Which of the following statements is false?
A)If the standard deviation is positive, the mean must be positive.
B)The standard deviation can be negative.
C)If the mean is large, the standard deviation will be large also.
D)All of the above are false.

Question

Quizplus · Accepted Answer

All of these statements are false. The standard deviation is always non-negative, so it cannot be negative. The relationship between the mean and standard deviation depends on the data and can vary widely. The mean and standard deviation are independent measures of a dataset and do not necessarily correlate with each other.

Which of the Following Statements Is False