Q: What is an observation that deals with characteristics that cannot be expressed in numbers?

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A qualitative observation. For example, your gender, or the colour of your eyes.

observation without numerical values are qualatative with numbers is quantatative

that apple is red (includes no numbers at all and it describes an apple which is an observation)

Numbers that cannot be expressed in the form of a ratio of two integers.

These are the numbers which cannot be expressed as ratios of two integers.

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Qualitative observations

A qualitative observation. For example, your gender, or the colour of your eyes.

observation without numerical values are qualatative with numbers is quantatative

that apple is red (includes no numbers at all and it describes an apple which is an observation)

A qualitative observation is a descriptive observation that involves characteristics that cannot be easily measured with numbers. It focuses on qualities such as color, texture, smell, taste, and other subjective features.

Numbers that cannot be expressed in the form of a ratio of two integers.

14 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

irrational numbers

irrational numbers

Irrational numbers can't be expressed as fractions .

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

Rational numbers can be expressed as a ratio of two integers, irrational numbers cannot be expressed in that way.