The document discusses quartiles, deciles, and percentiles, which are ways to divide a frequency distribution curve into equal areas. The median divides the curve into two equal areas, while quartiles divide it into four equal areas. Deciles divide the curve into ten equal areas, and percentiles divide it into one hundred equal areas. To find quartiles, deciles, or percentiles, the data is arranged in ascending order and the values that divide the data into equal numbers of data points are identified.

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13. PERCENTILES
REJOICE T.
FRANCISCO
1st Year MA Mathematics

14. QUARTILES, DECILES, AND PERCENTILES
Median is the middle point in the axis frequency distribution
curve, and it divides the area under the curve into two equal
parts, having the same area in the left, and in the right.
On similar basis, the area under the curve may be divided into
four equal areas or parts, called as quartiles. In the same
procedure divide the area for ten equally pieces and each
area is called deciles. Finally where divided the area for
hundred equally pieces and each area is called percentiles.

16. The same procedure for division is done for finding percentiles for any
frequency distributed curve
P1 = first percentile
P2 = second percentile
P3 = third percentile
.
.
.
P99 = ninety ninth percentile
Where:
A1 = A2 = A3 = A4 = . . . .= A100
To find the quartiles, or deciles, or percentiles we follow the same procedure to
fined the median. Arrangement the data in ascending form only.
If numbering arrangement of quartiles, deciles, and percentiles is fraction then its
value is for the number greater than it, if true number the value is the mean of its
and the greater numbers.

17. QUARTILES

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22. DECILES

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28. PERCENTILES

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