Question

The mean of 11, 12, 14, x, 19, 23 is 16. Find x​

Answer 1

Answer:

The Number is 17.

Step-by-step explanation:

Given :

Mean = 16

Observations = 11, 12, 14, x, 19 and 23

To find :

The Value of x

Solution :

$\bigstar \: \boxed{\sf{Mean = \frac{Sum \: of \: Observations}{No. \: of \: Observations}}}$

$\sf{\implies} \: 16 = \dfrac{11 + 12 + 14 +x + 19 + 23}{6} \\ \\ \sf{\implies} \: 16 = \frac{79 +x}{6} \\ \\ \sf{\implies} \: 16 \times 6 = 79 + x \\ \\ \sf{\implies} \: 96 = 79 + x \\ \\ \sf{\implies} \: x = 96 - 79 \\ \\ \sf{\implies} \: x = 17$

Value of x = 17

$\therefore$ The Number is 17.

Answer 2

$\huge\mathfrak{\red{Answer:-}}$

The no. is 17

$\huge\mathbb{SOLUTION:-}$

$\huge\sf{\red{To\:Find:-}}$

• We have to find the value of x

$\bf\underline{\underline{According\:To\: Question:-}}$

• Given that the mean of observation
• we have to find the value of x

$\boxed{\sf{\star{Mean=\frac{sum\:of\: observation}{Number\:of\: observation}}}}$

$\sf\implies \frac{11+12+14+x+19+23}{6}=16\\ \\ \sf\implies 79+x=16\times 6\\ \\ \sf\implies 79+x=96\\ \\ \sf\implies x=96-79\\ \\ \sf\implies x=17$

• The value of x is

$\boxed{\sf{\star{\red{x=17}}}}$