STAT150 Lecture Notes - Lecture 3: Interquartile Range, Scatter Plot, Standard Deviation

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The median divides the area in the distribution into equal parts, where as the mean is the centre of gravity (point of balance) of the data. Both the median and the mean summarise numerical data, using a single value to give an indication of the overall location (centre) of the measurements. The mean and median are not the same unless the distribution is symmetric. The median is not as sensitive to outliers as the mean. So the median is a more robust measure of centre than the mean (less easily influenced by outliers) and is better to use with skewed distributions. The range may be greatly inflated by even one outlier. The standard deviation may also be greatly affected by outliers. Unlike the range and the standard deviation, the inter-quartile range is no sensitive to outliers. It may not even be affected by outliers. So the inter-quartile range, like the median, is a robust summary measure.

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