Question

the Arithmetic mean of 3 4 6 and X is 5 the value of x​

Answer 1

The value of X = 7

Given :

Arithmetic mean of 3 , 4 , 6 and X is 5

To find :

The value of X

Concept :

Arithmetic Mean

In measure of central tendency arithmetic mean is the most common measure.

For a given set of observations mean is the average value of a group of numbers.

It is obtained by adding up all the observations divide by the number of observations

Solution :

Step 1 of 2 :

Form the equation to find the value of X

Here it is given that arithmetic mean of 3 , 4 , 6 and X is 5

Number of observations = 4

Sum of the observations

= 3 + 4 + 6 + X

= X + 13

By the given condition

$\displaystyle \sf \frac{X + 13}{4} = 5$

Step 2 of 2 :

Find the value of X

$\displaystyle \sf \frac{X + 13}{4} = 5$

$\displaystyle \sf{ \implies }X + 13 = 20$

$\displaystyle \sf{ \implies }X = 20 - 13$

$\displaystyle \sf{ \implies }X = 7$

Hence the required value of X = 7

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