MHT CET · Maths · Statistics
The standard deviation of the following distribution is
- A \(5 \sqrt{2}\)
- B \(\sqrt {5}\)
- C \(2\sqrt {5}\)
- D \(20\)
Answer & Solution
Correct Answer
(C) \(2\sqrt {5}\)
Step-by-step Solution
Detailed explanation
Here \(\sum \mathrm{f}_{\mathrm{i}}=12, \sum \mathrm{f}_{\mathrm{i}} x_{\mathrm{i}}=132, \sum \mathrm{f}_{\mathrm{i}} x_{\mathrm{i}}^2=1692\)
\(\therefore \mathrm{V}(\mathrm{X}) =\frac{1692}{12}-\left(\frac{132}{12}\right)^2\)
\(=141-121\)
\(=20\)
\(\therefore\) Standard deviation \(=\sqrt{20}=2 \sqrt{5}\)
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