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Question: Answered & Verified by Expert
The following information relates to a sample of size 60 , $\sum x^2=18000$, and $\sum x=960$. Then, the variance is
MathematicsStatistics
Options:
  • A
    $6.63$
  • B
    16
  • C
    22
  • D
    44
Solution:
2845 Upvotes Verified Answer
The correct answer is:
44
Since, variance $=\frac{\sum x_i^2}{n}-\left(\frac{\sum x_i}{n}\right)^2$
$$
=\frac{18000}{60}-\left(\frac{960}{60}\right)^2=300-256=44
$$

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