Question

If the mean of x, x+2,x+4,x+8 is 13,find the value of x​

Answer 1

Given ,

The data is x , x + 2 , x + 4 , x + 8

Mean of the data = 13

it is know that ,

$\purple{ \star \: \large \fbox{ \sf Mean = \frac{Sum \: of \: observation }{Number \: of \: observation} }}$

Substitute the values , we obtain

$\sf \hookrightarrow 13 = \frac{x + x + 2 + x + 4 + x + 8}{4} \\ \\\sf \hookrightarrow 52 = 4x + 14 \\ \\\sf \hookrightarrow 4x = 38 \\ \\ \sf \hookrightarrow x = \frac{38}{4} \\ \\\sf \hookrightarrow x = 9.5$

Hence , the value of x is 9.5 respectively

Answer 2

Answer:

x=12.75

Step-by-step explanation:

mean = sum of all numbers/n

(where n is total terms)

so, x+x+2+x+4+x+8/5 =13

4x+14=13×5

4x=65-14

x=51/4

x=12.75

hope it to help you