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Find the percentile for the data value. Data set: 55, 38, 30, 66, 67, 68, 44data...

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Find the percentile for the data value.
Data set: 55, 38, 30, 66, 67, 68, 44
data value: 55

 

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We are given the data set: 55,38,30,66,67,68,44 and wish to find the percentile for the data value 55.

(1) First we order the data set (either ascending or descending):

30,38,44,55,66,67,68

(2) A common approach to assigning a percentile is:

Percentile = `(("number of values below" X)+0.5)/("total number of values")*100%`

(There are many methods of assigning percentiles, quartiles, deciles, etc... You should check your text or notes to verify the procedure required.)

(3) For this example we have (P=Percentile):

`P=(3+0.5)/7*100%=50%` so 55 is at the `50^(th)` percentile.

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