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[[1]] will be the mean age of the students, if the number of boys of a particular age in a class of 40 students are given below.

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Detailed Solution

17.45 will be the mean age of the students, if the number of boys of a particular age in a class of 40 students are given below.
Question Image

We know that,

mean = sum of all observations number of observations

Calculating the weighted age by multiplying age by the number of boys,
Question Image

Now, calculating the sum of weighted wage and dividing it by the number of workers,

Sum of all weighted age Sum of all frequencies = 45 + 128 + 153 + 198 + 114 + 60 3 + 8 + 9 + 11 + 6 + 3 = 69840 = 17.45

So, the mean age is 17.45 years.
Therefore, 17.45 is the correct answer.

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