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The mean of \( \large 1^2, 2^2,3^2,4^2,5^2,6^2 ....... 50^2 \) is
A) 850.5
B) 858.5
C) 854.5
D) 852.5
Correct answer:
B) 858.5
Description for Correct answer:
\( \large 1^2 + 2^2 + 3^2 + 4^2+ ..... +n^2 = \frac{n\left(n + 1\right)\left(2n + 1\right)}{6} \)
\( \large 1^2 + 2^2 + 3^2 + 4^2+ ..... +50^2 = \frac{50 \times 51 \times 101}{6}\)
=42925
Required average \( \large = \left( \frac{42925}{50} \right) = 858.5 \)
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