## Q-QUIZ APRIL 2019

### The right measurement scale leads to suitable statistics

Calculating statistics based on your measured values, it is reasonable to define first which statistics shall actually be considered in your sample. Defining a measurement scale makes this process easier. Find the highest possible measurement scale matching the characteristics below.

- Body height
- Temperature in kelvin
- Grades
- Date
- Biological sex
- Birthplace
- Chicken egg sizes
- Temperature in degree Celsius
- Name of a person
- Fare

Need some support? Here is a short explanation of the single scales.

**Nominal scale: **Even though you are able to distinguish the single characteristic values; however, they do not follow any rank order. You may only compare them in terms of “equal” and “unequal”.

**Ordinal scale:** It follows at natural rank order. You may sort the characteristic values by size; you may thus compare them in terms of “less“, “equal“ and “greater“.

**Interval scale:** The interval scale is a metrical scale that does not have a natural origin. In case of an interval scale, you may measure the degree of difference and thus the distance between two items.

**Ratio scale: **A ratio scale is a metrical scale with a natural origin. The ratio scale is the highest scale of measurement in statistics. It is the only type of scale for which multiplication or division and calculating ratios is meaningful.

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