Question

the A.M. of 14, 16, x, 25, 21 be 19, then the value of x is​

Answer 1

14 +16+25+21+x/5=19

76+x/5 =19

76 + x =95

x=19

Answer 2

Given,

The  A.M. of 14, 16, x, 25, 21 is 19.

To Find,

The value of x =?

Solution,

We can solve the question as follows:

It is given that the arithmetic mean of 14, 16, x, 25, 21 is 19.

We know that the arithmetic mean of a set of observations is given as:

$A.M. = \frac{Sum of Observations}{TotalObservations}$

Here,

Sum of observations $= 14 + 16 + x + 25 + 21$

                                   $= 76 + x$

Total observations = $5$

A.M. = $19$

Substituting the values in the above formula,

$19 = \frac{76 + x}{5}$

Now, we will solve the above equation and find x.

$19*5 = 76 + x$

$95 = 76 + x$

$x = 95 - 76 = 19$

Hence, the value of x is 19.