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Percentile

This topic has 3 member replies
Vasudha Senior | Next Rank: 100 Posts Default Avatar
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Percentile

Post Fri Mar 09, 2007 7:58 am
Dear friends,

Is there a specific formula to calculate percentile? In general, how do you calculate percentile?


Thanks!

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Badri Junior | Next Rank: 30 Posts Default Avatar
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Post Fri Mar 09, 2007 10:50 am
Please correct my previous answer:

99th Percentile: (99/100)*15 = 14.85 --> the 15th number (45) is the 99th percentile [14.85 numbers (99%) are EQUAL OR below the 15th number]

80th Percentile: (80/100)*15 = 12 --> 12th number (37) is 80th percentile [12 numbers (80%) are EQUAL OR below the 12th number]

60th Percentile: (60/100)*15 = 9 --> 9th number (33) is 60th percentile [9 numbers (60%) are EQUAL OR below the 9th number]


Here is the Wikipedia definition of 'percentile'

In descriptive statistics, using the percentile is a way of providing estimation of proportions of the data that should fall above and below a given value. The pth percentile is a value such that at most (100p)% of the observations are less than this value and that at most 100(1 − p)% are greater. (p is a value between 0 and 1)

Thus:

* The 1st percentile cuts off lowest 1% of data
* The 98th percentile cuts off lowest 98% of data

The 25th percentile is the first quartile; the 50th percentile is the median.

One definition is that the pth percentile of n ordered values is obtained by first calculating the rank k = \frac{p(n+1)}{100}, rounded to the nearest integer and then taking the value that corresponds to that rank.[1] One alternative method, used in many applications, is to use a linear interpolation between the two nearest ranks instead of rounding.

Linked with the percentile function, there is also a weighted percentile, where the percentage in the total weight is counted instead of the total number. In most spreadsheet applications there is no standard function for a weighted percentile.

[edit] Relation between percentile, decile and quartile

1.) P25 = Q1

2.) P50 = D5 = Q2

3.) P75 = Q3

4.) P100 = D10 = Q4

5.) P10 = D1

6.) P20 = D2

7.) P30 = D3

8.) P40 = D4

9.) P60 = D6

10.) P70 = D7

11.) P80 = D8

12.) P90 = D9



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Vasudha Senior | Next Rank: 100 Posts Default Avatar
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Post Fri Mar 09, 2007 9:29 am
Thanks Badri. That definitely helps!!

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Badri Junior | Next Rank: 30 Posts Default Avatar
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Post Fri Mar 09, 2007 10:50 am
Please correct my previous answer:

99th Percentile: (99/100)*15 = 14.85 --> the 15th number (45) is the 99th percentile [14.85 numbers (99%) are EQUAL OR below the 15th number]

80th Percentile: (80/100)*15 = 12 --> 12th number (37) is 80th percentile [12 numbers (80%) are EQUAL OR below the 12th number]

60th Percentile: (60/100)*15 = 9 --> 9th number (33) is 60th percentile [9 numbers (60%) are EQUAL OR below the 9th number]


Here is the Wikipedia definition of 'percentile'

In descriptive statistics, using the percentile is a way of providing estimation of proportions of the data that should fall above and below a given value. The pth percentile is a value such that at most (100p)% of the observations are less than this value and that at most 100(1 − p)% are greater. (p is a value between 0 and 1)

Thus:

* The 1st percentile cuts off lowest 1% of data
* The 98th percentile cuts off lowest 98% of data

The 25th percentile is the first quartile; the 50th percentile is the median.

One definition is that the pth percentile of n ordered values is obtained by first calculating the rank k = \frac{p(n+1)}{100}, rounded to the nearest integer and then taking the value that corresponds to that rank.[1] One alternative method, used in many applications, is to use a linear interpolation between the two nearest ranks instead of rounding.

Linked with the percentile function, there is also a weighted percentile, where the percentage in the total weight is counted instead of the total number. In most spreadsheet applications there is no standard function for a weighted percentile.

[edit] Relation between percentile, decile and quartile

1.) P25 = Q1

2.) P50 = D5 = Q2

3.) P75 = Q3

4.) P100 = D10 = Q4

5.) P10 = D1

6.) P20 = D2

7.) P30 = D3

8.) P40 = D4

9.) P60 = D6

10.) P70 = D7

11.) P80 = D8

12.) P90 = D9



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