10-if the mean of 16, 14, X, 23, 20 is 18. Find thevalue of x.a. 17b-1

1.	10-if the mean of 16, 14, X, 23, 20 is 18. Find thevalue of x.a. 17b-16
Answer» Answer :- Option a is correct. The value of X is 17. Given :- The mean of 16, 14, x, 23 and 20 is 18. To FIND :- The value of x. Step-by-step EXPLANATION :- We know that :- $\underline{ \boxed{ \sf Mean = \dfrac{Sum \: of \: observations}{Number \: of \: observations}}}$ Here, Sum of observations = 16 + 14 + x + 23 + 20. Number of observations = 5. Mean = 18. ----------------- $\underline{\underline{\mathfrak{Substituting \: these \: values \: in \: the \: formula,}}}$ $\boxed{\sf \dfrac{16 + 14 + x + 23 + 20}{5} = 18}$ Adding all the numbers, $\implies\boxed{ \sf\dfrac{73 + x}{5} = 18}$ Transposing 5 from LHS to RHS, changing it's sign, $\implies\boxed{ \sf73 +x = 18 \times 5}$ On multiplying 18 by 5, $\implies \boxed {\sf73 + x = 90}$ Transposing 73 from LHS to RHS, changing it's sign, $\implies\boxed{ \sf x = 90 - 73}$ Subtracting 73 from 90, $\implies \overline{\boxed{\sf x = 17.}}$ ----------------------------------------------------------- Hence, the value of x is 17.

10-if the mean of 16, 14, X, 23, 20 is 18. Find thevalue of x.a. 17b-16

Answer»

Answer :-

Given :-

To FIND :-

Step-by-step EXPLANATION :-

We know that :-

$\underline{ \boxed{ \sf Mean = \dfrac{Sum \: of \: observations}{Number \: of \: observations}}}$

Here,

-----------------

$\underline{\underline{\mathfrak{Substituting \: these \: values \: in \: the \: formula,}}}$

$\boxed{\sf \dfrac{16 + 14 + x + 23 + 20}{5} = 18}$

Adding all the numbers,

$\implies\boxed{ \sf\dfrac{73 + x}{5} = 18}$

Transposing 5 from LHS to RHS, changing it's sign,

$\implies\boxed{ \sf73 +x = 18 \times 5}$

On multiplying 18 by 5,

$\implies \boxed {\sf73 + x = 90}$

Transposing 73 from LHS to RHS, changing it's sign,

$\implies\boxed{ \sf x = 90 - 73}$

Subtracting 73 from 90,

$\implies \overline{\boxed{\sf x = 17.}}$

-----------------------------------------------------------