Question

16 Find the arithmetic meancof.
(i )Squares of the first fire natural numbers.​

Answer 1

Answer

11 is the arithmetic mean of the squares of first five natural numbers.

Explanation:

All positive integers excluding zero are natural numbers. Natural numbers- 1, 2, 3, 4 . . . . . . . ᢁ

Arithmetic mean refers to the average of the numbers.

first five natural numbers = 1, 2, 3, 4, 5

Square of first five natural numbers - 1², 2², 3², 4², 5²

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$~~\leadsto~~ \rm\small \dfrac{Sum \: of \: the \: numbers}{Quantity \: of \: the \: numbers}$

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$~~\leadsto~~ \rm\small \dfrac{ {1}^{2} + {2}^{2} + {3}^{2} + {4}^{2} + {5}^{2} }{5}$

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$~~\leadsto~~ \rm\small \dfrac{1 + 4 + 9 + 16 + 25}{5}$

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$~~\leadsto~~ \rm\small \dfrac{55}{5}$

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$~~\leadsto~~ \rm 11$

11 is the arithmetic mean of the squares of first five natural numbers.

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