9303753286127016 Find the value of x, if the arithmetic mean of 4, 5, 6, 7, 8 and x is 7.

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

 

Mean

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:

Solution

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

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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