Based on the data points of heights within a classroom if you were 70inches tall what percentile would you be in?

Question

(63 64 61 65 63 67 68 62 73 70 66 72 62 63 62 68 66 67 72 72 66 60 64.8 62 62 63 68)

Answer 1

Simple, order the set

60.0 61.0 62.0 62.0 62.0 62.0 62.0 63.0 63.0 63.0 63.0 64.0 64.8 65.0 66.0 66.0 66.0 67.0 67.0 68.0 68.0 68.0 70.0 72.0 72.0 72.0 73.0

Find out how many datapoints are equal to or less than 70. (the answer is 23)

There are 27 data points in the data set.

Divide 23 by 27 and this is the percentile that you ocupy.

So you would be 23/27 or 85th percentile.

This is of course for the population of the classroom.

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note:

Inferential statistics would be used to interpret this data if the data represent a sample from a larger population that is being predicted. In this case the answer for the percentile would be .88 , assuming normal distribution