RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
True or false:The IQR is a resistant measure of spread.
A
True
B
False
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -The IQR is the length of the box on a boxplot. Notice that only a few numbers are needed to determine the IQR and those numbers are not the extreme observations that may be outliers. The IQR is a type of resistant measure. The second measure of spread or variation is called the standard deviation (SD).

Detailed explanation-2: -The standard deviation is used as a measure of spread when the mean is use as the measure of center. d. The standard deviation is resistant to outliers.

Detailed explanation-3: -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.

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