Arithmetic Mean Worksheet

1Calculate the mean for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.

2Find the mean for the following set of numbers:

3, 5, 2, 6, 5, 9, 5, 2, 8, 6.

3Find the mean for the following series:

3, 5, 2, 7, 6, 4, 9.

3, 5, 2, 7, 6, 4, 9, 1.

4Given the statistical distribution of the table.

xi	61	64	67	70	73
fi	5	18	42	27	8

Calculate the mean.

5A statistical distribution is given by the following table:

	[10, 15)	[15, 20)	[20, 25)	[25, 30)	[30, 35)
fi	3	5	7	4	2

Calculate the mean.

6Given the statistical distribution:

	[0, 5)	[5, 10)	[10, 15)	[15, 20)	[20, 25)	[25, ∞)
fi	3	5	7	8	2	6

Calculate the mean.

1

Calculate the mean for the following set of numbers: 5, 3, 6, 5, 4, 5, 2, 8, 6, 5, 4, 8, 3, 4, 5, 4, 8, 2, 5, 4.

xi	fi	xi · fi
2	2	4
3	2	6
4	5	20
5	6	30
6	2	12
8	3	24
	20	96

Mean

2

Find the mean for the following set of numbers:

3, 5, 2, 6, 5, 9, 5, 2, 8, 6.

2, 2, 3, 5, 5, 5, 6, 6, 8, 9.

Mean

3

Find the mean for the series:

3, 5, 2, 7, 6, 4, 9.

Mean

3, 5, 2, 7, 6, 4, 9, 1.

Mean

4

Given the statistical distribution of the table.

xi	61	64	67	70	73
fi	5	18	42	27	8

Calculate the mean.

xi	fi	xi · fi
61	5	305
64	18	1152
67	42	2184
71	27	1890
73	8	584
	100	6745

Mean

5

A statistical distribution is given by the following table:

	[10, 15)	[15, 20)	[20, 25)	[25, 30)	[30, 35)
fi	3	5	7	4	2

Calculate the mean:

	xi	fi	xi · fi
[10, 15)	12.5	3	37.5
[15, 20)	17.5	5	87.5
[20, 25)	22.5	7	157.5
[25, 30)	27.5	4	110
[30, 35)	32.5	2	65
		21	457.5

Mean

6

Given the statistical distribution:

	[0, 5)	[5, 10)	[10, 15)	[15, 20)	[20, 25)	[25, ∞)
fi	3	5	7	8	2	6

Calculate the mean

	xi	fi	xi · fi
[10, 15)	12.5	3	37.5
[15, 20)	17.5	5	87.5
[20, 25)	22.5	7	157.5
[25, 30)	27.5	4	110
[30, 35)	32.5	2	65
		21	457.5

Mean

The mean cannot be calcuated, because the class mark of the last interval cannot be found.