TS EAMCET · Maths · Statistics
The variance of the following frequency distribution is
| Class Interval | Frequency |
| 0 - 6 | 10 |
| 6 - 12 | 8 |
| 12 - 18 | 6 |
| 18 - 24 | 4 |
| 24 - 30 | 2 |
- A \(56\)
- B \(30\)
- C \(11\)
- D \(20\)
Answer & Solution
Correct Answer
(A) \(56\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \therefore \text { Variance } & =\frac{1}{N} \Sigma f_i x_i^2-\left(\frac{\Sigma f_i x_i}{N}\right)^2 \\ & =\frac{1}{30} \times 5310-\left(\frac{330}{30}\right)^2 \\ & =177-121=56\end{aligned}\)
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