1.3 Levels of Measurements

The following activities and questions relate to material covered in Chapter 1.3 Levels of Measurements in Introductory Business Statistics (OpenStax).

Data sets for the following questions are available in Excel:1.3 Data Sets [XLSX].

Questions

  1. Between 1953 and 2020, 38 hurricanes have made landfall on Canadian soil. The hurricanes are often downgraded by the time they reach Canada; however, at their strongest force, they receive a category rating to determine the maximum size and intensity of the storm of either Tropical, 1, 2, 3, 4, or 5. Five represents the largest and most ferocious storms, with the title of Tropical given to downgraded storms that more commonly impact Canada.[1] The table below depicts hurricanes at their peak strength before impacting Canada. Use the given data to create a table with columns for frequency, relative frequency, and cumulative frequency for each category of hurricane.
    List of hurricanes in Canada 1950-1999
    Year Name Category
    1953 Carol 5
    1954 Hazel 4
    1955 Connie 4
    1958 Helene 4
    1959 Cindy 1
    1959 Escuminac 1
    1962 Daisy 2
    1963 Ginny 2
    1964 Gladys 4
    1971 Beth 1
    1973 Alice 1
    1975 Blanche 1
    1989 Dean 2
    1990 Bertha 1
    1991 1991 “Perfect Storm” 1
    1995 Luis 4
    1996 Bertha 3
    1996 Huron Tropical
    1996 Hortense 4
    1999 Floyd 4
    List of hurricanes in Canada 2000-2020
    Year Name Category
    2000 Michael 2
    2001 Karen 1
    2002 Gustav 2
    2003 Juan 2
    2005 Ophelia 1
    2007 Noel 1
    2008 Kyle 1
    2009 Bill 4
    2010 Earl 4
    2010 Igor 4
    2011 Irene 3
    2011 Maria 1
    2011 Ophelia 4
    2012 Leslie 1
    2012 Sandy 3
    2014 Arthur 2
    2016 Matthew 5
    2019 Dorian 5
    2020 Isaias 1
    2020 Teddy 4

Solutions

  1. Category Frequency of Hurricanes Relative Frequency Cumulative Frequency
    1 14 0.350 0.350
    2 7 0.175 0.525
    3 3 0.075 0.600
    4 12 0.300 0.900
    5 3 0.075 0.975
    Tropical 1 0.025 1

  1. Data source: Wikipedia. (n.d.) List of hurricanes in Canada. https://en.wikipedia.org/wiki/List_of_Canada_hurricanes 

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