Question

If the mean of the data x, x + ,1 x + ,3 x + 6 is 7.5 , then find the value of x​

Answer 1

The value of X = 5

Step-by-step explanation:

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Please see the detailed answer in picture.

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Answer 2

Question ⤵️

If the mean of the data x, x + ,1 x + ,3 x + 6 is 7.5 , then find the value of x.

Required Answer ⤵️

$\huge \boxed{x = 5}$

Explanation and working ⤵️

Given:-

$data = x \: and \: x + 1 \: and \: x + 3 \: and \: x + 6$

$mean = 7.5$

$\huge \rm{\underbrace \red{ \: \: \: Solution \: \: \: }}$

$\Rightarrow \frac{x + x + 1 + x + 3 + x + 6}{4} = 7.5$

$\Rightarrow \frac{4x + 10}{4} = \frac{75}{10}$

Cross multiplying both sides,

$\Rightarrow 10(4x + 10) = 75 \times 4$

$\Rightarrow 40x + 10 = 300$

$\Rightarrow 40x = 300 - 100 = 200$

$\Rightarrow 40x = 200$

$\Rightarrow x = \frac{ \cancel{200}}{ \cancel{40}} = 5$

$\Rightarrow x = 5$

$\huge\boxed{\fcolorbox{cyan}{pink}{Answer:- }}$

$\huge {x = 5}$

Explanation and working on a copy with pen is also attached above.

$\huge \rm{\underbrace \blue{ \: \: \: Answer \: \: \: }}$

Hey There!!

Hope it helps!!