Question

The average of 14,11,8,x,19 is 13.The value of x is
A)52
B)12
C)16
D)13​

Answer 1

Answer:

Option D

Step-by-step explanation:

Given :-

The average of 14,11,8,x,19 is 13

To find :-

Find the value of x ?

Solution :-

Given observations are 14,11,8,x,19

Sum of all observations

= 14+11+8+x+19

= 52+x

Number of all observations = 5

We know that

Average = Sum of all observations/ Number of all observations

=> Average = (52+x)/5

According to the given problem

Average = 13

=> (52+x)/5 = 13

=> 52+x = 13×5

=> 52+x = 65

=> x = 65 - 52

=> x = 13

Therefore, x = 13

Answer:-

The value of x for the given problem is 13

Check :-

The observations are 14,11,8,13,19

Average = (14+11+8+13+19)/5

=> Average = 65/5

Average = 13

Verified the given relations in the given problem.

Used formulae:-

• Average = Sum of all observations/ Number of all observations

Answer 2

Answer:

Given;

Numbers-14,11,8,x,19

Average of numbers=13

No of numbers=5

Step-by-step explanation:

Now,

Average=Sum of numbers given/no of numbers.

13=14+11+8+x+19/5

13×5=52+x

65=52+x

therefore,x=65-52=13

HENCE;D is the correct option