AP EAMCET · Maths · Statistics
The variance of the observations \(2,3,5,7,11\), \(13,17,22\) is
- A 43.75
- B 48.25
- C 80
- D 350
Answer & Solution
Correct Answer
(A) 43.75
Step-by-step Solution
Detailed explanation
According to the given information, \[ \begin{aligned} \bar{x} & =\frac{\sum x_i}{8}=\frac{80}{8}=10 \\ \because \quad \sum\left(x_i-\bar{x}\right)^2 & =350 \end{aligned} \] \(\therefore\) Variance of the given observations \(=\frac{\Sigma\left(x_i-\bar{x}\right)^2}{8}\)…
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