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15.2.1: Chapter 2 Homework

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    28304
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    1. Identify the following data by type (categorical, discrete, continuous)
      1. Number of tickets sold at a rock concert.
      2. Make of automobile.
      3. Age of a fossil.
      4. Temperature of a nuclear power plant core reactor.
      5. Number of students who transfer to private colleges.
      6. Cost per unit at a state University.
      7. Letter grade on an English essay.
    2. Identify the following level (nominal, ordinal, interval, ratio)
      1. Number of tickets sold at a rock concert.
      2. Make of automobile.
      3. Age of a fossil.
      4. Temperature of a nuclear power plant core reactor.
      5. Number of students who transfer to private colleges.
      6. Cost per unit at a state University.
      7. Letter grade on an English essay.
    3. 1038 Americans were asked, “What is your favorite sport to watch?” The results were summarized into a pie graph.

    clipboard_e5a8c35c3c1be6a5ea8fdcd154f8b2995.png

    1. Interpret the pie graph.  
    2. Do you think a different graph would have a clearer way to show this data? Explain.
    3. Using the same data create a bar graph. Instead of labeling each bar with counts, use percentages.
    4. Compare the bar graph to the pie graph. In your opinion, which of these two graphs better explains the data?
    1. The following average daily commute time (minutes) for residents of two cities are shown in the table.

    clipboard_e117826e96a50419ccad8a74e0bceb143.png

    1. Construct a back‐to back stem and leaf diagram.
    2. Describe the center, shape and spread of each city.
    3. What is similar about each city, and what is different?
    1. The February 10, 2017 Nielsen ratings of 20 TV programs shown on commercial television, all starting between 8 PM and 10 PM, are given below:

    clipboard_e30e74bd4b777f932cca76525022adcb7.png

    1. Graph a stem and leaf plot with the tens and ones units making up the stem and the tenths unit being the leaf.
    2. Group the data into intervals of width 2, starting with the 1st interval at 2, and obtain the frequency of each of the intervals.
    3. Graphically depict the grouped frequency distribution in part b by a histogram.
    4. Obtain the relative frequency, cumulative frequency and cumulative relative frequency for the intervals in part b.
    5. Construct an ogive of the data. Estimate the median and quartiles.
    1. The following data represent the median monthly rent from 2005 to 2015 for a studio apartment in the US, California and Santa Clara County. Create line graphs of US, California and Santa Clara County rents on the same graph. Make three interpretations from the graphs.

    clipboard_e7d24b38012fe1f111fc6a6a372e1d820.png

    1. The two frequency histograms represent the ages of 78 Male US Senators and 22 Female US Senators. Ages were evaluated on October 20, 2017.

    clipboard_e1b194e57733fd739a109160d4223f1ae.png

    1. Estimate the center of each graph. Does there seem to be a difference in average age due to gender in the US Senate?
    2. Estimate the range of each graph. there seem to be a difference in age spread due to gender in US Senate
    3. Is there a difference in shape between the two graphs?
    4. Senator Diane Feinstein of California, who is 84 years old, represents an outlier among the females. Would your answers to parts a, b or c change if Senator Feinstein were removed from the data? Explain.
    1. An experiment was conducted on string bean plants. The plants were broken into three groups. The first group was given Fertilizer 1, the second group was given Fertilizer 2, and the third group was given no fertilizer. After 2 months, the heights in inches were measured with results shown in the dot plot. From the dot plots, describe the center, spread, shape and unusual features of each group, and then make an overall statement about the fertilizers.

    clipboard_e163a774902d0dbd505c42846d65812ec.png


    This page titled 15.2.1: Chapter 2 Homework is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Maurice A. Geraghty via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.