Stat 1000Q Mini Tab 1

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University Of Connecticut *

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1000Q

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Statistics

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Feb 20, 2024

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Hanson Zou Stat 10002 Professor Pozdnyakova Mini Tab 1 Please answer all questions using the appropriate version of the dataset as assigned by your TA. Each graph must be labeled with a title, axis labels, and a footnote with your name and section number. Be sure to either print the graphs or copy them to a Word document 1. You have learned two different graphical techniques for displaying qualitative data -- the bar chart and the pie chart. When presenting data graphically you can choose between the two techniques. Sometimes one chart is more appealing than the other. For this example, the data you will be displaying is enrollment data by ethnicity for a particular school at a university. You will use a version of the datafile ETHNIC. a. Do a simple bar chart using C3 (Number) as the Graph variable and C1 (Ethnicity) as the Categorical variable. Be sure to include appropriate labels (title, axis labels, and a footnote with your name and section.) b. Do a pie chart using C1 for the categories and C3 for the Summary variable. Label the pie slices using the percent option. Be sure to use an appropriate title.

c. Which chart do you prefer and why? I prefer the pie chart because it gives a better visual representation of each ethnicity and how many people are in each category. The specific colors and percentages make it easier to understand that the bar chart d. What do these graphs tell you about the ethnicity of the student body? Be specific and include at least four facts that you learned from the chart. These graphs tell us a lot of things about the dotted Y at the university. To begin the university breaks students up into seven different groups to identify their ethnicities. The majority of students are white 70% or 1047 white students. The ethnicity with the smallest percentage of student are non resident/ alien category with 11% the majority group with the most people is Asian students with 12 % or 91 students 2. For this example, you will use a version of the datafile SCHOOL. The data contained in this file is enrollment data by school within a university for the years 1990, 2000 and 2010

a. Do a simple bar chart for the 1990 data Which school had the highest enrollment in 1990? EG had the highest number in 1990 with 1189 students How many students enrolled in the School of Engineering in 1990? 1189 students enrolled b. Do a pie chart for the 2000 data. Enter an appropriate title. Label the pie slices using the category name and the percent option

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What percentage of the students enrolled in the School of Education? 7.8% of students enrolled in the school of education 3. For this example, you will use a version of the data file FINAL. This large data set contains the final grades for two Introductory Statistics classes a. Create a pair of histograms using the same scale. Be sure to label the graph with appropriate titles, footnotes, and axis labels. Maximize and copy each histogram into a Word Document.

b. Write a paragraph comparing and describing the two distributions of grades. Be sure to discuss shape (mound-shaped, skewed, bimodal), spread (max and min), and central tendencies. Histogram # 1 Is approximately bell shaped as shown by the distribution shape shown in the graph. To begin the histogram displays a sample size of 200 with a minimum grade of 54% and the maxim grade of 100%, outcoming a range of 46 it is bimodal with the two peaks, one at 37 final grades in the 78.75-81.25 class, and another at 28 final grades in the 83.75-86.25 class. The mean is 80.06% and the standard evasion is 9.209 Histogram # 2 Is slightly negatively skewed as shown by the distribution shape in the graph. The histogram displays a sample size of 200 with the minimum grade of 43% and a maximum grade of 100% making the range 57. It is unimodal with one peak at 33 final grades in the 77.5-82.5 class. The mean is 75.41% and the standard deviation is 11.97 4. For this example, you will use a version of the file BBSCORE. The file contains points scored by the winners and by the losers and the point spread for 19 different games last season. (Notice that point spread equals Winning Score - Losing Score.) a. Construct a stem-and-leaf display of the point spread data (C3). Copy the graph into your Word document Stem-and-leaf of Spread N = 19 1 0 1 3 0 89 5 1 03 (6) 1 555688 8 2 8 2 8 3 12 6 3 6 5 4 012 2 4 69 Leaf Unit = 1 Provide the data values range. What is the minimum? ___1__ What is the maximum? __49___ What data values are represented by the second row of the stem-and-leaf display? The second row that represents the tens place

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Looking at the stem-and-leaf display, you would conclude that most often the point spread was between which points? The second group 1 occurs most between 15 and 18 Looking at the stem-and-leaf display, determine the number of games in which the point spread was less than 20 points? __11___