TS EAMCET · Maths · Statistics
If \(\alpha, \beta\) are respectively the mean deviation about the mean and variance of the first five prime numbers, then the ordered pair \((\alpha, \beta)\)
- A \((2.27,10.42)\)
- B \((2.27,10.24)\)
- C \((2.72,10.24)\)
- D \((2.72,10.42)\)
Answer & Solution
Correct Answer
(C) \((2.72,10.24)\)
Step-by-step Solution
Detailed explanation
Mean of first five prime numbers \(=\frac{2+3+5+7+11}{5}=\frac{28}{5}=5.6\) \(\therefore\) Mean deviation about mean \(=\frac{|2-5.6|+|3-5.6|+|5-5.6|+|7-5.6|+|11-5.6|}{5}\) \(=\frac{3.6+2.6+0.6+1.4+5.4}{5}=\frac{13.6}{5}=2.72\) Variance…
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