# FIND ARITHMETIC MEAN BY DIRECT METHOD WORKSHEET

## About "Find arithmetic mean by direct method worksheet"

Find Arithmetic Mean by Direct Method Worksheet :

Here we are going to see some practice questions of finding arithmetic mean by direct method.

## Find arithmetic mean by direct method worksheet - Practice questions

Question 1 :

Calculate the Arithmetic mean of the following data by direct method

 x51015202530 f457432

Question 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

 Age (in years)131415161718 Number of students3891163

Question 3 :

Calculate the Arithmetic mean of the following data:

 x1525354555657585 f12201514161178

Question 1 :

Calculate the Arithmetic mean of the following data by direct method

 x51015202530 f457432

Solution :

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

 x51015202530Total f457432N  =  25 fx2050105807560∑fx  =  390

Arithmetic mean  =  ∑fx / N  =  390 / 5

=  15.6

Hence the required arithmetic mean for the given data is 15.6

Question 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

 Age (in years)131415161718 Number of students3891163

Solution :

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

 x131415161718Total f3891163N  =  40 fx3911213517610254∑fx  =  618

Arithmetic mean  =  ∑fx / N  =  618 / 40

=  15.45

Hence the required arithmetic mean for the given data is 15.45

Question 3 :

Calculate the Arithmetic mean of the following data:

 x1525354555657585 f12201514161178

Solution :

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

 x1525354555657585Total f12201514161178N  =  103 fx180500525630880715525680∑fx  =  4635

Arithmetic mean  =  ∑fx / N  =  4635 / 103

=  45

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

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