IQR: 3
Min: 0
Q1: 2
Median: 4
Q3: 5
Max: 9
Figure 32. Pop-up window for box-and-whisker plot.
If a data file includes both qualitative and quantitative variables, tools of descriptive statistics can be applied to subsets of the data.
For example, the Stat 101 survey questionnaire in Activity 3 in Computer Lab 1 contained two variables—Gender (qualitative) and Grade (quantitative). You will recall that twenty students responded to this survey; in analyzing the survey responses, typically summary measures would be computed, or graphs would be created, for all twenty students.
Another alternative is to break the data into two subsets: a grades subset for male students and a grades subset for female students. Summary measures could then be computed, or graphs created, for each subset, and results of the two subsets could be compared.
The task at hand, then, is to:
Figure 33 shows the StatCrunch output for the measures, mean, median, standard deviation, and 50th and 90th percentiles ( P 50, P 90), in table form.
Figure 33. Mean, Median, Standard Deviation, P50, P90 for Grades
Figure 34 shows the Stat 101 survey.
1. Please check your gender. | Gender | |
☐ male | ______ M | |
☐ female | ______ F | |
2. Please indicate the final grade you expect to achieve in this course. | Grade | ______ |
Figure 34. Stat101 survey.
In Activity 3 in Computer Lab 1, you created the StatCrunch data file Stat101 Survey Responses consisting of the twenty student responses for the two variables Gender and Grade. You then saved this data file to your My Data folder on the StatCrunch website.
Open this data file, following the guided solutions steps below.
Open the Stat101 Survey Responses file from the My Data folder on the StatCrunch website.
Click My Data (see Figure 35.)
Figure 35. My Data Link in MyStatCrunch
Click the STAT101 Survey Responses link to open the STAT101 data table. (See Figure 36)
Figure 36. STAT101 Survey Responses link in your My Data folder on StatCrunch.
Computing the Mean, Median, Standard Deviation, P 50, and P 90 for Student Grades For Male and Female Subsets.
Here, with the STAT101 Survey Responses data file open, you will create the Mean, Median, Standard Deviation, P 50, P 90 table for Grades shown in Figure 33.
In the Percentiles box, type 50, 90. See Figure 37.
Figure 37. Summary Statistics Window: Mean, Median, Standard Deviation, P 50, and P 90 for Grades: Male and Female Subsets
Copy the Mean, Median, Standard Deviation, P 50, P 90 table into your word processing file ComputerLab1B.
Insert the questions below into your ComputerLab1B word processing file, under the Mean, Median, Standard Deviation, P 50, P 90 table you just pasted.
Based on your review of the pasted Mean, Median, Standard Deviation, P 50, P 90 table, type your answers to these questions in the solutions spaces provided. (If you need help answering these questions, see the Solutions section that follows them.)
The mean grade for the female students = _____ and the mean grade for the male students = _____.
Which subgroup of students displayed the greatest variability of grades? Explain.
Interpret the P 50 and P 90 grades for each group of students.
Is the subset of grades for the female students positively or negatively skewed? Interpret this result.
Is the subset of grades for the male students positively or negatively skewed? Interpret this result.
For the female students, the P 50 = 90 and the P 90 = 95. This means that 50% of the female students got 90% or less, while 90% of the female students got 95% or less.
For the male students, the P 50 = 55 and the P 90 = 90. This means that 50% of the male students got 55% or less, while 90% of the male students got 90% or less.
In the next section, you will create separate box-and-whisker plots for the male and female student subsets.
Here, with the StatCrunch data file STAT101 Survey Responses open, you will create box-and-whisker plots for both the female and male subsets of student grades. Figure 38 shows the box-and-whisker plots.
Figure 38. Box-and-whisker plots for female and male subsets of student grades.
Create box-and-whisker plots for both the male and female subsets of student grades.
Figure 39. Boxplot window.
Copy the box-and-whisker plots into your word processing file ComputerLab1B.
With the box-and-whisker plots displayed in the Boxplot window in StatCrunch, quickly determine the six measures for Grades for each subset: Minimum, Maximum, Q 1, Q 2, Q 3, and IQR . Note the guided solution below.
Based on the box-and-whisker plots for each subset in the StatCrunch boxplot, find: Minimum, Maximum, Q 1, Q 2, Q 3, and IQR for each subset.
With the two box-and-whisker plots displayed in the Boxplot window of StatCrunch, place your cursor in the Male Subset box; a small window will pop up as shown in Figure 40.
Gender: M # of values: 12 IQR: 20 Min: 40 Q1: 50 Median: 55 Q3: 70 Max: 95 |
Figure 40. Pop-up window for the box-and-whisker plot for the males subset.
