HERE I'VE GIVE THE DESCRIPTION ABOUT OUTLIERS AND IT'S TYPES WITH SOME EXAMPLE.
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3. Introduction to Boxplot
What is Box plot
Representing the data
Via Boxplot
Affect on Mean, Median, Mode
Example & theory
What Are The Outlier
Definition & Example
Types of outliers
Describing 3 types
Reason for Outliers
4 reason for outliers
How to Find Outliers
Steps & Example
SLIDE 3
SLIDE 16
SLIDE 15
SLIDE 11
SLIDE 10
SLIDE 7
SLIDE 14
4. What Are The Outliers ?
Outliers are extreme values.
Extremely high or low values in a data set.
In a data set outliers may include sample maximum or minimum or
both.
It indicate that distribution is heavy tailed or highly skewed.
8. a. Global outliers .
when a data object differ from the rest of the given data
kkkset, it is considered to be global outliers.
b. Contextual outliers.
A contextual is a data object anomalous within its context
kkkor its neighborhood.
c. Collective outliers.
if a collection of related data instance is anomalous with
kkkrespect to the entire data set, it is termed as a collective
kkkoutliers.
10. Reason For Outliers ?
Data entry error.
Instrumental error.
System faults.
Measurement error.
11. How To Identify Outliers ?
A data value less than Q1 – 1.5(IQR) or greater
than Q3 + 1.5(IQR) can be considered an
outlier.
12. Steps To Find Outliers
Arrange the data in order from lowest to highest and find Q1 and Q3.
Find the interquartile range (IQR) Q3 – Q1.
Multiply IQR by 1.5.
Subtract step 3 from Q1 and add in Q3.
Check the data set for any data value that is smaller than Q1 – 1.5(IQR) or
larger than Q3 + 1.5(IQR)
13. 1. Arrange the data & find Q1, Q3 .
7, 10, 11, 15, 25, 30, 35, 68
Q1. = 10.5 Q3 = 32.5
2. Find the IQR (Q3 – Q1)
= 32.5 – 10.5
= 22
3. Multiply IQR by 1.5
= 33
4. Subtract IQR from Q1 & add in Q3 10.5 – 33 = -22.5
32.5 + 33 = 65.5
5. Check the data set for any data value that is smaller than Q1 – 1.5(IQR) or larger than Q3 + 1.5(IQR).
68 is the outliers
Example
10, 11, 15, 25, 35, 30, 7, 68
14. Box Plots At A Glance
Outliers
Outliers
Min.
value
Max.
value
Q3
Q2
&
Median
Q1
Q3 – Q1
IQR
15. Represent In Box Plot
Q1. = 10.5
Q2 = 20
Q3 = 32.5
Outlier = 68
Min value = 7
Max value = 35
7(Min)
10.5(Q1 ) 20(Q2 ) 25(Q3)
35(Max)
68(Outliers)
Median
18. Affects
Mode is not affected by outlier.
Median is also not so affected.
Mean is more affected as mean depends on average of all data.
• Low outlier tend to shift mean more negatively than median.
• High outlier tend to shift mean more positively than median.
19. QUOTE
A single death is a
tragedy; a million deaths
is a statistics.
- Joseph Stalin
Thank you…