using a box plot how can you determine if there are potential outliers?

Expert Solution

Outlier is a value that lies in a data series on its extremes, which is either very small or large and thus can affect the overall observation made from the data series.

When reviewing a box plot, an outlier is defined as a data point that is located outside the whiskers of the box plot.

Since we know that

Lower Limit = Q1 – 1.5 IQR.

Upper Limit = Q3 + 1.5 IQR

where , Q1= lower quartile

Q2= upper quartile

IQR = Interquartile range.

So any value that will be more than the upper limit or lesser than the lower limit will be the outliers.

Here we represent an example.

Let the data range be 199, 201, 236, 269,271,278,283,291, 301, 303, and 341

Therefore n = 11

From above , it is clear that any range above 333.5 or below 201.5 are outliers. Hence in the data series 199, 201, 236, 269,271,278,283,291, 301, 303, 341, outliers are 199, 201 and 341.

orchestra answered 2 years ago

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