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

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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#