What is the first quartile of 12, 33, 15, 22, 29, 11, 17, 19, 16, 24, 38?

2 Answers
Jun 11, 2017

Q_1=15

Explanation:

If you have a TI-84 calculator in hand:
You can follow these steps:
First put the numbers in order.
Then you press the stat button.
Then "1:Edit" and go ahead and enter your values in order
After this press the stat button again and go to "CALC"
and hit "1:1-Var Stats" press calculate.
Then scroll down until you see Q_1.
That value is your answer :)

Jun 12, 2017

Q_1=15

Explanation:

"arrange the data set in ascending order"

11color(white)(x)12color(white)(x)color(magenta)(15)color(white)(x)16color(white)(x)17color(white)(x)color(red)(19)color(white)(x)22color(white)(x)24color(white)(x)29color(white)(x)33color(white)(x)38

"the median "color(red)(Q_2)" is the middle value of the"
"data set in ascending order"

rArrcolor(red)(Q_2)=19

"the lower quartile "color(magenta)(Q_1)" is the middle value of the"
"data set to the left of the median"

rArrcolor(magenta)(Q_1)=15