Question
In: Statistics and Probability
by using an example, explain how standard deviation can be affected by removing outliers
by using an example, explain how standard deviation can be affected by removing outliers
Solutions
Expert Solution
The standard deviation is a measure of variability or dispersion of a data set about the mean value. An outlier in the data set will increase the standard deviation of the data set. The data set should be free from outliers for the least standard deviation.
Answer and Explanation:
The standard deviation of a distribution is defined as:
σ=√∑(xi−μ)2nσ=∑(xi−μ)2n
The standard deviation provides the deviation from the mean value of the distribution. If the data set consists outliers then the deviation from the mean will be high and it will cause the result of high standard deviation.
So to brief it out ... If we remove or eliminate the outliers(extreme values) from the data set ,the standard deviation of the data becomes considerably lower and the precesion of the data becomes more .
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Thank you :)
orchestra answered 2 years agoRelated Solutions
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Instructions
Standard Deviation and Outliers
Thread:
For this assignment, you will use the Project 2 Excel
Spreadsheet to answer the questions below. In each question, use
the spreadsheet to create the graphs as described and then answer
the question.
Put all of your answers into a thread posted in Discussion Board
Forum 1/Project 2.
This course utilizes the Post-First feature in all Discussion
Board Forums. This means you will only be able to read and...
Discussion Board Forum 1/Project 2 Instructions Standard Deviation and Outliers Thread: For this assignment, you will...
Discussion Board Forum 1/Project 2
Instructions
Standard Deviation and Outliers
Thread:
For this assignment, you will use the Project 2 Excel
Spreadsheet to answer the questions below. In each question, use
the spreadsheet to create the graphs as described and then answer
the question.
Put all of your answers into a thread posted in Discussion Board
Forum 1/Project 2.
This course utilizes the Post-First feature in all Discussion
Board Forums. This means you will only be able to read and...
DISCUSSION BOARD FORUM 1/PROJECT 2 INSTRUCTIONS Standard Deviation and Outliers Thread: For this assignment, you will...
DISCUSSION BOARD FORUM 1/PROJECT 2 INSTRUCTIONS Standard
Deviation and Outliers Thread:
For this assignment, you will use the Project 2 Excel
Spreadsheet to answer the questions below. In each question, use
the spreadsheet to create the graphs as described and then answer
the question. Put all of your answers into a thread posted in
Discussion Board Forum 1/Project 2. This course utilizes the
Post-First feature in all Discussion Board Forums. This means you
will only be able to read and...
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