Measurement Scales in Statistics

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5 Questions

Which scale of measurement assigns numbers to objects for differentiation without implying superiority or inferiority?

Nominal scale

Which scale of measurement indicates rank or position with meaningful order?

Ordinal scale

In which scale of measurement are the intervals between adjacent categories equal?

Interval scale

What is an example of a nominal scale mentioned in the text?

Baseball uniform numbers

Which scale of measurement shows order like ordinal and equal intervals between adjacent categories?

Interval scale

Study Notes

  • Measurement is the process of applying numbers to objects based on set rules, like measuring height using a tape measure.
  • In statistics, there are four scales of measurement: nominal, ordinal, interval, and ratio.
  • Nominal scale assigns numbers to objects to differentiate them, like assigning 1 to males and 2 to females without any inherent meaning.
  • Example of nominal scale includes gender where numbers are used for differentiation, not to imply superiority or inferiority.
  • Another example of a nominal scale is baseball uniform numbers which simply distinguish between players.
  • Ordinal scale assigns numbers to objects with meaningful order, indicating rank or position like first, second, third place in a race.
  • Interval scale, in addition to having order like ordinal, also has equal intervals between adjacent categories, such as temperature in Fahrenheit.
  • In an interval scale, the difference between 78 and 79 degrees is the same as between 45 and 46 degrees, showing equal intervals throughout the scale.

Learn about the four scales of measurement used in statistics: nominal, ordinal, interval, and ratio. Understand how each scale assigns numbers to objects with different levels of meaning and differentiation.

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