Standard Deviation and Outliers

QUESTION

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 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 a 2nd
post for any of your answers to questions 1–5, 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 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.

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
— 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)

ANSWER:

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