group each variable as categorical nominal/ ordinal numerical discrete/continuous

MATLAB: An Introduction with Applications
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**Table: Student Data Overview**

| Year        | Gender | Award   | HigherSAT | Height | Weight | Siblings | BirthOrder | VerbalSAT | MathSAT | SAT  | GPA | Piercings |
|-------------|--------|---------|-----------|--------|--------|----------|------------|-----------|---------|------|-----|-----------|
| Sophomore   | M      | Nobel   | Verbal    | 71     | 175    | 1        | 1          | 630       | 620     | 1250 | 3.05| 0         |
| Sophomore   | M      | Olympic | Math      | 70     | 183    | 3        | 2          | 470       | 500     | 970  | 2.20| 4         |
| Sophomore   | F      | Nobel   | Verbal    | 65     | 140    | 2        | 3          | 550       | 540     | 1090 | 3.30| 4         |
| Sophomore   | F      | Nobel   | Verbal    | 67     | 140    | 1        | 1          | 690       | 660     | 1350 | 3.45| 6         |

**Explanation:**

This table presents data on four students, all sophomores, with the following details:

- **Gender:** Two males ("M") and two females ("F").
- **Awards:** Two have received the Nobel award, while one has received an Olympic award.
- **HigherSAT:** Indicates whether the student's verbal or math SAT score is higher.
- **Height and Weight:** Provided in inches and pounds, respectively.
- **Siblings and BirthOrder:** Number of siblings and the order of birth among siblings.
- **VerbalSAT and MathSAT:** Scores in the verbal and math sections of the SAT.
- **SAT:** Total SAT score (VerbalSAT + MathSAT).
- **GPA:** Grade Point Average on a 4.0 scale.
- **Piercings:** Number of piercings each student has. 

This data could be part of a larger study analyzing academic performance, extracurricular recognition, and personal characteristics.
Transcribed Image Text:**Table: Student Data Overview** | Year | Gender | Award | HigherSAT | Height | Weight | Siblings | BirthOrder | VerbalSAT | MathSAT | SAT | GPA | Piercings | |-------------|--------|---------|-----------|--------|--------|----------|------------|-----------|---------|------|-----|-----------| | Sophomore | M | Nobel | Verbal | 71 | 175 | 1 | 1 | 630 | 620 | 1250 | 3.05| 0 | | Sophomore | M | Olympic | Math | 70 | 183 | 3 | 2 | 470 | 500 | 970 | 2.20| 4 | | Sophomore | F | Nobel | Verbal | 65 | 140 | 2 | 3 | 550 | 540 | 1090 | 3.30| 4 | | Sophomore | F | Nobel | Verbal | 67 | 140 | 1 | 1 | 690 | 660 | 1350 | 3.45| 6 | **Explanation:** This table presents data on four students, all sophomores, with the following details: - **Gender:** Two males ("M") and two females ("F"). - **Awards:** Two have received the Nobel award, while one has received an Olympic award. - **HigherSAT:** Indicates whether the student's verbal or math SAT score is higher. - **Height and Weight:** Provided in inches and pounds, respectively. - **Siblings and BirthOrder:** Number of siblings and the order of birth among siblings. - **VerbalSAT and MathSAT:** Scores in the verbal and math sections of the SAT. - **SAT:** Total SAT score (VerbalSAT + MathSAT). - **GPA:** Grade Point Average on a 4.0 scale. - **Piercings:** Number of piercings each student has. This data could be part of a larger study analyzing academic performance, extracurricular recognition, and personal characteristics.
**Grouping Variables in Data Analysis**

In data analysis, it's important to categorize each variable appropriately. Variables can be categorized as follows:

1. **Categorical Variables**:
   - **Nominal**: These are categories without any intrinsic ordering. Examples include colors, types of fruit, or names of cities.
   - **Ordinal**: These categories have a meaningful order but the intervals between them are not necessarily equal. Examples include rankings, education levels, or satisfaction ratings.

2. **Numerical Variables**:
   - **Discrete**: These are countable values, often integers. Examples include the number of students in a classroom, the number of cars in a parking lot, or the number of pets owned.
   - **Continuous**: These variables can take on any value within a range. Examples include height, weight, and temperature.

Understanding these distinctions helps in selecting the correct statistical tests and visualizations for data analysis.
Transcribed Image Text:**Grouping Variables in Data Analysis** In data analysis, it's important to categorize each variable appropriately. Variables can be categorized as follows: 1. **Categorical Variables**: - **Nominal**: These are categories without any intrinsic ordering. Examples include colors, types of fruit, or names of cities. - **Ordinal**: These categories have a meaningful order but the intervals between them are not necessarily equal. Examples include rankings, education levels, or satisfaction ratings. 2. **Numerical Variables**: - **Discrete**: These are countable values, often integers. Examples include the number of students in a classroom, the number of cars in a parking lot, or the number of pets owned. - **Continuous**: These variables can take on any value within a range. Examples include height, weight, and temperature. Understanding these distinctions helps in selecting the correct statistical tests and visualizations for data analysis.
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