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

1 Answer
Jan 7, 2018

"range"=6

IQR=4

Explanation:

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