CUET · MATHS · PYQ PAPER 2025
The point estimate of the population standard deviation for the random sample \(5,8,10,7,10,14\) is :
- A 1.5
- B 4.9
- C 3.1
- D 9
Answer & Solution
Correct Answer
(C) 3.1
Step-by-step Solution
Detailed explanation
\(\bar{x} = \frac{5+8+10+7+10+14}{6} = 9\) \(s^2 = \frac{(5-9)^2+(8-9)^2+(10-9)^2+(7-9)^2+(10-9)^2+(14-9)^2}{6-1}\) \(s^2 = \frac{16+1+1+4+1+25}{5} = \frac{48}{5} = 9.6\) \(s = \sqrt{9.6} \approx 3.1\)
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