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What is the IQR of 44 46 1 68 87 99?
The IQR is 48. But for only 6 observations, it is an absurd measure to use.
Is the interquartile range or IQR is found by subtracting the mean from the maximum value of a data set?
No. The IQR is found by finding the lower quartile, then the upper quartile. You then minus the lower quartile value from the upper quartile value (hence "interquartile"). This gives you the IQR.
What is an outlier in stats?
An outlier, in a set of data, is an observation whose value is distant from other observations. There is no exact definition but one commonly used definition is any value that lies outside of Median ± 3*IQR IQR = Inter-Quartile Range.
What is the outlier in 2 3 18 18 18 19 20 20 21 21?
There are no universally agreed determinants are outliers. Commonly used measure are Lower Outer Fence : Q1 - 3*IQR Lower Inner Fence : Q1 - 1.5*IQR Upper Inner Fence : Q3 + 1.5*IQR Upper Outer Fence : Q3 + 3*IQR where Q1 and Q3 are the lower and upper quartiles and IQR = Q3 - Q1. Values further than the outer fence are called extreme outliers while those between the inner and outer fences are mild outliers. On that basis the values 2 and 3 are both mild outliers.
Does the outlier affect the interquartile?
No. The IQR is a resistant measurement.
