TS EAMCET · Maths · Statistics
For the following frequency distribution, the variance is approximately equal to
- A 33.1
- B 30.55
- C 34.75
- D 37.5
Answer & Solution
Correct Answer
(C) 34.75
Step-by-step Solution
Detailed explanation
Now, \(\begin{aligned} \operatorname{var}(x) & =\frac{1}{N} \Sigma f_i x_i^2-\left(\frac{1}{N} \Sigma f_i x_i\right)^2 \\ & =\frac{1}{20} \times 3575-\left(\frac{1}{20} \times 240\right)^2 \\ & =178.75-144=34.75\end{aligned}\)
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