Find the mean of the following distribution.The age of 20 boys in a locality is given below.Age in Years121015148Number of Boys53264
Question
Find the mean of the following distribution.
The age of 20 boys in a locality is given below.
Age in Years
12 10 15 14
Number of Boys
5 3 2 4
Solution
To find the mean of the distribution, we need to multiply each age by the number of boys of that age, sum up these products, and then divide by the total number of boys.
Here's how to do it:
-
Multiply each age by the number of boys of that age:
12 * 5 = 60 10 * 3 = 30 15 * 2 = 30 14 * 6 = 84 8 * 4 = 32
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Sum up these products:
60 + 30 + 30 + 84 + 32 = 236
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Divide by the total number of boys:
236 / 20 = 11.8
So, the mean age of the boys in the locality is 11.8 years.
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