RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF VARIABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If we are using the Mean as the Measure of Center, which Measure of Variability (or measure of variation) should we use to best represent the data?
A
IQR
B
MAD
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -That’s why the best measure of variability is standard deviation.

Detailed explanation-2: -If there are outliers it is better to use the median and IQR to measure the center and spread. If there isn’t much variability and there are not any outliers then it may be better to use the mean and the standard deviation.

Detailed explanation-3: -The shape of the distribution can help choose the most useful measure of center and measure of variability. When distributions are symmetric or approximately symmetric, the mean is the preferred measure of center and should be paired with the standard deviation as the preferred measure of variability.

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