Question

4. If the averages of the given data 6, 10, 12, x, 16 is 14. find the value of x.
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Answer 1

Average = 6 + 10 + 12 + x + 16/5

But, the average given is 14

According to the question,

=> 14 = 6 + 10 + 12 + x + 16/5

Solving for x :

=> 14*5 = 44 + x

=> 90 = 44 + x

=> 90 - 44 = x

=> 46 = x

Therefore, value of x is 46.

Answer 2

Given:

• Data is 6, 10, 12, x, 16
• Average of data is 14

To find:

• Value of x ?

Solution:

Here, given that 14 is the average of data 6, 10, 12, x, 16.

We know that :

• $\large{\boxed{\bf{Average\:=\:\dfrac{Sum\:of\: numbers}{number\:of\: numbers}}}}$

So, we have :

• Numbers = 6, 10, 12, x, 16
• Average = 14
• Number of numbers = 5

Let put the values in formula :

$\large{\bf{Average\:=\:\dfrac{Sum\:of\: number}{number\:of\: numbers}}}$

$\implies{\large{\bf{14\:=\:\dfrac{6+10+12+x+16}{5}}}}$

$\implies{\large{\bf{14\:=\:\dfrac{44+x}{5}}}}$

$\implies{\large{\bf{44+x\:=\: 14×5\:=\: 70}}}$

$\implies{\large{\bf{x\:=\:70-44}}}$

$\implies{\large{\bf{x\:=\:26}}}$

Therefore,

• Value of x = 26