Question

Which of the following is correct for standard deviation, where \(\bar{X}\) = mean 

• A. \[ \sigma = \sqrt{\frac{ \sum_{i=1}^n (X_i - \bar{X})^2 }{n}} \]
• B. \[ \sigma = \sqrt{\frac{\sum_{i=1}^n (X_i - \bar{X})^2 }{n}} \]
• C. \[ \sigma = \sqrt{ \sum_{i=1}^n \left(\frac{(X_i - \bar{X})^2}{n}\right) } \]
• D. \[ \sigma = \sqrt{ \frac{\sum_{i=1}^n X_i - \bar{X}}{n} } \]

Answer 1

The Correct Option is B

The correct option is (B) :\[ \sigma = \sqrt{\frac{\sum_{i=1}^n (X_i - \bar{X})^2 }{n}} \]