# What is Scale of Measurement

What is a scale of measurement?

Scale of measurement entails the method used for translation of observation into numbers. For measurement to be carried out in statistics, objects and events has to be assigned numerals according to certain scales or rules. Starting with variables, some rules are then used to determine how these variables will be expressed in numerical form. It may be through tests or actual measurements. The nature of the measurement process that produces the numbers determines the interpretation that can be made from them and the statistical procedures that can be meaningfully used with them.

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**Nominal Scale**: This is the simplest level of measurement where data is categorized and labeled with distinct names or categories. The numbers assigned to the categories are arbitrary and do not have any inherent meaning. Examples include gender, ethnicity, and colors.**Ordinal Scale**: In this scale, data is ranked or ordered in terms of preference, importance, or some other quality. However, the intervals between the ranks are not uniform or meaningful. For instance, a survey asking participants to rate a product as “Excellent,” “Good,” or “Average” falls under the ordinal scale.**Interval Scale**: An interval scale has meaningful intervals between values, but it lacks a true zero point. This means that while you can measure the difference between values, you cannot make statements about ratios between them. The Fahrenheit temperature scale is an example of an interval scale.**Ratio Scale**: The ratio scale possesses all the characteristics of the previous scales—nominal, ordinal, and interval—along with a true zero point. This allows for meaningful ratios between values. Examples include height, weight, and income.

The choice of scale for a variable depends on its nature and the type of analysis you plan to conduct. It’s important to choose an appropriate scale as it affects the statistical operations you can perform on the data.

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Compute the standard deviation of the following scores 6, 7, 6, 9, 5, 2, 6, 7, 3, 4

**Evaluation**

1. A scale of measurement is a method used for translating observations into ____________.

(a) Colors

(b) Numbers

(c) Descriptions

2. Objects and events are assigned numerals according to specific ____________ or rules.

(a) Shapes

(b) Scales

(c) Patterns

3. The nature of the measurement process determines the ____________ that can be made from the numbers.

(a) Inferences

(b) Conclusions

(c) Predictions

4. The four scales of measurement are nominal, ordinal, ____________, and ratio.

(a) Categorical

(b) Interval

(c) Fractional

5. On a ____________ scale, data is ranked or ordered, but the intervals between the ranks are not uniform.

(a) Nominal

(b) Interval

(c) Ordinal

6. The Fahrenheit temperature scale is an example of an ____________ scale of measurement.

(a) Interval

(b) Ordinal

(c) Nominal

7. A ____________ scale possesses all the characteristics of nominal, ordinal, and interval scales, along with a true zero point.

(a) Fractional

(b) Ratio

(c) Absolute

8. When measurement data is categorized and labeled with distinct names or categories, it’s on a ____________ scale.

(a) Ratio

(b) Ordinal

(c) Nominal

9. The choice of scale for a variable affects the ____________ operations you can perform on the data.

(a) Mathematical

(b) Visual

(c) Verbal

10. In a ____________ scale, the numbers assigned to categories are arbitrary and lack inherent meaning.

(a) Ordinal

(b) Ratio

(c) Nominal

11. An example of a variable measured on a ratio scale is ____________.

(a) Satisfaction level (Excellent, Good, Average)

(b) Temperature in Fahrenheit

(c) Gender

12. In statistics, the translation of observations into numbers is often carried out using ____________.

(a) Descriptive labels

(b) Alphabetical symbols

(c) Numerals

13. A ____________ scale of measurement allows for meaningful ratios between values.

(a) Ordinal

(b) Nominal

(c) Ratio

14. The intervals between values on an ____________ scale are meaningful, but it lacks a true zero point.

(a) Nominal

(b) Ordinal

(c) Interval

15. The interpretation of measurement numbers and the statistical procedures used depend on the ____________.

(a) Nature of the data

(b) Measurement units

(c) Time of measurement