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Find Skp for the following set of observations.17, 17, 21, 14, 15, 20, 19, 16, 13, 17, 18 - Mathematics and Statistics

Sum

Find Skp for the following set of observations.
17, 17, 21, 14, 15, 20, 19, 16, 13, 17, 18

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Solution

`sum"x"_"i"` = 17 + 17 + 21 + 14 + 15 + 20 + 19 + 16 + 13 + 17 + 18 = 187

Here, n = 11

Mean = `(sum"x"_"i")/"n"`

= `(187)/(11)`

= 17

Mode = Observation that occurs most frequently in the data
 = 17

Skp = `("Mean"-"Mode")/"S.D."`

= `(17-17)/"S.D."`

= `0/"S.D."`

= 0

Concept: Measures of Skewness - Karl Pearson’S Coefficient of Skewness (Pearsonian Coefficient of Skewness)
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