DISCUSSION BOARD FORUM 1/PROJECT 2 INSTRUCTIONS StandardDeviation and Outliers Thread:

For this assignment, you will use the Project 2 ExcelSpreadsheet to answer the questions below. In each question, usethe spreadsheet to create the graphs as described and then answerthe question. Put all of your answers into a thread posted inDiscussion Board Forum 1/Project 2. This course utilizes thePost-First feature in all Discussion Board Forums. This means youwill only be able to read and interact with your classmates’threads after you have submitted your thread in response to theprovided prompt. For additional information on Post-First, clickhere for a tutorial. This is intentional. You must use your ownwork for answers to Questions 1–5. If something happens that leadsyou to want to make a second post for any of your answers toQuestions 1–5, you must get permission from your instructor.

1. A. Create a set of 5 points that are very close together andrecord the standard deviation. Next, add a sixth point that is faraway from the original 5 and record the new standard deviation.What is the impact of the new point on the standard deviation? Donot just give a numerical value for the change. Explain in sentenceform what happened to the standard deviation.

B. Create a data set with 8 points in it that has a mean ofapproximately 10 and a standard deviation of approximately 1. Usethe second chart to create a second data set with 8 points that hasa mean of approximately 10 and a standard deviation ofapproximately 4. What did you do differently to create the data setwith the larger standard deviation?

2. Go back to the spreadsheet and clear the data values fromQuestion 1 from the data column and then put values matching thefollowing data set into the data column for the first graph. 50,50, 50, 50, 50. Notice that the standard deviation is 0. Explainwhy the standard deviation for this one is zero. Do not show thecalculation. Explain in words why the standard deviation is zerowhen all of the points are the same. If you don’t know why, trydoing the calculation by hand to see what is happening. If thatdoes not make it clear, try doing a little research on standarddeviation and see what it is measuring and then look again at thedata set for this question.

3. Go back to the spreadsheet one last time and put each of thefollowing three data sets into one of the graphs. Record what thestandard deviation is for each data set and answer the questionsbelow. Data set 1: 0, 0, 0, 100, 100, 100 Data set 2: 0, 20, 40,60, 80, 100 Data set 3: 0, 40, 45, 55, 60, 100 Note that all threedata sets have a median of 50. Notice how spread out the points arein each data set and compare this to the standard deviations forthe data sets. Describe the relationship you see between the amountof spread and the size of the standard deviation and explain whythis connection exists. Do not give your calculations in youranswer—explain in sentence form. For the last 2 questions, use theProject 1 Data Set. 4. Explain what an outlier is. Then, if thereare any outliers in the Project 1 Data Set, what are they? If thereare no outliers, say no outliers.

5. Which 4 states have temperatures that look to be the mostquestionable or the most unrealistic to you? Explain why youselected these 4 states. For each state, give both the name and thetemperature. Replies: After you have submitted your thread, youwill be able to see your classmates’ threads. Find 2 classmates whodisagreed with at least some part of your answers to Questions 4and 5 and explain why your answers are correct. If you change yourmind about your answers for Questions 4 and 5, explain what youwere thinking originally as well as what you think now and why.Replies must be at least 50 words each. Submit your thread by 11:59p.m. (ET) on Saturday of Module/Week 3. Submit your replies to 2classmates’ threads by 11:59 p.m. (ET) on Monday of the samemodule/week.