Question

the mean of 12+x,14+2x,16,18+x,20,22-x and 24-3x is :​

Answer 1

Answer:

18

Step-by-step-explanation:

Mean = sum/no. *of observations

Here,

number = 7

sum is:

(12+x)+(14+2x)+16+(18+x)+20+(22-x+(24-3x)

= 12+14+16+18+20+22+24+x+2x+x-x-3x

= 126

Therefore,

Mean = 126/7

= 18

Answer 2

Answer:

Given :-

• Data = 12 + x, 14 + 2x, 16, 18 + x, 20, 22 - x and 24 - 3x

To Find :-

• What is the mean of the data.

Formula Used :-

$\boxed{\bold{\small{Mean\: =\: \dfrac{Sum\: of\: values\: of\: all\: observation}{Total\: number\: of\: Observation}}}}$

Solution :-

Given :

• Sum of all observation = 12 + x, 14 + 2x, 16, 18 + x, 20, 22 - x and 24 - 3x
• Total number of observation = 7

According to the question by using the formula we get,

⇒ $\dfrac{(12 + x) + (14 + 2x) + 16 + (18 + x) + 20 + (22 - x) + (23 - 3x)}{7}$

⇒ $\dfrac{12 + x + 14 + 2x + 16 + 18 + x + 20 + 22 - x + 23 - 3x}{7}$

⇒ $\dfrac{12 + 14 + 16 + 18 + 20 + 22 + 23 + x + 2x + x - x - 3x}{7}$

⇒ $\sf\dfrac{\cancel{126}}{\cancel{7}}$

➥ 18

$\therefore$ The mean of the data is 18 .

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