Students in a statistics class who were asked to provide their majors provided the data below:

Undecided	Biology	Biology	Sociology
Political Science	Sociology	Undecided	Undecided
Undecided	Biology	Biology	Education
Biology	Biology	Political Science	Political Science

Create a categorical frequency distribution to organize these responses.

To create a categorical frequency distribution for the given data, we'll list each category (major) and count how many times each category appears in the dataset.

### Step 1: List the Data
The majors provided by the students are:
- Undecided
- Biology
- Biology
- Sociology
- Political Science
- Sociology
- Undecided
- Undecided
- Undecided
- Biology
- Biology
- Education
- Biology
- Biology
- Political Science
- Political Science

### Step 2: Count the Frequencies
Now, let's count how many times each major appears:

| **Major**          | **Frequency** |
|--------------------|---------------|
| Undecided          | 4             |
| Biology            | 6             |
| Sociology          | 2             |
| Political Science  | 3             |
| Education          | 1             |

### Step 3: Create the Categorical Frequency Distribution

Here is the categorical frequency distribution:

| **Major**          | **Frequency** |
|--------------------|---------------|
| Undecided          | 4             |
| Biology            | 6             |
| Sociology          | 2             |
| Political Science  | 3             |
| Education          | 1             |

This table organizes the data by categorizing the majors and displaying the number of students in each major.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:
1. How would you calculate the relative frequency for each category?
2. How can you use this frequency distribution to create a bar graph?
3. What is the mode of this dataset?
4. How would the frequency distribution change if there was an additional student with a major in Sociology?
5. How can this frequency distribution help in predicting the most popular major?

**Tip:** When working with categorical data, always check for any typos or inconsistencies in category names before counting frequencies.

Learn how to create a categorical frequency distribution for student majors using provided data. This problem covers statistical concepts including categorical data analysis and frequency distribution calculations. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation