TS EAMCET · Maths · Statistics
If \(x_1, x_2, \ldots, x_n\) are \(n\) observations such that \(\sum_{i=1}^n x_1^2=400\) and \(\sum_{i=1}^n x_1=80\), then the least value of \(n\) is
- A \(18\)
- B \(12\)
- C \(15\)
- D \(16\)
Answer & Solution
Correct Answer
(D) \(16\)
Step-by-step Solution
Detailed explanation
Given, \(\quad \sum_{i=1}^n x_i^2=400\) and \[ \sum_{i=1}^n x_i=80 \] We know, \(\frac{\Sigma\left(x_i\right)^2}{n}-\left(\frac{\Sigma x_i}{n}\right)^2 \geq 0\)…
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