Find the value of x, if the arithmetic mean of 4, 5, 6, 7, 8 and x is 7.



Mean is the most commonly used measure of central tendency. It actually represents the average of the given collection of data. It is applicable for both continuous and discrete data.

It is equal to the sum of all the values in the collection of data divided by the total number of values.

Suppose we have n values in a set of data namely as

then the mean of data is given by:

It can also be denoted as:


The given numbers are f 4, 5, 6, 7, 8 and x

We have to determine the value of x

The arithmetic mean is 7

(4+5+6+7+8+x)/6 = 7

4+5+6+7+8+x = 7(6)

4+5+6+7+8+x = 42

30+x = 42

x = 42-30 = 12

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