Question

What is the third quartile of 24, 20, 35, 43, 28, 36, 29, 44, 21, 37?

Answer 1

`Q_1=24`

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=24,Q_3=37`

Explanation:

`"arrange the data set in ascending order"`

`20color(white)(x)21color(white)(x)color(magenta)(24)color(white)(x)28color(white)(x)29color(red)(uarr)color(white)(x)35color(white)(x)36color(white)(x)color(magenta)(37)color(white)(x)43color(white)(x)44`

`"the median "color(red)(Q_2)" is in the middle of the data set"`

`"in this case that is between 29 and 35 so find the average"`

`rArrcolor(red)(Q_2)=(29+35)/2=32`

`"the lower and upper quartiles divides the set to the left and "`
`"right of the median into 2 equal parts"`

`rArrcolor(magenta)(Q_1)=24" and " color(magenta)(Q_3)=37`