FIND ARITHMETIC MEAN BY DIRECT METHOD

Here we are going to see how to find arithmetic mean by direct method.

Arithmetic mean for grouped data can be obtained in two methods which are

(i) Direct Method and (ii) Assumed Mean Method

Formula to find arithmetic mean by direct method

Let us look into some example problems based on the above formula.

Example 1 :

Calculate the Arithmetic mean of the following data by direct method

Solution :

Now we have to use the formula given above to find the arithmetic mean.

Arithmetic mean  =  ∑fx / N  =  390 / 5

  =  15.6

Hence the required arithmetic mean for the given data is 15.6

Example 2 :

The following data give the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students

Solution :

Now we have to use the formula given above to find the arithmetic mean.

Arithmetic mean  =  ∑fx / N  =  618 / 40

  =  15.45

Hence the required arithmetic mean for the given data is 15.45

Example 3 :

Calculate the Arithmetic mean of the following data:

Solution :

Now we have to use the formula given above to find the arithmetic mean.

Arithmetic mean  =  ∑fx / N  =  4635 / 103

  =  45

Hence the required arithmetic mean for the given data is 45.

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