STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF CENTER AND SPREAD
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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When a distribution is skewed, which measures of center and spread are most reliable?
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Mean and standard deviation
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Mean and IQR
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Median and standard deviation
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Median and IQR
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Explanation:
Detailed explanation-1: -The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data.
Detailed explanation-2: -The IQR is often seen as a better measure of spread than the range as it is not affected by 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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