With the two Box-and-whisker Plots displayed in the Boxplot window of StatCrunch, move the cursor to touch the solid part of the Female Subset box and a small window will pop up as shown in Figure 41.
Gender: F # of values: 8 IQR: 12.5 Min: 80 Q1: 82.5 Median: 90 Q3: 95 Max: 95 |
Figure 41. Pop-up window for the box-and-whisker plot for the females subset.
A contingency table is a popular statistical tool used to analyze the relationship between two qualitative survey variables. NOTE: Although this table is not covered in Chapter 2 of your eText, you are responsible for creating and interpreting this type of statistical table in StatCrunch in the Computer Component of this course.
Figure 42 shows a survey questionnaire that was completed by 25 customers who shop regularly at SuperMart, a neighbourhood supermarket. The survey responses have been entered in a StatCrunch data file called SuperMart. This data file is available from the AU Math216 2020 StatCrunch Group folder at statcrunch.com.
1. Please check your gender. | Gender | |
☐ male | ______ M | |
☐ female | ______ F | |
2. Do you typically use the weekly discount coupons offered by SuperMart? | Discount | |
☐ yes | _______Y | |
☐ no | _______N |
Figure 42. SuperMart Survey
Here, you will create a contingency table for the survey responses in the SuperMart data file, with Gender displayed as the row variable, and Discount displayed as the column variable. Display the Row Percents. The completed Contingency Table is shown in Figure 43.
Figure 43. Contingency Table: Gender vs . Discount
According to the contingency table in Figure 43:
Open the SuperMart data file from the Groups folder in StatCrunch.
Create a contingency table, Gender vs . Discount.
Copy the contingency table into your word processing file ComputerLab1B.
Insert the questions below into your ComputerLab1B word processing file, under the contingency table you just pasted.
Based on your review of the pasted contingency table, type your answers to these questions in the solutions spaces provided. (If you need help answering these questions, see the Solutions section that follows them.)
Compare the percent of females typically using the discount coupons with the percent of males typically using discount coupons. (These are called “row percents”.)
Based on the row percents identified in #1 above, what can you state regarding the relationship between Gender and Discount? Explain.
COMMENTS
4 Mathematics 216/ Assignment 6 _____ 8. Please indicate your age. Age _____ Computer-oriented Approach to Statistics 5 Problem 3. Engineering student: Working with data Open the StatCrunch file EngineerStudent file, available in the StatCrunch Math 216 group folder. a. Use StatCrunch to create a Scatterplot with G12Grade on the X axis and ...
Studying Math 216 Computer-Oriented Approach to Statistics at Athabasca University? On Studocu you will find 50 mandatory assignments, 25 lecture notes, 25 practical ... Math 216 Assignment 1. Mandatory assignments 84% (19) 3. MATH216 Assignment 2B. Mandatory assignments 100% (3) 2. MATH216 assign 1A Prob-4. Mandatory assignments 100% (3) 11.
Kingsley Ogundele - Assignment 3B.pdf. Ogundele 1 Kingsley Ogundele MATH 216 Assignment #3B June 23, 2018 Problem 6a Donors P(X) 10 0.06 15 0.09 20 0.16 25 0.19 30 0.22 35 0.28 Problem 6b Ogundele 2 Problem 6c Total number of donor visits per hour = 135 If one nurse can handle 10 donors per h
Mathematics 216 Computer-oriented Approach to Statistics. Study Guide :: Unit 6 Bivariate Analysis ... Computer Lab 6A. ... They are designed to, along with the unit assignments, help you master the content presented in each unit. Each unit self-test has two parts: one on theory (A) and one on computer work (B). Working through these will help ...
Mathematics 216 Computer-oriented Approach to Statistics. Computer Lab 6A with Guided Solutions (Technology Manual)With the aid of the Guided Solutions, you will use StatCrunch to work through each of the following Activities, which relate to the eText's Chapter 9 Correlation and Regression.
Mathematics 216 Computer-oriented Approach to Statistics. Self-Test B (Computer Component) Solutions ... 6a. Construct a frequency table for Age, using 6 bins with a starting value of 20 and a fixed bin width of 5. ... These QRs will be useful when you are preparing for the computer components of the assignments, midterm exam, and final exam ...
(Revision 4) 2 Mathematics 216/ Assignment 6 Assignment 6A. Theory Component Show your work for this component. Do not round off your middle work. Keep your final answer to four decimals, where relevant. Problem 1. Gestation (26 marks) The data below are the gestation periods, in months, of randomly selected animals and their corresponding lifespans, in years.
