How do you find the range and interquartile range for 2, 4, 8, 3, 2?

Question

3370 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-07T18:23:02

$"range"=6$

$IQR=4$

first arrange the numbers in numerical order

$2,2,3,4,8$

the range $=$ the largest value $-$ the smallest value

$"range"=8-2=6$

for the interquartile range we need to find the median then split each half of the data set into half again

$2,2,color(red)(3),4,8$

median $=3$

the lower quartile is the middle of the lower half

$color(blue)(2,2),color(red)(3),4,8$
$" color(blue)(uarr)$

in this case

$LQ=(2+2)/2=2$

similarly for the Upper quartile

$2,2,color(red)(3),color(blue)(4,8)$
$" "color(blue)(uarr)$

$UQ=(4+8)/2=6$

$: IQR=6-2=4$