How to Find a Quartile of an Odd Amount of Data?

Lower-Quartile

• 1

  Write the odd-number data set you want to analyze. For example, write "3,4,5,6,7."

• 2

  Count the number of values in your data set. For example, there are five values in the data set "3,4,5,6,7."

• 3

  Find the product of the number of values in your data set and 0.25 using a calculator. Continuing with the data set "3,4,5,6,7," for example, you would multiply 5 x 0.25 = 1.25.

• 4

  Round your answer up to the nearest whole number. For example, the nearest whole number when rounding up from 1.25 is 2. Note that your answer represents the value in your data set that is the lower quartile of the data set. The second value in your data set is 4. The value 4 is the lower quartile of your odd-number data set.

Upper-Quartile

• 5

  Write the odd-number data set you want to analyze. For example, write "3,4,5,6,7." Count the number of values in your data set. In this case, there are five values in your data set.

• 6

  Find the product of the number of values in your data set and 0.75 using a calculator. For example, 5 x 0.75 = 3.75.

• 7

  Round your answer up to the nearest whole number. For example, the nearest whole number when rounding up from 3.75 is 4.

• 8

  Recognize that your answer represents the value in your data set that is the upper quartile of your data set. The fourth value in your data set is 6. This represents the upper quartile of your odd-number data set.