JEE Mains · Maths · STD 11 - 13. statistics
For the frequency distribution :
| Variate \(( x )\) | \(x _{1}\) | \(x _{1}\) | \(x _{3} \ldots \ldots x _{15}\) |
| Frequency \((f)\) | \(f _{1}\) | \(f _{1}\) | \(f _{3} \ldots f _{15}\) |
- A \(2\)
- B \(1\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\(\because \sigma^{2} \leq \frac{1}{4}( M - m )^{2}\) Where \(M\) and \(m\) are upper and lower bounds of values of any random variable. \(\therefore \quad \sigma^{2}<\frac{1}{4}(10-0)^{2}\) \(\Rightarrow 0<\sigma<5\) \(\therefore \sigma \neq 6\)
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