AP EAMCET · Maths · Statistics
The variance of the following data is
\[
\begin{array}{cccccccc}
x_i & 6 & 10 & 14 & 18 & 24 & 28 & 30 \\
f_i & 2 & 4 & 7 & 12 & 8 & 4 & 3
\end{array}
\]
- A 33.4
- B 34.3
- C 43.4
- D 44.3
Answer & Solution
Correct Answer
(C) 43.4
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Now, variance }=\frac{\sum f_i d_i^2}{N}-\left(\frac{\sum f_i d_i}{N}\right)^2 \\ & =\frac{1}{40} \times 1776-1=\frac{1736}{40}=43.4\end{aligned}\)
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