Answer
**Categorical Data:**
- **Definition:** Data divided into groups or categories with labels.
- **Examples:**
- Types of fruits: apple, banana, orange.
- Colors of cars: red, blue, green.
**Numerical Data:**
- **Definition:** Data represented by numbers, which can be further divided into discrete and continuous.
- **Examples:**
- Ages: 25, 30, 45.
- Heights: 160 cm, 175 cm, 180 cm.
**Discrete Data:**
- **Definition:** Numerical data that can only take specific, distinct values.
- **Examples:**
- Number of students: 20, 25, 30.
- Number of cars: 5, 10, 15.
**Continuous Data:**
- **Definition:** Numerical data that can take any value within a range.
- **Examples:**
- Temperature: 22.5°C, 23.0°C, 23.5°C.
- Time: 3.5 hours, 4.0 hours, 4.5 hours.
Solution
Let's break down each of the terms you've provided, along with appropriate examples for each.
### 1. Categorical Data
**Definition:** Categorical data refers to data that can be divided into groups or categories. The values are typically labels or names that represent different categories. This type of data is often qualitative.
**Examples:**
- **Example 1:** Types of fruits (e.g., apple, banana, orange).
- **Example 2:** Colors of cars (e.g., red, blue, green).
### 2. Numerical Data
**Definition:** Numerical data consists of numbers that represent measurable quantities. This type of data can be further classified into discrete and continuous data.
**Examples:**
- **Example 1:** The age of individuals (e.g., 25, 30, 45).
- **Example 2:** The height of students in centimeters (e.g., 160 cm, 175 cm, 180 cm).
### 3. Discrete Data
**Definition:** Discrete data is a type of numerical data that can take on a finite number of values. It often represents counts of items or occurrences.
**Examples:**
- **Example 1:** The number of students in a classroom (e.g., 20, 25, 30).
- **Example 2:** The number of cars in a parking lot (e.g., 5, 10, 15).
### 4. Continuous Data
**Definition:** Continuous data is a type of numerical data that can take on an infinite number of values within a given range. It often represents measurements.
**Examples:**
- **Example 1:** The temperature in degrees Celsius (e.g., 22.5°C, 23.0°C, 23.5°C).
- **Example 2:** The time taken to run a marathon in hours (e.g., 3.5 hours, 4.0 hours, 4.5 hours).
These definitions and examples should help clarify the differences between the various types of data.
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