Question

the average 8,10,12,14 and A is 12 the vallue is A of ?​

Answer 1

$\bf{\huge{\underline{\boxed{\sf\purple{Answer:\:16}}}}}$

$\rule{100}2$

∵ Average = Mean.

Now,

Given :

• Average of 8, 10, 12, 14 and A is 12

To Find :

• Value of A

$\huge\underline\green{\tt Solution:-}$

$\therefore\: Average\:=\dfrac{Sum\:of\:all\:observations}{Total\:no.\:of\:observations}$

$12\: =\dfrac{8 + 10 + 12 + 14 + A}{5}$

⇒ 12 × 5 = 44 + A

⇒ 60 = 44 + A

⇒ A = 60 - 44

∴ A = 16

$\rule{100}2$

Verification :-

$=\dfrac{8+10+12+14+16}{5}$

$=\dfrac{60}{5}$

= 12

Hence proved!

$\rule{200}2$

Answer 2

$\large \underline{\underline{ \mathfrak{ \: Solution : \: \: }}}$

Given ,

The data is 8 , 10 , 12 , 14 and A

The average or mean of the data is 12

It is known that ,

$\purple{ \sf { \underline{ \fbox{ \fbox{Average = \frac{sum \: of \: all \: observation }{number \: of \: observation} }</p><p> }}}}$

Substitute the values , we obtain

$\sf \hookrightarrow12 = \frac{8 + 10 + 12 + 14 +A }{5} \\ \\ \sf \hookrightarrow 60 = 44 + A \\ \\ \sf \hookrightarrow A = 60 - 44 \\ \\ \sf \hookrightarrow A = 16$

Hence , the value of A is 16 respectively