The data value that is an outlier in the data for boxes of cookies is: E. 56.
How to Determine Outliers in a Data?
The simple rule is that values lower than Q1 - 1.5 × IQR and values greater than Q3 + 1.5 × IQR are outliers of a data distribution.
Given the data, 20, 23, 18, 4, 17, 21, 15, 56, find the Q1, Q3, and IQR of the data distribution:
First Quartile (Q1) = 15.5
Third Quartile (Q3) = 22.5
Interquartile Range (IQR) = 22.5 - 15.5 = 7
Q1 - 1.5 × IQR = 15.5 - 1.5 × 7 = 5
Q3 + 1.5 × IQR = 33
None of the values are lower than 5.
However, the only value that is greater than 33 is 56.
The outlier in the data is: E. 56.
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