Lab3F23-In Person

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Iowa State University *

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255

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Statistics

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Feb 20, 2024

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Group Members: Type all names below: Student 1 (will type answers to questions 1a, 1b, 1e, 1i, 2c, 3c): Student 2 (will type answers to questions 1c, 1f, 1g, 2a, 3a, 3d): Student 3 (will type answers to questions 1d, 1h, 2b, 3b): Group Letter: If you have less than three students in your group, split up the remaining questions among your group. Statistics 104 - Laboratory 3 Descriptive Statistics For Lab 1 data were collected via survey. In this laboratory we will look at summarizing some of the data and interpreting JMP output. Start by going to Canvas and downloading the Survey Results dataset. 1. Student Survey-Height First we will examine the height variable. Follow the JMP-Descriptive Statistics instructions for a Single Quantitative Variable posted on Canvas to compute statistics and create graphs in JMP. a) Include a copy of your JMP output from the Analyze, Dist analysis. See the Guide to General Tasks in JMP posted on Canvas in the JMP Information Module. Answer: b) There are 4 extreme outliers with very short heights. Hover your cursor over the outliers in JMP. JMP will show you the row the observation is in as well as the height. How tall did these 4 students claim to be? Answer: c) How do you think these people reported their heights? What do you believe their actual heights are in cm? Answer: d) Before fixing the outliers, make a guess on how the following statistics will change. Do you think they will increase, decrease, or stay almost the same? Why? Note that these are guesses, you do not have to be correct! i. Median (middle value) – Answer: ii. Mean (average value) – Answer: iii. IQR (range of the middle 50% of the data) – Answer: iv. Standard deviation (average distance from each point to the mean) – Answer: 1

e) To check your answers, fix the 4 students heights in JMP. Recreate the histogram and boxplot. Include a copy of your JMP output. Answer: f) Were you correct in your guesses? Answer: g) Which summary is more appropriate for height, (1) the sample median with the sample IQR or (2) the sample mean with the sample standard deviation? Support your choice statistically Answer: h) Describe the distribution of height. Note 1: When discussing the distribution of a quantitative variable you must touch on the following four items: shape, center, spread, and presence/absence of outliers. Provide values when appropriate. Note 2: You should also include your unit of measurement. Note 3: Do not just give a laundry list! Describe the distribution in sentences, describe what the values mean, describe where (if any) the outliers are… Answer: i) What is the five number summary for Height? Answer: 2. Student Survey-Circle Game As part of the survey, students played the Circle Game at https://vole.wtf/perfect-circle/ . There are three variables:  Circle Time 1: Students were asked to practice 5 times and report their score on the 6 th game.  Circle Time 2: Students were asked to play as many times as they wanted and to report their highest score.  Amount Played: Students reported how many times they played the game. Choose one of the three variables. Compute statistics and create graphs in JMP for your chosen variable. a) Include a copy of your JMP output from the Analyze, Dist analysis. Answer: b) Which summary is more appropriate for your chosen variable, (1) the sample median with the sample IQR or (2) the sample mean with the sample standard deviation? Support your choice statistically. 2

Answer: c) Describe the distribution of your chosen variable. Make sure to remember the notes provided to you in the previous question 1g. For your measures of center and spread, you should use your choices from Question 2b. Answer: 3. Student Survey- Circle Game and Device Now we will compare the circle variable you chose in Question 2 for the different device types. Follow the JMP-Descriptive Statistics instructions for a Quantitative Variable Split by Categories posted on Canvas to compute statistics and create graphs in JMP. a) Include a copy of your JMP output from the Analyze, Dist analysis (don’t forget to split the graph by device type using the By option in JMP and change the axis scales to be the same). You may ignore the first graph that reported which displays statistics for students who did not report their device type. Answer: b) Include a copy of your JMP output from the Fit Y by X analysis. Answer: c) Describe how the distributions of your chosen variable differ for the three device types. Note that when discussing the distribution of a quantitative variable you must touch on the following four items: shape, center, spread, and presence/absence of outliers. Use the appropriate graphs and statistics you created. Answer: d) The default in JMP for histograms does not put the x-axes on the same scale when using Analyze, Dist . Why was it important to change the minimum and maximum values on the x-axis of the histograms? Answer: 3

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