How do you calculate 30th percentile

If more than one value falls in the 90th place, their average is taken. We need to repeat the same process for the 90th percentile.

Given data: 1,2,5,5,7,7,9,11,11,12,12,13,15,16,17,17,18,19,20,20 Since there are 20 numbers in the data. Therefore, the values of the 30th and 90th percentiles of the data are 7 and Data Input: 1,2,3,4,5,6,7. The p th percentile is the value in a set of data at which it can be split into two parts.

The lower part contains p percent of the data, and the upper part consists of the remaining data; i. You can use the following process to manually determine the p th percentile of a set of data. If i is not an integer, round it up. Count the numbers in your data set from left to right from the smallest to the largest number until you reach the value from Step 3a.

This corresponding number in your data set is the kth percentile. Given the following data set with an even number of values: ,,,,,,,,,you correctly caculated 3 which is a whole number. Step 4 says to count from left to right until you reach the third number which is Additionally step 4 says to average and the next number in the set which is You get Therefore the 30th percentile of this data is Now for the set ,,,,,,,,,, you correctly figured 3.

Step 3b says to count from left to right until you get to the 4th number which is In practice, with such a small data set, using percentiles isn't particularly useful.

So it's really an artificial test question. I'd say if the test question allows free-form answer, you should demonstrate that you know the general concept of percentiles, and also that you know it's controversial. The answer then would be "either , or , or , depending on the calculation method chosen. Predictable at least. Take your best guess, and if it matters enough, be prepared to appeal. Arrange the numbers in ascending order and give the rank ranging from 1 to the lowest to 7 to the highest.

The integer part of R is 2 , calculate the score corresponding to the ranks 2 and 3. They are 4 and 7. The product of the difference and the decimal part is 0. Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.

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