Finding Measures of Variation

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Measures of Variation

Slide 1  Measures of Center and Variation
 Statistics

Slide 2  Find the measures of variability and any outliers for each set of data.
 {8, 3, 9, 14, 12, 11, 20, 23, 5, 26}
 Put in order from least to greatest
 3 5 8 9 11 12 14 20 23 26
 Find the median
 X
 X
 X
 X
 X
 X
 X
 X
 11.5
 Find the quartiles
 [ ]
 [ ]
 1st Quartile (Q1)
 8
 20
 3rd Quartile (Q3)
 Find the InterQuartile Range (IQR)
 IQR = Q3 – Q1
 = 20 – 8
 = 12
 Find the Outlier Factor
 1.5(IQR)
 = 1.5(12)
 = 18
 Find the Outlier Min and Max
 Min Outlier threshold = Q1 – 18 = 8 – 18 = 10
 Max Outlier threshold = Q3 + 18 = 20 + 18 = 38
 NO OUTLIER