4 Data exploration
4.6 Exercises

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  1. Indicate whether each of the following variables is discrete or continuous:
    1. the time it takes for you to get to school
    2. the number of Canadian couples who were married last year
    3. the number of goals scored by a women’s hockey team
    4. the speed of a bicycle
    5. your age
    6. the number of subjects your school offered last year
    7. the length of time of a telephone call
    8. the annual income of an individual
    9. the distance between your house and school 
    10. the number of pages in a dictionary 
    Answer 1
  2. A local convenience store owner records how many customers enter the store each day over a 25-day period. The results are as follows:
    20, 21, 23, 21, 26, 24, 20, 24, 25, 22, 22, 23, 21, 24, 21, 26, 24, 22, 21, 23, 25, 22, 21, 24, 21
    1. Present these data in a frequency distribution table.
    2. Which result occurs most frequently?
    3. Set up a frequency distribution table including columns for the relative frequency and percentage frequency of the data.
    Answer 2
  3. Forty students took a math test marked out of 10 points. Their results were as follows:
    9, 10, 7, 8, 9, 6, 5, 9, 4, 7, 1, 7, 2, 7, 8, 5, 4, 3, 10, 7, 3, 7, 8, 6, 9, 7, 4, 2, 3, 9, 4, 3, 7, 5, 5, 2, 7, 9, 7, 1
    1. Prepare a frequency table of the scores.
    2. Using the frequency table, calculate the mean, median and mode.
    3. Interpret these results.
    Answer 3
  4. The following table outlines hypothetical numbers of new hires at a large organization over a ten-year period: 
    Table 4.6.1
    Hypothetical number of new hires
    Table summary
    This table displays the results of Hypothetical number of new hires. The information is grouped by Year (appearing as row headers), Number of new hires (appearing as column headers).
    Year Number of new hires
    1 266
    2 231
    3 223
    4 262
    5 260
    6 230
    7 191
    8 182
    9 165
    10 153
    1. Find the range.
    2. Calculate the interquartile range.
    3. Calculate the five-number summary.
    4. Draw a box and whisker plot for this data.
    Answer 4


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