1. Indicate whether the variable is qualitative or quantitative and the level of measurement for the variable (nominal, ordinal, interval, or ratio).
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Variable
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Qualitative
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Quantitative
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Nominal
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Ordinal
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Interval
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Ratio
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Color vision status - colorblind or not colorblind
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Anxiety rating - highly anxious, moderately anxious, relaxed
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Temperature in degrees Celsius
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Annual salary of Bill Gates
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True or False:
_ Probability is a value between zero and one, inclusive, describing the relative possibility (chance or likelihood) an event will occur.
___ The Social Studies teacher received the following scores from her students: 100, 34, 88, 75, 30, 90. The range in this data set is calculated by subtracting the lowest value from the highest value.
___The median is the value in the middle of a set of ordered data.
___The mode is the value that occurs least often in a set of data.
Shown in the table below are the unemployment compensation maximums for a number of states some 25 years ago. What is the mode in this table?
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State
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Maximum Weekly Benefit Amount
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State
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Maximum Weekly Benefit Amount
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Alabama
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$90
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Montana
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$81
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Alaska
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90
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Nebraska
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80
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Arizona
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85
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Nevada
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88
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Arkansas
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92
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New Hampshire
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95
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California
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90
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New Jersey
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90
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Colorado
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108
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New Mexico
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71
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Connecticut
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104
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New York
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95
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Delaware
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105
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North Carolina
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90
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Florida
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82
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North Dakota
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86
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Georgia
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90
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Ohio
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82
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Hawaii
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104
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Oklahoma
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86
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Idaho
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90
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Oregon
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95
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Texas
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63
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Washington
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93
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Utah
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101
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Wyoming
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84
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Vermont
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91
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West Virginia
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115
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Virginia
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87
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Wisconsin
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113
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Determine the range for the following sets of measurements.
- 10, 8, 6, 0, 8, 3, 2, 2, 8, 0
- 1, 3, 3, 5, 5, 5, 7, 7, 9
- 20, 1, 2, 5, 4, 4, 4, 0
- 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
For which of these is the range a misleading index of variability? Why?