Question

if the mean of five observation x,x+4, x+6, x+8, and x+12 is 16 find the value of x

Answer 1

Add all observation and divide by number of observations(5x+30)/5=16
X=10

Answer 2

Answer:

=> x = 10

Step-by-step explanation:

Given observations:-

$x,x+4,x+6,x+8,$ and $x+12$

To find:- The value of x,

Now, the sum of the observation =

=> $(x)+(x+4)+(x+6)+(x+8)+(x+12)$

By further calculation, we get

=> $2x+4+x+6+x+8+x+12$

=> $3x+4+6+x+8+x+12$

=> $3x+10+x+8+x+12$

=> $4x+10+8+x+12$

=> $4x+18+x+12$

=> $5x+18+12$

=> $5x+30$

Number of observation ( n ) = 5

The formula to be used:-

$=> \frac{\text { Sum of observations }}{\text { Number of observations }}$

$=> \frac{5x+30}{5}=16$

Multiply both sides by $5$,

$=> \frac{5x+30}{5}\times 5=16\times 5$

$=> 5x+30=80$

Subtract both sides by $30$,

$=> 5x+30-30=80-30$

$=> 5x=50$

Divide both sides by $5$,

=> $x=10$

So, the value of x is 10.