AP EAMCET · Maths · Statistics
In a distribution of 10 observation, the sum of the observations is 60 and sum of their squares is 1000 , then the variance is
- A \(8\)
- B \(64\)
- C \(32\)
- D \(40\)
Answer & Solution
Correct Answer
(B) \(64\)
Step-by-step Solution
Detailed explanation
Given, \(n=10\), \(\begin{aligned} & \Sigma x_i=60 \\ & \Sigma x_i^2=1000\end{aligned}\) \(\because \quad \operatorname{Mean}_{(\bar{X})}=\frac{\Sigma x_i}{n}=\frac{60}{10}=6\) Variance \(=\frac{\Sigma\left(x_i-\bar{x}\right)^2}{n}\)…
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