CH 2 Homework

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Apr 27, 2024

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MATH 110+11 – Support Topics for Elementary Statistics Professor DeWilde Chapter 2 Homework Exploring Data with Tables and Graphs In this chapter, you will explore the many different tables and graphs that can be used to help organize and summarize data. Each one has its own advantages, and should be used for specific types of data. Be sure to read all instructions carefully before attempting each problem! As you work through these problems, try to come up with a way to remember the small differences between graphs that look very similar. Use a method that works with your own personal learning style (flashcards, word associations, etc.) Section 2.1 – Frequency Distributions for Organizing and Summarizing Data Section 2.2 – Histograms Section 2.3 – Graphs that Enlighten and Graphs that Deceive Objectives Covered CMO 3 – Interpret data displayed in tables and graphically. Name: Signature: Due Date: Ariel Alvarado Ariel Alvarado 6 March 2022
MATH 110+11 – Support Topics for Elementary Statistics Professor DeWilde 1. The following dataset represents the weights of 39 randomly selected bags of oranges. You will be constructing a relative frequency histogram for the data, starting with a lower class limit of 5.00, and using a class width of 5. Take a look at your Section 2.2 notes for a refresher on how to construct a histogram. Table 1-Weights of Oranges Weights 17.34 16.13 10.26 15.62 15.91 22.08 21.81 31.07 15.96 24.30 10.16 21.25 22.32 28.30 26.31 24.42 12.96 10.35 30.71 9.18 23.90 17.51 16.93 24.48 21.76 11.07 21.66 23.08 14.70 15.08 27.53 21.63 15.41 20.86 17.19 17.76 9.83 33.67 28.28 a. What does it mean to use a class width of 5? - It means to use the difference between consecutive lower-class limits. b. Construct your frequency and relative frequency distributions for the data. Table 2-Frequency Distributions Class Frequency Relative Frequency 9-13 7 0.179 14-18 12 0.308 19-23 11 0.282 24-28 6 0.154 29-33 3 0.077 34-38 0 0 Total 39 1 c. List all types of labels that should appear on your histogram, then construct and properly label your relative frequency histogram. d. What is the shape of your histogram? - The shape of my histogram is a skewed right. 0.308 0.282 0.179 0.154 0.077 14-18 19-23 24-28 29-33 9-13 Label vertical axis Label horizontal axis title Bars Real scale
MATH 110+11 – Support Topics for Elementary Statistics Professor DeWilde e. Which class(es) occurred most often? - Class 14-18 occurred most often. f. Which class(es) occurred least often? - Class 29-33 occurred least. g. Explain why each of the following types of graph cannot be constructed for this dataset. Dotplot: Dotplots cannot be used because there a lot more numbers that you need to work with where the dots will be all over the place, making it confusing to understand. Time-Series Graph: Time-series graph cannot be used because we are not graphing data gathered over time. Bar Graph: A bar graph cannot be used as we are not gathering information on categories of data. Side-By-Side Bar Graph: A side-by-side bar graph cannot be used because our data is not comparing two different types of data, where here we are only working with one. 2. A team of linguistics professors conducted a study to determine the most popular languages to learn in the US. The results for a random sample of adults are displayed below. “Which language would you like to study using Duolingo, a free language-learning platform: Spanish, English, French, Japanese, or German?” Table 3-Languages Chosen to Study English English German English Spanish German Japanese English English English English English English English French French English French Japanese English Japanese German Japanese English French English German Spanish German German a. A student was asked to construct a pie chart for the data, and submitted the graph shown below. Identify and explain the three specific things that the student did incorrectly on the pie chart.
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