TS EAMCET · Maths · Statistics
The variance of the data : \(1,2,3,5,8,13,17\) is approximately
- A \(31.14\)
- B \(29.57\)
- C \(30.62\)
- D \(32.71\)
Answer & Solution
Correct Answer
(A) \(31.14\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } \frac{\Sigma x_i}{n}=\frac{49}{7}=7 \\ & \Sigma x_i^2=1+4+9+25+64+169+289=561 \\ & \sigma^2=\frac{\Sigma x_i^2}{n}-\left(\frac{\Sigma x_i}{n}\right)^2=\frac{561}{7}-49=\frac{218}{7}=31.14\end{aligned}\)
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