What is the meaning of percentile in statistics?

In summary, a percentile in statistics is a measure used to describe the position of a particular value within a larger set of data. It is calculated by arranging the data set in ascending order and multiplying the desired percentile by the total number of values. This measure is significant in statistics as it allows for comparison of individual values to the distribution of the data. It differs from other measures of central tendency and can be used to compare data sets with the same units of measurement and similar distribution.
  • #1
pairofstrings
411
7
I want to know what is the meaning of percentile.
what is the percentile : 23.79 means?
Please give me explanation and also examples.
Thanks!
 
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  • #2
pairofstrings said:
I want to know what is the meaning of percentile.
what is the percentile : 23.79 means?
Please give me explanation and also examples.
Thanks!

Wikipedia said:
In statistics, a percentile (or centile) is the value of a variable below which a certain percent of observations fall.

Basically, if you get 23.79 percentile in an exam, it means you have the same or a higher score than 23.79% candidates.
 

1. What is a percentile in statistics?

A percentile in statistics is a measure used to describe the position of a particular value within a larger set of data. It indicates the percentage of values that are equal to or below a given value in the data set.

2. How is percentile calculated?

Percentile is calculated by first arranging the data set in ascending order. Then, the desired percentile is converted to a decimal and multiplied by the total number of values in the data set. The resulting value indicates the position of the desired percentile in the data set. If the resulting value is not a whole number, the value is rounded up to the nearest whole number and the corresponding value in the data set is the desired percentile.

3. What is the significance of percentile in statistics?

Percentiles are useful in statistics because they provide a way to compare individual values to the overall distribution of the data. They can also help identify outliers or extreme values in a data set.

4. How is percentile different from other measures of central tendency?

Percentile is different from other measures of central tendency, such as mean, median, and mode, because it takes into account the entire data set and not just a specific value or range of values. It also provides a more precise measure of the position of a value within the data set.

5. Can percentile be used to compare data sets?

Yes, percentile can be used to compare data sets because it provides a standardized way of measuring the relative position of a value in a data set. However, it is important to note that percentiles can only be compared between data sets if they have the same units of measurement and a similar distribution of values.

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