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Assignment: Levels of Measurement Fill in the answers to the questions in the following three activities....

Assignment: Levels of Measurement

Fill in the answers to the questions in the following three activities. Be sure to fully read the instructions before you begin. If you have any questions, post them in Sakai.

Directions (Activity 1): Identify the levels of measurement in the following examples. Place an X in the correct column to indicate nominal, ordinal, interval, or ratio level of measurement. (Note: There is only one option per example.) (.25 pts each, 3 pts total)

Nominal

Ordinal

Interval

Ratio

Example: hair color of women on a high school tennis team

X

  1. numbers on the jerseys of a girls’ sports team
  1. ages of students in a statistics class
  1. temperatures (Celsius or Fahrenheit) of 22 selected refrigerators
  1. number of milligrams of tar in 28 cigarettes
  1. sea level measurement for a particular geographical location
  1. marriage status of the faculty at the local community college
  1. list of 1247 social security numbers
  1. the final grades (A, B, C, etc.) for students in a chemistry class
  1. the annual salaries for all teachers in Utah
  1. list of zip codes for Chicago
  1. the nationalities listed in a recent survey
  1. the amount of fat (in grams) in 44 cookies
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Answer #1

The levels of measurement in statistics are the mathematical precision with which the values of a variable can be expressed.

The nominal level of measurement, which is qualitative, has no mathematical interpretation.

The ordinal, interval and ratio levels of measurement are quantitative levels of measurement which are more precise mathematically.

Nominal Ordinal Interval Ratio
Numbers on the jersey's of a girls' sports team X
Ages of students in a statistics class    X
Temperatures (Celsius or Fahrenheit) of 22 selected refrigerators X
Number of milligrams of tar in 28 cigarettes X
Sea level measurement for a particular geographical location X
Marriage status of the faculty at the local community college X
List of 1247 social security numbers X
The final grades (A, B, C,etc.) for students in a chemistry class X
The annual salaries for all teachers in Utah X
list of zip codes for Chicago X
The nationalities listed in a recent survey X
The amount of fat (in grams) in 44 cookies X
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