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What do box and whisker plots tell you about data that measures of central tenancy do not?
The box and whisker plot informs you of the 5 number summary, which comprises of the minimum and maximum, the median, and the first and third quartiles. The minumum and maximum give you the range, which is not given by measures of central tendancy. also, if it a modified box and whisker plot, outliers will be marked separatley from the rest of the plot, outliers are also not included in the measures of center.
How are outliers of a data set related to the whiskers of its box plot?
Outliers on a modified box plot will be noted away from the ends of the whiskers, as they are not considered part of the range, due to the fact that they are so different from the rest of the data. In a regular box plot, the lowest value, whether it is an outlier or not, will be the beginning of the 1st whisker, the highest value, whether an outlier or not will be the end of the 2nd whisker.
What is unaffected by outliers?
interquartile range
Why is the interquartile range a more appropriate measure for spread than the range?
the interquartile range is not sensitive to outliers.
What is the primary disadvantage of using the range to compare the variability of data sets?
The range is very sensitive to outliers. Indeed if there are outliers then the range will be unrelated to any other elements of the sample.
