TS EAMCET · Maths · Statistics
The variance of the discrete data \(3,4,5,6,7,8,10,13\) is
- A \(7.5\)
- B \(8\)
- C \(9.5\)
- D \(9\)
Answer & Solution
Correct Answer
(C) \(9.5\)
Step-by-step Solution
Detailed explanation
\(\mu = \frac{3+4+5+6+7+8+10+13}{8} = \frac{56}{8} = 7\) \(\sigma^2 = \frac{(3-7)^2+(4-7)^2+(5-7)^2+(6-7)^2+(7-7)^2+(8-7)^2+(10-7)^2+(13-7)^2}{8}\) \(\sigma^2 = \frac{16+9+4+1+0+1+9+36}{8}\) \(\sigma^2 = \frac{76}{8} = 9.5\)
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