If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is
A)7.08
B)9.08
C)10.2
D)11.2

Question

Quizplus · Accepted Answer

The quartile deviation, also known as the semi-interquartile range, is approximately equal to the mean absolute deviation (MAD) divided by the square root of 2. Therefore, if the MAD is 8.5, the quartile deviation can be calculated as $8.5 / \sqrt{2} \approx 6.01$. However, given the options provided, it seems there might be a misunderstanding in the question or the options. Based on standard mathematical conversions, none of the options directly match the calculated value. If we consider a possible approximation or a different interpretation that aligns with common statistical conversions, option A (7.08) is the closest to the expected value, assuming there might be a specific context or formula used that slightly differs from the standard calculation.

If Mean Absolute Deviation of Set of Observations Is 8