1.5 Measures of Spread (Median)

 

Range = max value – min value

 

Quartiles a quartile represents 25% of the data.  The median is the middle quartile.

 

Interquartile Range (IQR) = upper quartile – lower quartile, or in short,

 

Displaying Spread Graphically

 

Box and Whisker Plot

 

A box and whisker plot does not include outliers.  The textbook has a ‘test’ for outliers which you can use.  This test is not a hard-and-fast rule and should be used with consideration for the context.

 

Upper boundary = upper quartile + 1.5  IQR

Lower boundary = lower quartile - 1.5  IQR

 

Any data outside of these boundaries can be considered outliers.

 

p. 143# 1-6

p. 148# 1-4