| ALPHA : Statistics : Data Sets 04 : Upper And Lower Quartile From A List Of Data Points : ALPHA Maths Homework Exercise
Description : Upper and lower quartile from a list of data points.
Discussion : First sort the list into ascending order. Divide the list into two halves, excluding the mdian if it is a data point. The lower quartile is the point halfway along the bottom half. If the half has an even number of points the lower quartile is the average of the two points on either side of the halfway. Similarly, the upper quartile is the pint halfway along the upper half.
The homework exercise has 3 questions.
ordered list
lower quartile
upper quartile
The equations are :
lower quatile = 1/4 nth data point (excluding median)
upper quartile = 3/4 nth data point (excluding median)
Note : The quartiles can be calculated either including or excluding the median point. The median point is excluded from these calculations.
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