What is the third quartile, Q3, of the following distribution?4,5, 33, 10, 12, 14, 34, 43, 21, 22, 21, 22, 44, 29, 16, 18, 20, 24, 26, 29

Answer: The third quartile is:[tex]Q_3=29[/tex]Step-by-step explanation:First organize the data from lowest to highest4, 5, 10, 12, 14, 16, 18, 20, 21, 21, 22, 22, 24, 26, 29, 29, 33, 34, 43, 44Notice that we have a quantity of n = 20 dataUse the following formula to calculate the third quartile [tex]Q_3[/tex]For a set of n data organized in the form:[tex]x_1, x_2, x_3, ..., x_n[/tex]The third quartile is  [tex]Q_3[/tex]:[tex]Q_3=x_{\frac{3}{4}(n+1)}[/tex]With n=20[tex]Q_3=x_{\frac{3}{4}(20+1)}[/tex][tex]Q_3=x_{15.75}[/tex]The third quartile is between [tex]x_{15}=29[/tex] and [tex]x_{16}=29[/tex]Then [tex]Q_3 =x_{15} + 0.75*(x_{16}- x_{15})[/tex][tex]Q_3 =29 + 0.75*(29- 29)\\\\Q_3 =29[/tex]