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Chapter 2: Q. 2.20 (page 95)

On a 60point written assignment, the 80thpercentile for the number of points earned was 49. Interpret the 80thpercentile in the context of this situation.

Short Answer

Expert verified
It's worth noting that the percentile doesn't always equal the value of an observation because it's calculated using sample data. As a result, the percentile may not correspond to any of the data points. The 80thpercentile is 49, thus the data below is 80percent and the data above is 20percent.

Step by step solution

01

Introduction

On a scale of 60, the 80thpercentile signifies that the number above it represents 20 % observation and the number below it represents 80%observation.

02

Explanation

We split the population into 100sub-parts, and the above to percentile value is 100*(1-p)%observation, while the below to percentile value is 100*p%observation. where 0is the starting point

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