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

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

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Answer 1 · 2017-06-11T01:19:51

$Q_{1} = 24$ $Q_1=24$

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 $1:Edit$ $"1:Edit"$ 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 · 2017-06-11T18:23:09

$Q_{1} = 24, Q_{3} = 37$ $Q_1=24,Q_3=37$

Explanation:

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

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

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

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

$\Rightarrow Q_{2} = \frac{29 + 35}{2} = 32$ $rArrcolor(red)(Q_2)=(29+35)/2=32$

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

$\Rightarrow Q_{1} = 24 and Q_{3} = 37$ $rArrcolor(magenta)(Q_1)=24" and " color(magenta)(Q_3)=37$

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

2 Answers

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