Last week, we worked with frequency distributions and other ways of organizing data. For this week's discussion, give your data set stating what variable is being observed and create a frequency distribution and then give the relative frequency distributions that correspond to the frequency distribution. You can use data that you find online or you can invent your own data set. Please make sure to have at least 30 data values in the data set and at least five classes in the frequency distribution. You can give relative freque in lowest terms or decimals rounded to three places as needed. Click Table in the editing menu to make the tables for this post. Let me know if y. For example: My data set is ages of 30 randomly selected people at the zoo.

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UpStudy AI · Accepted Answer

Sure! Here's an example based on the heights of 30 randomly selected students in a high school.

**Variable Observed:**  
Height of students (measured in inches)

---

### Data Set
```
62, 65, 67, 70, 72, 68, 64, 66, 69, 71,
63, 65, 67, 70, 73, 68, 64, 66, 69, 71,
62, 65, 67, 70, 72, 68, 64, 66, 69, 71
```

---

### Frequency Distribution

| Height Range (in inches) | Frequency |
|-------------------------|-----------|
| 62 – 63                 | 4         |
| 64 – 65                 | 8         |
| 66 – 67                 | 8         |
| 68 – 69                 | 6         |
| 70 – 71                 | 4         |
| 72 – 73                 | 0         |

*Note: Although the range 72 – 73 inches is included for completeness, there are no students in this category.*

---

### Relative Frequency Distribution

| Height Range (in inches) | Relative Frequency |
|-------------------------|--------------------|
| 62 – 63                 | 4/30 = 0.133        |
| 64 – 65                 | 8/30 = 0.267        |
| 66 – 67                 | 8/30 = 0.267        |
| 68 – 69                 | 6/30 = 0.200        |
| 70 – 71                 | 4/30 = 0.133        |
| 72 – 73                 | 0/30 = 0.000        |

---

### Explanation

1. **Data Set:**  
   The heights of 30 students were recorded in inches.

2. **Frequency Distribution:**  
   The data was grouped into six height ranges (classes). Each class interval has a corresponding frequency indicating how many students fall within that range.

3. **Relative Frequency Distribution:**  
   Each frequency is divided by the total number of data points (30) to find the relative frequency. This shows the proportion of students within each height range.

Feel free to use or modify this example for your discussion!
**Data Set:** Ages of 30 randomly selected people at the zoo. --- ### Frequency Distribution | Age Range (years) | Frequency | |-------------------|-----------| | 20 – 29 | 6 | | 30 – 39 | 8 | | 40 – 49 | 7 | | 50 – 59 | 5 | | 60 – 69 | 4 | --- ### Relative Frequency Distribution | Age Range (years) | Relative Frequency | |-------------------|--------------------| | 20 – 29 | 6/30 = 0.200 | | 30 – 39 | 8/30 = 0.267 | | 40 – 49 | 7/30 = 0.233 | | 50 – 59 | 5/30 = 0.167 | | 60 – 69 | 4/30 = 0.133 | --- This distribution shows the number and proportion of people in each age group observed at the zoo.

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