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# Scales of measurement, True/False, Mode, Range

1. Indicate whether the variable is qualitative or quantitative and the level of measurement for the variable (nominal, ordinal, interval, or ratio).

Variable
Qualitative Quantitative Nominal Ordinal Interval Ratio
Color vision status - colorblind or not colorblind

Anxiety rating - highly anxious, moderately anxious, relaxed
Temperature in degrees Celsius
Annual salary of Bill Gates

2) 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.

3) 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?

State Maximum Weekly Benefit Amount State Maximum Weekly Benefit Amount
Alabama \$90 Montana \$81
Arkansas 92 New Hampshire 95
California 90 New Jersey 90
Connecticut 104 New York 95
Delaware 105 North Carolina 90
Florida 82 North Dakota 86
Georgia 90 Ohio 82
Hawaii 104 Oklahoma 86
Idaho 90 Oregon 95
Texas 63 Washington 93
Utah 101 Wyoming 84
Vermont 91 West Virginia 115
Virginia 87 Wisconsin 113

4) Determine the range for the following sets of measurements.

a. 10, 8, 6, 0, 8, 3, 2, 2, 8, 0
b. 1, 3, 3, 5, 5, 5, 7, 7, 9
c. 20, 1, 2, 5, 4, 4, 4, 0
d. 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

For which of these is the range a misleading index of variability? Why?

Please see the attached file for the detailed description of questions. Show all work.

#### Solution Preview

1. Indicate whether the variable is qualitative or quantitative and the level of measurement for the variable (nominal, ordinal, interval, or ratio).

4 points
Variable
Qualitative Quantitative Nominal Ordinal Interval Ratio
Color vision status - colorblind or not colorblind
Qualitative
Nominal
Anxiety rating - highly anxious, moderately anxious, relaxed Qualitative Ordinal
Temperature in degrees Celsius Quantitative Interval
Annual salary of Bill Gates Quantitative Ratio

Color vision status is categorical - classifies data into categories. It is nominal as ranking is not possible.
Anxiety rating is again categorical but now ...

#### Solution Summary

Answers questions on Scales of measurement, Mode, Range etc.

\$2.19