RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF VARIABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If our data is Skewed Right, which Measure of Variability should we use?
A
IQR
B
MAD
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -The interquartile range is the best measure of variability for skewed distributions or data sets with outliers. Because it’s based on values that come from the middle half of the distribution, it’s unlikely to be influenced by outliers.

Detailed explanation-2: -Variability of a skewed data distribution is described by the interquartile range (IQR). The IQR describes variability by specifying the length of the interval that contains the middle 50% of the data values. Outliers in a data set are defined as those values more than 1.5(IQR) from the nearest quartile.

Detailed explanation-3: -The measure of variation is also known as the measure of skewness or dispersion. The standard deviation is considered as the best measure of dispersion whereas the range is considered as the worst measure of dispersion.

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