STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF VARIABILITY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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IQR
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MAD
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Either A or B
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None of the above
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Detailed explanation-1: -If the data is symmetric, use the mean and standard deviation. If the data is skewed, use the median and interquartile range (IQR).
Detailed explanation-2: -Two numerical measures of center is the mean and median which can determine the center as the average value if the the distribution is symmetric and if not, the median can be used because it is not resistant to outliers.
Detailed explanation-3: -For normal distributions, all measures can be used. The standard deviation and variance are preferred because they take your whole data set into account, but this also means that they are easily influenced by outliers. For skewed distributions or data sets with outliers, the interquartile range is the best measure.