0
Find the inter quartile range, which is IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile. Then find these two numbers:
a) Q1 - 1.5*IQR
b) Q3 + 1.5*IQR
Any observation that is below a) or above b) can be considered an outlier.
edit: Chadwick, quartiles are considered robust, meaning that they are not highly effected by outliers. This is because it takes location into account, not the values. Let's look at your data set (sorted).
2 3 6 9 13 18 21 106
position of Q1 = (8+1)/4 = 2.25
Q1 = 0.75(3)+0.25(6) = 3.75
position of Q2 = (8+1)/2 = 4.5
Q2 = (9+13)/2 = 11
position of Q3 = 3(8+1)/4 = 6.75
Q3 = 0.25(18)+0.75(21) = 20.25
Notice that none of these actually use the value 106. Let's continue.
So IQR = Q3-Q1 = 20.25-3.75 = 16.5
Q1-1.5*IQR = 3.75-1.5*16.5 = -21
Q3+1.5*IQR = 20.25+1.5*16.5 = 45
No numbers are below -21, but 106 is above 45, so it can be considered an outlier.
Hope I helped!! ((:
Still curious? Ask our experts.
Chat with our AI personalities
Lao
Ezra
TaigaAdd your answer:
Earn +20 pts
How do you find an outlier?
It is the biggest or lowest number out of the set. The number would be way different than the rest. Example: 14 12 52 17 19 The outlier would be 52 because it is the biggest number. Example: 59, 42, 77, 65, 10 The outlier would be 10 because it is the lowest number.
What is the outlier of 13 18 20 5 15 20 13 20?
5. This is the number which is the furthest from the others.
What is an outlier in a line-plot?
A number that is different from any other numbers in the data.!
Can a outlier be zero?
0s are not the outlier values
What would happen if a outlier was removed from the mean?
The answer depends on the nature of the outlier. Removing a very small outlier will increase the mean while removing a large outlier will reduce the mean.
Which number is the outlier in this data set 91232811?
There cannot be an outlier in a dataset that comprises only one number!
What is the definition of outlier and give an example?
An outlier is a number that is noticeably larger or smaller than the other numbers. Example- {3,4,5,6,7,8,9,50,3,2,5,6,7} the number 50 is the outlier. It is basically the one that does not belong.
What is an outliers numbers?
An outlier is a number that is not around a group of number. ex. 4,5,6,7,8,100 see 100 is not near the other numbers so it is an outlier, but remember the outlier can more or less tan the others
What is the outlier of this data 615182021222425282930?
i can not tell you need to space it out and to find outlier try using a box and whisker plot. and if it is just one number there is no outlier
How do you identify Outlier?
Outliers are a number that are way out of the data range. They are pretty obvious to pick out; for example: 1,3,4,4,6,3,2,8,26,5,2,1 The outlier would be the number 26.
What is a larger number or amount called?
An outlier
Is a number a outlier if there is two of them?
Yes, both of them will be outliers.
What is a number that is not typical of the rest of the date set is an?
An outlier.
What does an outlier mean in a math problem?
An outlier is a number completely different from the rest in a set of data.For example, in the set:13, 17, 22, 15, 19, 11, 342, 14342 is the outlier.
What does outlier?
oulier means something that sticks out in math, like in the number 50, 51, 53, 54, & 100... 100 is the outlier
How does an outlier affect the range of a data set?
An outlier can make the range go up.Example:say you have the numbers. 2,5,4,1,7,and 18.in order from least to greatest: 1,2,4,5,7,18range is the greatest number - the littlest number.so in this case it is 18-1 which equals 17say if there was no outlier and the highest number was 7it would be 7-1 which is 6 and it makes the outlier smaller....
How do you find an outlier?
It is the biggest or lowest number out of the set. The number would be way different than the rest. Example: 14 12 52 17 19 The outlier would be 52 because it is the biggest number. Example: 59, 42, 77, 65, 10 The outlier would be 10 because it is the lowest number.
