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Organizing Data Supplementary Problems for Beginning Statistics

By — McGraw-Hill Professional
Updated on Aug 12, 2011

Review the following concepts if necessary:

Raw Data

  1. Classify the data described in the following scenarios as qualitative or quantitative. Classify the quantitative data as either discrete or continuous.
    1. The individuals in a sociological study are classified into one of five income classes as follows: low, low to middle, middle, middle to upper, or upper.
    2. The fasting blood sugar readings are determined for several individuals in a study involving diabetics.
    3. The number of questions correctly answered on a 25-item test is recorded for each student in a computer science class.
    4. The number of attempts needed before successfully finding the path through a maze that leads to a reward is recorded for several rats in a psychological study.
    5. The race of each inmate is recorded for the individuals in a criminal justice study.

        Ans.

      1. qualitative
      2. quantitative, continuous
      3. quantitative, discrete
      4. quantitative, discrete
      5. qualitative

Frequency Distribution for Qualitative Data

  1. The following responses were obtained when 50 randomly selected residents of a small city were asked the question "How safe do you think your neighborhood is for kids?"
  2. Give a frequency distribution for these data.

    Ans.   See Table 2.31.

Relative Frequency of a Category and Percentage

  1. Give the relative frequencies and percentages for the categories shown in Table 2.31.
  2. Ans.   See Table 2.32.

  3. Refer to Table 2.32 to answer the following questions.
    1. What percent of the respondents have no opinion, i.e., responded not sure, on how safe the neighborhood is for children?
    2. What percent of the respondents think the neighborhood is very or somewhat safe for children?
    3. What percent of the respondents give a response other than very safe?

        Ans.

      1. 10%
      2. 64%
      3. 52%

Bar Graphs and Pie Charts

  1. Construct a bar graph for the frequency distribution in Table 2.31.
  2. Construct a pie chart for the frequency distribution given in Table 2.31.
  3. The bar graph given Fig. 2-20 shows the distribution of responses of 300 individuals to the question "How do you prefer to spend stressful times?" The graph shown in Fig. 2-20 was produced by STATISTIX.
    1. What percent preferred to spend time alone?
    2. What percent gave a response other than "with friends"?
    3. How many individuals responded "with family," "with friends," or "other"?

        Ans.

      1. 50%
      2. 83.3%
      3. 150
    4. Organizing Data Supplementary Problems

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