Computing methods Quartile

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1 computing methods

1.1 method 1
1.2 method 2
1.3 method 3
1.4 example 1
1.5 example 2





computing methods

for discrete distributions, there no universal agreement on selecting quartile values.


method 1

this rule employed ti-83 calculator boxplot , 1-var stats functions. rule applied quartil.exc function in excel after office 2010




method 2

the values found method known tukey s hinges ; see midhinge. rule applied excel before office 2010 , quartil.inc function after office 2010


method 3

this gives arithmetic mean of methods 1 , 2; ensures median value given correct weight, , quartile values change smoothly possible additional data points added.


example 1

ordered data set: 6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49



example 2

ordered data set: 7, 15, 36, 39, 40, 41


as there number of data points, 3 methods give same results.









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