High Outliers: All values greater than Q3 + (1.5 × IQR).Low Outliers: All values less than Q1 - (1.5 × IQR).You can calculate outliers mathematically using these rules: They are plotted as single dots on a boxplot. In other words, they “lie outside” most of the data. Outliers are data points that differ significantly from most of the other points in the dataset. In other words, it tells us the width of the “box” on the boxplot.īox plots show outliers in the dataset. The IQR tells us the range of the middle 50% of the data. For example if true location = 2.75, fraction% = 0.75īox plots (also known as box and whisker plots) provide a visualization that provide three key benefits compared to other visualization of data:īox plots show the size of the center quartiles and the values of Q1, Q2, and Q3.īox plots show the interquartile range (commonly called the IQR), a measure of the spread of the data. Fraction% represents the decimal component of the true location. In the formula above, low # represents the number to the left of the true location and high # represents the number to the right of the true location.After finding the true location, we can use the following formula to calculate Q1 and Q3:.True Location = (# of data points - 1) X percentile of interest.Instead we use the following formula first to find the true location:
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