https://file.aiquickdraw.com/mathbot/file/17261981230099f2lms67.jpg

The table provided shows frequencies for different numbers of movies, and it requires calculations for both relative frequency and cumulative relative frequency. Let's proceed step by step.

### Step 1: Calculate the Total Frequency
The total frequency is the sum of all individual frequencies:
\[
5 + 10 + 5 + 4 + 1 = 25
\]
This total is important for determining the relative frequency.

### Step 2: Calculate the Relative Frequency
Relative frequency is calculated as the frequency for each category divided by the total frequency. Let's compute it for each category:

- For 0 movies: \(\frac{5}{25} = 0.2\)
- For 1 movie: \(\frac{10}{25} = 0.4\)
- For 2 movies: \(\frac{5}{25} = 0.2\)
- For 3 movies: \(\frac{4}{25} = 0.16\)
- For 4 movies: \(\frac{1}{25} = 0.04\)

### Step 3: Calculate the Cumulative Relative Frequency
Cumulative relative frequency is calculated by adding up the relative frequencies progressively. Let's compute it:

- For 0 movies: \(0.2\) (same as the relative frequency)
- For 1 movie: \(0.2 + 0.4 = 0.6\)
- For 2 movies: \(0.6 + 0.2 = 0.8\)
- For 3 movies: \(0.8 + 0.16 = 0.96\)
- For 4 movies: \(0.96 + 0.04 = 1.00\)

### Completed Table:
| # of Movies | Frequency | Relative Frequency | Cumulative Relative Frequency |
|-------------|-----------|--------------------|------------------------------|
| 0           | 5         | 0.2                | 0.2                          |
| 1           | 10        | 0.4                | 0.6                          |
| 2           | 5         | 0.2                | 0.8                          |
| 3           | 4         | 0.16               | 0.96                         |
| 4           | 1         | 0.04               | 1.00                         |

Would you like more details or any clarifications?

Here are 5 related questions:
1. What does the cumulative relative frequency represent?
2. How do we interpret a relative frequency of 0.4?
3. How would the table change if the frequency for 1 movie increased?
4. What happens to cumulative relative frequency if the total frequency is underestimated?
5. How could this data be represented in a graph?

**Tip:** Always check that the cumulative relative frequency sums to 1 (or very close to 1 due to rounding) to ensure calculations are correct.

The user submitted a frequency table showing the number of movies watched by individuals and requires calculations for relative and cumulative relative frequencies.

Learn how to calculate relative and cumulative relative frequencies using a movie frequency table. This problem demonstrates step-by-step calculations for both statistical measures, including a table with the number of movies watched and their respective frequencies.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation