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Explain the relationship between variance and standard deviation. Can either of

ID: 3304231 • Letter: E

Question


Explain the relationship between variance and standard deviation. Can either of these measures be negative? Explain. 5. The standard deviation is the positive square root of the variance. The standard deviation and variance can never be negative. Squared deviations can never be negative. 8. The variance is the negative square root of the standard deviation. The variance can be negative but the standard deviation can never be negative. C. The standard deviation is the negative square root of the variance. The standard deviation can be negative but the variance can never be negative. D. The variance is the positive square root of the standard deviation. The standard deviation and variance can never be negative. Squared deviations can never be negat 6. If the standard deviation of a variable is 0, then the mean is equal to the median. A, True.

Explanation / Answer

Q 5. Answer is Option A)

The standard deviation is the positive square root of the variance . The standard deviation and varianvce can never be negative . Squared deviation can never be negtaive.

Q6 True

Stnadard deviation = 0 means ther is no dispersion in the data, that mean the measures of central tendency coincides, Mean = median

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