UP TGT Mathematics Statistics Test Series - Part 5

The mean and standard deviation of 100 observations were 40 and 5. Find the sum of squares of all observations sum(x_i^2...

Type: MCQ • Marks: 1
The mean and standard deviation of 100 observations were 40 and 5. Find the sum of squares of all observations sum(x_i^2).
Options
A. 1) 165,000
B. 2) 170,000
C. 3) 162,500
D. 4) 160,500
Explanation
Variance = (sum(x^2)/N) - (Mean)^2 => 25 = (sum(x^2)/100) - 1600 => sum(x^2)/100 = 1625 => sum(x^2) = 162,500.
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