  is 10 .

HOPE THIS ANSWER WILL HELP YOU……

Answer 2

Answer:

Step-by-step explanation:

Answer :-

Correct option is (c) 10

Given :-

Data is 7, 8, x, 11, 14.

Total number of observations = 5

To Find :-

Value of x.

Formula to be used :-

Mean = Sum of all the observations/Total number of observations.

Solution :-

Putting all the values, we get

Mean = Sum of all the observations/Total number of observations.

Mean = (7 + 8 + x + 11 + 14)/5

⇒  x = (40 + x ) /5  

⇒  5x = 40 + x  

⇒ 5x - x = 40

⇒  4x = 40  

⇒ x = 40/4

⇒  x = 10

Hence, the value of x  is 10.