## Standard Deviation and Outliers

## Standard Deviation and Outliers

Standard Deviation and OutliersDISCUSSION 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.

Use the spreadsheet to create the graphs as described in each question and then answer the question.

Put all of your answers into a post in the Project 2 Discussion Board Forum.

This course will be utilizing the Post-First feature. You will not be

able to see your classmatesâ posts until after you have made your own

post. This is intentional. You must use your own work for answers to

questions 1â5. If something happens that leads you to want to make a 2nd

post for any of your answers to questions 1â5, you must get permission

from your instructor.

1. a) Create a set of 5 points that are very close together and record

the standard deviation. Next, add a 6th point that is far away from the

original 5 and record the new standard deviation.

What is the impact of the new point on the standard deviation? Do not

just give a numerical value for the change. Explain what happened to the

standard deviation in words. (4 points)

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)

2. Go back to the spreadsheet and clear the data values from question 1

from the data column and then put values matching the following data set

into the data column for the first graph. (8 points)

50, 50, 50, 50, 50.

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 donât 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.

3. Go back to the spreadsheet one last time and put each of the

following three data sets into one of the graphs. Record what the

standard deviation is for each data set and answer the questions below.

Data set 1: 0, 25, 50, 75, 100

Data set 2: 30, 40, 50, 60, 70

Data set 3: 40, 45, 50, 55, 60

Note that all three data sets have a median of 50. Notice how spread out

the points are in each data set and compare this to the standard

deviations for the data sets. Describe the relationship you see between

the amount of spread and the size of the standard deviation and explain

why this connection exists. Do not give your calculations in your answer

â explain in words. (8 points)

For the last 2 questions, use the Project 1 Data set that is found in

Course Content >> Syllabus and Assignment Instructions >>

Assignment Instructions in Blackboard.

4. Explain what an outlier is. Then, if there are any outliers in the

Project 1 Data Set, what are they? If there are no outliers, say no

outliers. (4 points)

5. Which 4 temperatures in the data set look to be the most questionable

or the most unrealistic to you? Explain why you selected these 4

points. (4 points)

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