Computer Lab 6A Quick Review. Quick Review (QR) summarizes a few key steps (but not all steps) needed to complete each Activity in Computer Lab 6A. These QRs will be useful when you are preparing for computer components of assignments, midterm exam, and final exam. Each QR is in italics below. The steps are separated by arrows →. Activity 1.
Based on your score, we will recommend which Athabasca University mathematics course you are likely ready to take successfully. The web-based statistical software used in MATH 216 is compatible with the following operating systems: Windows 10, 8.1. 8, and 7; Mac OS 10.12 - Sierra, 10.11 - El Capitan, 10.10 - Yosemite.
View assign6.pdf from MATH 216 at Athabasca University, Athabasca. (Revision 4) Assignment 6 Assignment 6 consists of a theory component (6A, worth 80%) and a computer component (6B, worth 20%). ... Computer component 15 marks 20% Total marks 75 marks 100% You must submit Assignment 6A and Assignment 6B together as PDFs, through the appropriate ...
Math 216 Assignment 1; part A of assignment 2, math216; MATH216 Assignment 4A; MATH216 Assignment 3A; MATH216 assign 1A Prob-4; MATH216 assign 1A Prob-2; Preview text. Name: Heather Oliver Student ID: 3305503. Assignment 3B Computer Component. 6a. X P(X) 10 0. 15 0. 20 0. 25 0. 30 0. 35 0. 6b. 6c.
View Assigment 3B.pdf from MATH 216 at Athabasca University, Athabasca. Math 216 Kierra Unger Assignment 3B 6a X P(X) 10 0.06 15 0.09 20 0.16 25 0.19 30 0.22 35 0.28 6b Summar
MAT 216 ASSIGNMENT 3B 2 Assignment 3B: Computer Component Problem 6. Blood bank: Statistical methods. Problem 6a. DonorsP(X) 10 0.06 15 0.09 20 0.16 25 0.19 30 0.22 35 0.28 Problem 6b. Problem 6c. Since 1 nurse can handle 10 donors per hour then the number of nurses you expect to need per hour would be affected by the Mean and Standard Deviation of the blood donor visits per hour which is 26 ...
Mathematics 216 Computer-oriented Approach to Statistics. Self-Tests Self-Test 1 Overview. It is important that you work through all the exercises in the unit self tests. They are designed to, along with the unit assignments, help you master the content presented in each unit. No grades are assigned to the self tests.
Remember, on your assignments and examinations, you must always show exactly how you arrived at your answer; if your answer is incorrect, your tutor will be able to tell you exactly where you went wrong. Course Structure. Mathematics 216 is divided into six units, covering descriptive and inferential statistics. Unit 1. Descriptive Statistics
Note: Students enrolled in MATH 216 must have a scientific calculator, which is a calculator that can perform exponential operations. You may wish to use a scientific calculator that has a statistics mode to save computation time. However, you will be required to show all work on assignments and exams through substitution of appropriate values into statistical formulas.
math 216 View More Nomathemba Sibanda 3167184 Assignment 3B Problem 6A Problem 6B Problem 6C The conclusion from the above graph states that the higher the std. dev the more likely the organization will experience are shortage in staff.
Self-Test 6. To access Self-Test 6, click MATH 216 Self-Test 6. It is important that you work through all the exercises in the unit self-tests and the eText chapter quizzes. No grades are assigned to the self-tests. They are designed to, along with the unit assignments, help you master the content presented in each unit.
10 Mathematics 216/ Assignment 4. Problem 9. Generic medicine. A generic medicine that claims to reduce fever and pain comes in 5 oz. bottles. Ted was suspicious about the volume of contents. He measured the volume of 15 randomly selected bottles and noticed that the mean is only 4. oz. with a standard deviation of 0 oz. Is the volume of the ...
Here, you will open the StatCrunch data file Ex2_1-31.txt from the AU Math216 2020 group folder on the StatCrunch website and construct a frequency histogram, following the guided solutions below. The lower limit of the first class is 999.5 and the bin width is 1020. Figure 9. Frequency histogram for July sales.
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2 Mathematics 216/ Assignment 3. 16 8 18 6 20 2 Total 80 50. Figure 1. Lobster dinner data. a. Let X be the number of 2-pound fresh lobster platters ordered by customers on any given evening. Construct a probability distribution for X, based on an analysis of the past 50 supper evenings, as described in the table above. Keep your calculations ...
Mathematics 216/ Assignment 2. 5. Major Motors sells both new and used cars. Past sales records show the following customer purchasing behaviour: 60% of all sales tend to be of new cars, and 40% of used cars. When a new car is sold, there is a 50% chance that the customer will purchase an extended car warranty. When a used car is sold, there is ...