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John Tukey used the 1.5 IQR (Interquartile Range) rule to identify outliers in box plots as a robust method for detecting extreme values in a dataset. By calculating the lower and upper fences as (Q1 - 1.5 \times IQR) and (Q3 + 1.5 \times IQR), respectively, he established a simple criterion for flagging data points that fall outside this range. This approach helps to effectively identify outliers without being overly influenced by extreme values, allowing for a clearer understanding of the data's distribution.

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2w ago

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How do you find clusters on a box and whisker plot?

You cannot, unless they are all outliers, and the plot records outliers separately.


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When John Turkey was inventing the box-and-whisker plot in 1977 to display these values, he picked 1.5*IQR (inter-quartile range) as the demarcation line for outliers. This has worked so well, so we've continued using that value ever since.


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no max-min


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Assuming no outliers, the two are the lowest (left-most) and the highest (right-most) values of the whiskers (not wiskers).


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Go into your data to determine which values are outliers and if they're significant and random (not an apparent group), eliminate them. This will take them out of your boxplot.


What is outliers for line pot?

Outliers in a line plot are data points that significantly deviate from the overall trend or pattern of the other data points. They can appear as points that are much higher or lower than the surrounding values, indicating unusual or exceptional cases. Identifying outliers is important as they can influence statistical analyses and interpretations. In a line plot, outliers may suggest anomalies, errors in data collection, or unique events warranting further investigation.


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THe maximum observed (excluding any outliers).


Why do they invented the stem and the leaf plot?

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Yes. The exception arises when you have outliers.


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