We appreciate your visit to The data set shows the number of stamps that each of 10 stamp collectors brought to a show 71 84 133 140 158 166 170. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Only 71 is an outlier.
Thanks for taking the time to read The data set shows the number of stamps that each of 10 stamp collectors brought to a show 71 84 133 140 158 166 170. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Answer:
Only 71 is an outlier.
Step-by-step explanation:
The give data is
71, 84, 133, 140, 158, 166, 170, 171, 188, 198
Divide the data in two equal parts.
(71, 84, 133, 140, 158), (166, 170, 171, 188, 198)
Now, divide each parenthesis in two equal parts.
(71, 84), 133, (140, 158), (166, 170), 171, (188, 198)
It means first quartile is 133 and third quartile is 171.
The interquartile range is
[tex]IQR=Q_3-Q_1=171-133=38[/tex]
If the data lies outside the range [tex][Q_1-1.5(IQR),Q_3+1.5(IQR)][/tex], then the data set has outliers.
[tex][Q_1-1.5(IQR),Q_3+1.5(IQR)]=[133-1.5(38),171+1.5(38)][/tex]
[tex][Q_1-1.5(IQR),Q_3+1.5(IQR)]=[76,228][/tex]
It means if the data lies outside the interval [76,228], then it is an outlier.
Since 71∉[76,228], therefore only 71 is an outlier.
