In a certain school, there are 60 boys of age 12 each, 40 of age 13 each, 50 of age 14 each and 50 of age 15 each. What is the average age of all the boys of the school?Options13.513.45None of these1413.1
Question
In a certain school, there are 60 boys of age 12 each, 40 of age 13 each, 50 of age 14 each and 50 of age 15 each. What is the average age of all the boys of the school?Options13.513.45None of these1413.1
Solution
To find the average age of all the boys in the school, we need to:
-
Multiply the number of boys in each age group by their respective age to get the total age for each group.
- For the 12-year-olds: 60 boys * 12 years = 720 years
- For the 13-year-olds: 40 boys * 13 years = 520 years
- For the 14-year-olds: 50 boys * 14 years = 700 years
- For the 15-year-olds: 50 boys * 15 years = 750 years
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Add up the total age of all the groups to get the total age of all the boys in the school.
- 720 years + 520 years + 700 years + 750 years = 2690 years
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Count the total number of boys in the school.
- 60 boys + 40 boys + 50 boys + 50 boys = 200 boys
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Divide the total age by the total number of boys to get the average age.
- 2690 years / 200 boys = 13.45 years
So, the average age of all the boys in the school is 13.45 years. Therefore, the correct option is "13.45".
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