Third Option
![Q_1=3](/tpl/images/0114/4349/418ff.png)
![Q_3=6](/tpl/images/0114/4349/2b591.png)
Step-by-step explanation:
Notice that we already have the data sorted from least to greatest.
Now to find Q1 and Q3 we can use the following formulas
For a set of data ordered from least to greatest of the form ![X_1, X_2, ..., X_n](/tpl/images/0114/4349/ac342.png)
Where n is the total number of data
![Q_1=X_{\frac{1}{4}(n+1)}](/tpl/images/0114/4349/a9637.png)
In this case ![n=10](/tpl/images/0114/4349/d82fb.png)
So:
![Q_1=X_{\frac{1}{4}(10+1)}](/tpl/images/0114/4349/7dd93.png)
![Q_1=X_{2.75}](/tpl/images/0114/4349/4cfd4.png)
Round the nearest whole and get:
![Q_1=X_{3}](/tpl/images/0114/4349/28993.png)
![Q_1=3](/tpl/images/0114/4349/418ff.png)
For
we have:
![Q_3=X_{\frac{3}{4}(n+1)}](/tpl/images/0114/4349/5a53a.png)
![Q_3=X_{\frac{3}{4}(10+1)}](/tpl/images/0114/4349/def38.png)
![Q_3=X_{8.25}](/tpl/images/0114/4349/d11f6.png)
Round the nearest whole and get:
![Q_3=X_{8}](/tpl/images/0114/4349/b836e.png)
![Q_3=6](/tpl/images/0114/4349/2b591.png)