Question

If the mean of 4, 6, x, 9, 10, 5 is 7, find the value of x​

Answer 1

Answer:

The value of x is "8".

Step-by-step explanation:

The given observations are:

4, 6, x, 9, 10, 5

Mean = 7

To find, the value of x = ?

We know that,

Mean = \dfrac{Sum of observations}{Total number of observations}

Totalnumberofobservations

Sumofobservations

⇒ \dfrac{4+6+x+9+10+5}{6} =7

6

4+6+x+9+10+5

=7

⇒ \dfrac{34+x}{6} =7

6

34+x

=7

⇒ 34+x =7\times 6=4234+x=7×6=42

⇒ x = 42 -34 = 8x=42−34=8

Hence, the value of x is "8".

Answer 2

If the mean of 4, 6, x, 9, 10, 5 is 7 , then

$\frac{4+6+x+9+10+5}{6}=7$

$\frac{34+x}{6}=7$

$34+x=42$

$x=8$