Statistics And Probability Question 247

Question: For a frequency distribution standard deviation is computed by applying the formula

[Kurukshetra CEE 1999]

Options:

A) $ \sigma =\sqrt{( \frac{\sum ,fd}{\sum ,f} )-\frac{\sum ,fd^{2}}{\sum ,f}} $

B) $ \sigma =\sqrt{\frac{\sum ,fd^{2}}{\sum ,f}-{{( \frac{\sum ,fd^{2}}{\sum ,f} )}^{2}}} $

C) $ \sigma =\sqrt{{{( \frac{\sum ,fd}{\sum ,f} )}^{2}}-\frac{\sum ,fd^{2}}{\sum ,f}} $

D) $ \sigma =\sqrt{\frac{\sum ,fd^{2}}{\sum ,f}-{{( \frac{\sum ,fd}{\sum ,f} )}^{2}}} $

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Answer:

Correct Answer: D

Solution:

It is obvious.