How do you find the first and third quartiles of 14, 4, 13, 18, 8, 15, 8, 3, 11, 8?

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Answer 1 · 2017-09-20T13:30:51

$1st" quartile "=8$

$3rd" quartile"=14$

Firstly you need to arrange the numbers in order

$3, 4,8,8,8,11,13,14,15,18$

next find the Median, we have $10$ number so the median is in the middle of the $" "5th" "$ & $" "6th" "$ numbers

$3, 4,8,8,8,color(blue)(M)11,13,14,15,18$ ,

the $1st" quartile "$ is the middle number of the lower half.

$3, 4,color(red)(8),8,8,color(blue)(M)11,13,14,15,18$ ,

the third quartile is the middle of the top half

$3, 4,color(red)(8),8,8,color(blue)(M)11,13,color(green)(14),15,18$ ,

we have

$1st" quartile "=8$

$3rd" quartile"=14$