This calculator finds any percentile of a set of numbers, along with the median and quartiles, so you can understand where values sit within a distribution. A percentile tells you the value below which a given percentage of the data falls: the 90th percentile is the value that 90 percent of the data is at or below, which is why percentiles are used everywhere from exam results and growth charts to salary bands, response times and house prices. They are far more informative than an average when data is skewed, because they describe the spread and position rather than just the centre. You paste or type your numbers, separated by spaces, commas or new lines, and choose the percentile you want, and the calculator returns that percentile value, plus the median, the first quartile and the third quartile for context, and the number of data points. It sorts your data and uses linear interpolation between the closest ranks, the standard method, so the result is accurate even when the percentile falls between two data points. The results update as you change the data or the percentile, so you can probe the distribution quickly. Use it to interpret test scores, to set or understand pay bands, to find a cutoff such as the top 10 percent, or to summarise any dataset. Percentiles pair naturally with the quartiles and interquartile range for a full picture of the spread. The calculation is exact for the numbers you enter, with the result rounded for display.
Uses the standard linear-interpolation method on your sorted data. Pair with quartiles and IQR for the full spread. Rounded for display.
The numbers are sorted in ascending order. For a percentile k, the rank is k over 100 times one less than the count, giving a position that may fall between two values. The result interpolates linearly between the values at the positions either side of that rank. The median is the 50th percentile and the quartiles are the 25th and 75th.
For the data 12, 18, 25, 33, 41, 47, 52, 60, 68, 75 (ten values), the 90th percentile rank is 0.9 times 9, which is 8.1, between the ninth value 68 and the tenth 75. Interpolating gives 68 plus 0.1 of the gap to 75, about 68.7. The median is the average of the fifth and sixth values, 44, with the first quartile about 27 and the third quartile about 58.
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