Quantitative Data
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Definition: Data that represents measurable quantities and can be expressed numerically.
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Example: Height (170 cm), age (25 years), or income ($50,000).
Important Note: Quantitative data can be further divided into:
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Discrete: Countable items (e.g., number of children).
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Continuous: Measurable quantities with infinite possible values within a range (e.g., weight).
Qualitative Data
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Definition: Data that describes qualities or characteristics and cannot be measured numerically.
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Example: Colors (red, blue), types of cuisine (Italian, Mexican), or feedback (satisfied, neutral).
Important Note: Qualitative data is often categorized as:
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Nominal: Categories without order (e.g., types of fruits).
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Ordinal: Categories with a natural order (e.g., satisfaction levels: good, average, poor).
Measurement Scales
| Nominal | Ordinal | Interval | Ratio |
|---|---|---|---|
| A scale for labeling categories without any order. | A scale with ordered categories, but differences between values aren’t uniform. | A scale with ordered values and equal intervals, but no true zero point. | A scale with ordered values, equal intervals, and a true zero point. |
| Types of fruits (apple, banana, cherry). | Customer satisfaction levels (satisfied, neutral, dissatisfied). | Temperature in Celsius (10°C, 20°C, 30°C). | Weight (0 kg, 10 kg, 20 kg). |
| No mathematical operations can be performed on nominal data; it’s purely for categorization. | Shows ranking but not the exact difference between levels. | Differences can be compared, but ratios are meaningless (e.g., 20°C is not “twice as hot” as 10°C). | Allows for full mathematical operations, including ratios (e.g., 20 kg is twice as heavy as 10 kg). |