eMathematician
Forums
Formulary
Log in Sign up
       
« HomeProbability and statistics84

Find lower and upper quartiles of the data set. Interquartile range


Here we have a data set: 3, 5, 3, 4, 7, 8, 2, 3, 8, 2, 1, 5. Find lower and upper quartiles of this data set. Then calculate an interquartile range.

0

First of all, we put the list of numbers in order: $$1,2,2,3,3,3,4,5,5,7,8,8$$ Then we cut the list of numbers into four equal parts: $$1,2,2,|\ 3,3,3,|\ 4,5,5,|\ 7,8,8$$ $$\text{Lower quartile }(Q_1)=\frac{2+3}{2}=2.5$$ $$\text{Upper quartile }(Q_3)=\frac{5+7}{2}=6$$ $$\text{Interquartile Range }(Q_3-Q_1)=6-2.5=3.5$$

0

If you want to write answers, you have to login!