The range is 46.
The outlier is 72.
The median is 38.5.
The lower quartile (LQ) is 32 and the upper quartile (UQ) is 45.
The interquartile range (IQR) is 13.
We first order the data from least to greatest:
26,26,32,35,38,39,40,45,46,72
The median is the middle value; it is between 38 and 39:
(38+39)/2 = 77/2 = 38.5
The lower quartile is the median of the lower half (cut by the median); this is 32.
The upper quartile is the median of the upper half (cut by the median); this is 45.
The interquartile range is found by subtracting UQ-LQ: 45-32 = 13.
Outliers are any points more than 1.5 times the IQR below the LQ or more than 1.5 times the IQR above the UQ:
32-1.5(13) = 12.5; no data points are below this.
45+1.5(13) = 64.5; 72 is above this, so it is an outlier.
