MCQ
If for a sample of size 60, we have the following information \[\sum_{} x_i^2 = 18000\] and \[ \sum_{} x_i = 960 \] , then the variance is
Options
6.63
16
22
44
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Solution
Given:
\[\sum_{} x_i^2 = 18000\] , \[ \sum_{} x_i = 960 \] and n = 60
∴ Variance
\[= \frac{\sum_{} x_i^2}{n} - \left( \frac{\sum_{} x_i}{n} \right)^2 \]
\[ = \frac{18000}{60} - \left( \frac{960}{60} \right)^2 \]
\[ = 300 - 256\]
\[ = 44\]
Concept: Statistics - Statistics Concept
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