In a data set with a minimum value of 54.5 and a maximum value of 98.6 with 300 observations, there are 186 points less than 81.2. Find the percentile for 81.2.

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04-03-2020
Mathematics

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In a data set with a minimum value of 54.5 and a maximum value of 98.6 with 300 observations, there are 186 points less than 81.2. Find the percentile for 81.2.

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joaobezerra joaobezerra · Answer 1 · 2020-03-10T02:31:45+01:00

Answer:

81.2 is the 62th percentile

Step-by-step explanation:

What is the interpretation for a percentile?

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

300 observations, there are 186 points less than 81.2. Find the percentile for 81.2.

So

[tex]p = \frac{186}{300} = 0.62[/tex]

81.2 is the 62th percentile