Question

246. If the mean of the following data is 8, then find the value of x :
2, 4, 8, 6, x, 5
(2) 23
(1) 17
(4) 25
(3) 48​

Answer 1

(2+4+8+6+x+5)/6=8

25+x=48

x=23

2)23

Answer 2

♥️ Question :-

If the mean of the following data is 8, then find the value of x :-

[2, 4, 8, 6, x, 5]

• 23
• 17
• 25
• 48

♥️ Solution :-

$\sf Mean =\Large \frac{Sum\:of\:all\: observations}{Total\:no.of\: observations}$

Here,

• The observations are 2, 4, 8, 6, x, 5
• Total no.of observations are 6
• Mean given is 8
• Sum of all the observations is x + 25.

So,

$\red \mapsto \sf \Large \frac{25 + x}{6} = 8$

$\red \mapsto \sf 25+x=8×6$

$\red \mapsto \sf 25+x=48$

$\red \mapsto \sf x = 48-25$

$\red \mapsto \sf x=23$

Therefore, the value of x is 23 when 8 is the mean of the observations 2, 4, 8, 6, x, 5.

♥️ Verification :-

We have to check by substituting the value of x.

$\sf Mean =\Large \frac{Sum\:of\:all\: observations}{Total\:no.of\: observations}$

$\red \mapsto \sf 8 = \Large \frac{2 + 4 + 8 + 6 + 23 + 5}{6}$

$\red \mapsto \sf 8= \Large \frac{48}{6}$

$\red \mapsto \sf 8=8$

Hence, verified !!

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