Consider sample with the 5 observations {6, 8, 12, 16, 18} for which the mean is

Question

Consider sample with the 5 observations {6, 8, 12, 16, 18} for which the mean is 12 and the standard deviation is 5.1. If we change the sample by adding 1.5 to each value, what are the new mean and standard deviation? (A) The new mean is 12.0 and the new standard deviation is 5.1 (B) The new mean is 12.0 and the new standard deviation is 6.6 (C) The new mean is 12.0 and the new standard deviation is 3.6 (D) The new mean is 13.5 and the new standard deviation is 5.1 (E) The new mean is 13.5 and the new standard deviation is 6.6 (F) The new mean is 13.5 and the new standard deviation is 3.6 (G) None of the above. Correct answer is: ______

Explanation / Answer

The standard deviation should be more than. 5.1 and also mean will be 13.5 . So option E is correct

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