Chapters

Exercise 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.

Exercise 2

Find the mean for the following set of numbers:

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

Exercise 3

Find the mean for the following series:

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

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

Exercise 4

Given the statistical distribution of the table.

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

Calculate the mean.

Exercise 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.

Exercise 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.

Solution of exercise 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

Solution of exercise 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.

Solution of exercise 3

Find the mean for the series:

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

Mean

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

Solution of 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

Solution of exercise 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

Solution of exercise 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.

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