Question

The average of x, 2, (x +1), 5 and (2x – 7) is 5, find the value of x.

Answer 1

Answer:

Heya mate ! Heres your answer

To find average, we need to find the sum of all the given observations and divide the sum by the total number of observations

On adding the given observations,

x+2+x+1+5+2x-7= 4x+1

Now the sum of the observations is given to be 5

4x+1=5

4x=4

Therefore value of x=1

Step-by-step explanation:

Hope this helps ya:)

Answer 2

Question:

The average of x, 2, (x +1), 5 and (2x – 7) is 5, find the value of x.

To find :

The value of x..

Concept:

we know;

$mean = \dfrac{Sum\:of\:observations}{no\:of\:observations}$

Solution:

➜Sum of observations:

$x + 2 + (x + 1) + 5 + (2x - 7)$

$x + 2 + x + 1 + 5 + 2x - 7$

$4x + 1$

➜No.of observations:

= 5

Using the formula:

$mean = \dfrac{Sum\:of\:observations}{no\:of\:observations}$

$5 = \dfrac{4x + 1}{5}$

Hence , the Equation is:

$5 = \dfrac{4x + 1}{5}$

By solving the equation , we get:

$25 = 4x + 1$

$25 - 1= 4x$

$24 = 4x$

$6 = x$

$\therefore x = 6$