Page 19 - Math SL HB Sem 3

Outlier (extreme value) in a data set is denoted by a cross on a box-and-whisker diagram'
When outlie(s) is (are) present but full data are unavailable, we plot the diagram as follows

Qr Qz Qs outlier
outlier
X I x

Largest value that is
Smallest value that is
not an outlier
not an outlier
OR the uPPer
OR the lower
boundary for outlier boundary for outlier
Outlier is deflned as more than 1 5 x IQR from the nearest quartile.

Histogram:

Histogramslooklikebarchartsbuttherearenogapsbetweenbars.
in"vir" ,""J t" represent grouped or continuous data'
vs variable t
) FrequencY
FrequencY

frequencY
.r
25
0<.r<20 20
20<x<4O 25 20
40Sr<60 20 15
60<r<80 18 1
80<x<100 9 10
100<r<120 5 5
x
0 20 40 60 80 100 120

) FrequencY density vs variable 'r

frequencY Frequencv
FrequencY densitY = class width density Area c< frequenry

FrequencY
class
x FrequencY densitY
width 7.2s
1.00
1.00 0.75
0.90
0.50
80<x<100 20 0.45 0.25 t
100<r<120 20 5 0.25
0 20 40 60 80 1oo 120

etl