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Question

There are five members in a family  whose ages (in years ) are 40, 15, 20, 35 and 60 respectively. Two years from now, the mean of their ages will  ___.


A
remain the same
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B
increase by 2 years
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C
decrease by 2 years
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D
be reduced to half
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Solution

The correct option is B increase by 2 years
Present ages of the five family members: 40, 15 , 20 , 35 and 60
Arithmetic mean=Sum of all observationsTotal number of observations

                               =40+15+20+35+605           
                               =1705 =34

Ages of the members two years from now : 42, 17, 22, 37 and 62.
Mean of their ages two years from now is calculated as follows:
New mean=42+17+22+37+625
                   =1805=36

Hence, two years from now, the mean age will increase by 2 years.

Mathematics

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