Question

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

Answer 1

`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 :)

Answer 2

`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`