My Question is why do you multiply 138 times 100? In a data set with a range of

ID: 3230879 • Letter: M

Question

My Question is why do you multiply 138 times 100?

In a data set with a range of 70.8 to 123 and 200 observations, there are 138 data points with

values less than 88.1. Find the percentile for 88.1.

Answer: Total observations = 200

Number of observations less than 88.1 = 138

Percentile of an entity= Percentage of obeservations(here data points) less than that entity

Percentile of 88.1 = (Number of observations less than 88.1) * 100 / (Total number of observations)

= 138 * 100 / 200 = 69 [Answer]

My Question is why do you multiply 138 times 100?

If we want probability then we can take only 138/200 but we want percentile so we multiply by 100.

If we want decile then we multiply by 10.

If we want quantile then we multiply by 4.

But here we want percentile therefore we multiply by 100.

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