The mean of the squares of the first 10 counting number is 38.5.
The first ten counting numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
The squares of the counting numbers are as follows:
1², 2², 3², 4², 5², 6², 7², 8², 9², 10².
Therefore,
mean = sum of the number / number of terms
mean = 1² + 2² + 3² + 4² + 5² + 6²+ 7² + 8² + 9² + 10² / 10
Therefore,
mean = 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 / 10
mean = 385 / 10
mean = 38.5
Therefore, the mean of the squares of the first 10 counting number is 38.5.
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