SECTION 12: CLASSIFYING AND ORGANISING DATA ACTIVITY 1: CATEGORICAL/NUMERICAL/DISCRETE/CONTINUOUS Explain each of the following terms and give appropriate examples (at least 2): 1. Categorical data 2. Numerical data 3. Discrete data 4. Continuous data

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### 1. Categorical Data

**Definition:**  
Categorical data represents characteristics or qualities that can be sorted into distinct groups or categories. These values are non-numeric, or if they are numeric, they do not have a mathematical value (e.g., labels).

**Examples:**  
- **Gender:** Categories such as Male, Female, Other.  
- **Colours:** Categories like Red, Blue, Green.

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### 2. Numerical Data

**Definition:**  
Numerical data quantifies information and is expressed with numbers. This type of data allows for arithmetic operations such as addition, subtraction, and average calculations. Numerical data can be further classified into discrete or continuous types.

**Examples:**  
- **Age:** Measured in years (e.g., $$25, 30, 45$$).
- **Test Scores:** Numeric scores such as $$85, 92, 78$$.

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### 3. Discrete Data

**Definition:**  
Discrete data are numerical data that take on a countable number of distinct values. Typically, these values are whole numbers and are obtained by counting.

**Examples:**  
- **Number of Students in a Class:** For example, $$25, 30, 32$$ students.
- **Number of Books on a Shelf:** For instance, $$10, 15, 20$$ books.

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### 4. Continuous Data

**Definition:**  
Continuous data are numerical data that can take any value within a given range. These values are obtained by measurement and can include fractions or decimals, representing degree or amount.

**Examples:**  
- **Height of Individuals:** Can be measured as $$170.5 \, 	ext{cm}$$, $$182.3 \, 	ext{cm}$$, etc.
- **Temperature:** Can be $$22.5^\circ 	ext{C}$$, $$23.67^\circ 	ext{C}$$, etc.
**Categorical Data:** - **Definition:** Represents characteristics or qualities sorted into distinct groups or categories, with non-numeric values. - **Examples:** - Gender: Male, Female, Other - Colours: Red, Blue, Green **Numerical Data:** - **Definition:** Quantifies information using numbers, allowing arithmetic operations. - **Examples:** - Age: 25, 30, 45 - Test Scores: 85, 92, 78 **Discrete Data:** - **Definition:** Numerical data that can only take specific, countable values. - **Examples:** - Number of Students: 25, 30, 32 - Number of Books: 10, 15, 20 **Continuous Data:** - **Definition:** Numerical data that can take any value within a range, including fractions or decimals. - **Examples:** - Height: 170.5 cm, 182.3 cm - Temperature: 22.5°C, 23.67°C

SECTION 12: CLASSIFYING AND ORGANISING DATA ACTIVITY 1: CATEGORICAL/NUMERICAL/DISCRETE/CONTINUOUS Explain each of the following terms and give appropriate examples (at least 2): 1. Categorical data 2. Numerical data 3. Discrete data 4. Continuous data

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