NDA2026MathematicsStatisticsActual

The standard deviation of 100 observations is 10 . If 5 is multiplied to each of the observations, then what is the new standard deviation ?

Options

Correct answer

D. 50

Step-by-step solution

Given the standard deviation of 100 observations is = 10 . If each observation in a dataset is multiplied by a constant k , the new standard deviation becomes |k| . Here, k = 5 . New standard deviation = 5 10 = 50 . Answer: 50

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