Arithmetic Mean Worksheet

Solutions

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

Statistical Mean Solution


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

Statistical Mean Operations


3

Find the mean for the series:

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

Mean

Statistical Mean Example


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

Mean

Statistical Mean Exercise


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 2814
71 27 1890
73 8 584
  100 6745

Mean

Statistical Mean Worksheet


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

Statistical Mean Problem


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.