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

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

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Answer 1 · 2017-06-11T01:09:39

$Q_{1} = 15$ $Q_1=15$

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 $1:Edit$ $"1:Edit"$ and go ahead and enter your values in order
After this press the stat button again and go to $CALC$ $"CALC"$
and hit $1:1-Var Stats$ $"1:1-Var Stats"$ press calculate.
Then scroll down until you see $Q_{1}$ $Q_1$ .
That value is your answer :)

Answer 2 · 2017-06-12T10:06:47

$Q_{1} = 15$ $Q_1=15$

Explanation:

$arrange the data set in ascending order$ $"arrange the data set in ascending order"$

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

$the median Q_{2} is the middle value of the$ $"the median "color(red)(Q_2)" is the middle value of the"$
$data set in ascending order$ $"data set in ascending order"$

$\Rightarrow Q_{2} = 19$ $rArrcolor(red)(Q_2)=19$

$the lower quartile Q_{1} is the middle value of the$ $"the lower quartile "color(magenta)(Q_1)" is the middle value of the"$
$data set to the left of the median$ $"data set to the left of the median"$

$\Rightarrow Q_{1} = 15$ $rArrcolor(magenta)(Q_1)=15$

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

2 Answers

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