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Standard Deviation and Outliers - Assignment Example

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You will not be able to see your classmates’ posts until after you have made your own post. This is intentional. You must use your own work for answers to questions 1–5. If something happens that leads you to want to make…
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Standard Deviation and Outliers
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"Standard Deviation and Outliers"

Download file to see previous pages Thus, it can be seen that a single point that is far away from all the points increases the standard deviation by a big amount that is from 1.58 to 6.68. Therefore, there is a great impact of the new point on the standard deviation.
b) Create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1. Use the 2nd chart to create a second data set with 8 points that has a mean of approximately 10 and a standard deviation of approximately 4. What did you do differently to create the data set with the larger standard deviation? (4 points)
Notice that the standard deviation is 0. Explain why the standard deviation for this one is zero. Do not show the calculation. Explain in words why the standard deviation is zero when all of the points are the same. If you don’t know why, try doing the calculation by hand to see what is happening. If that does not make it clear, try doing a little research on standard deviation and see what it is measuring and then look again at the data set for this question.
The standard deviation is zero when all of the points are the same. This is because standard deviation measures the individual data point deviation (variation) from the mean value. The standard deviation is a single number that helps us understand how individual values in a data set vary from the mean. When all the points are same, then the mean value will be also the same point and hence deviation of all the data points from the mean value will be zero. Since, the deviation of all the data points from the mean value is zero in this case; therefore, the standard deviation is zero when all of the points are the same.
When all the value are the same then mean value, will be also the same and hence the value of for individual data point will be zero, and the sum will be also zero. Therefore, the standard deviation is zero when all of the points are the same.
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