ruct a frequency distribution and a frequency histogram for the data set the indicated number of classes. Describe any patterns. Construct a frequency distribution of the data. Use the minimum data entry as the lower limit of the first class. ber of classes: 8 Class Frequency set Finishing times (in seconds) of 20 participants in a 5K race 1.D-0 3. D-0 4.-0 1635 1572 1470 2296 1249 1803 1593 1779 1524 1826 1618 1306 5. 2020 2081 1580 1480 6. 7. 8.

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**Title: Constructing a Frequency Distribution and Histogram**

**Objective:**
Learn how to construct a frequency distribution and a frequency histogram for a given data set and recognize patterns.

**Data Set:**
Finishing times (in seconds) of 20 male participants in a 5K race.

**Data:**
- 1717, 1635, 1572, 1470, 2296
- 1444, 1249, 1803, 1593, 1779
- 1960, 1524, 1826, 1618, 1306
- 1820, 2020, 2081, 1580, 1480

**Instructions:**
1. **Number of Classes:** 8
2. Construct a frequency distribution table using the given data.
3. Use the minimum data entry as the lower limit of the first class.
4. Create a frequency histogram based on the frequency distribution.
5. Describe any patterns observed.

**Procedure:**

**Step 1:** Organize the data in ascending order.

**Step 2:** Determine the range by subtracting the minimum value from the maximum value.

**Step 3:** Calculate the class width by dividing the range by the number of classes (round up if necessary).

**Step 4:** Fill in the class intervals and count the frequency of data points within each interval.

**Frequency Distribution Table:**

| Class | Frequency |
|-------|-----------|
| 1     |           |
| 2     |           |
| 3     |           |
| 4     |           |
| 5     |           |
| 6     |           |
| 7     |           |
| 8     |           |

**Step 5:** Draw a histogram based on the class intervals and frequencies obtained.

**Discussion:**
Analyze the distribution shape (e.g., normal, skewed, bimodal) and any notable trends or outliers.

---

This exercise helps you to understand how to systematically analyze data sets using frequency distribution and histograms, facilitating the interpretation of data trends and patterns.
Transcribed Image Text:**Title: Constructing a Frequency Distribution and Histogram** **Objective:** Learn how to construct a frequency distribution and a frequency histogram for a given data set and recognize patterns. **Data Set:** Finishing times (in seconds) of 20 male participants in a 5K race. **Data:** - 1717, 1635, 1572, 1470, 2296 - 1444, 1249, 1803, 1593, 1779 - 1960, 1524, 1826, 1618, 1306 - 1820, 2020, 2081, 1580, 1480 **Instructions:** 1. **Number of Classes:** 8 2. Construct a frequency distribution table using the given data. 3. Use the minimum data entry as the lower limit of the first class. 4. Create a frequency histogram based on the frequency distribution. 5. Describe any patterns observed. **Procedure:** **Step 1:** Organize the data in ascending order. **Step 2:** Determine the range by subtracting the minimum value from the maximum value. **Step 3:** Calculate the class width by dividing the range by the number of classes (round up if necessary). **Step 4:** Fill in the class intervals and count the frequency of data points within each interval. **Frequency Distribution Table:** | Class | Frequency | |-------|-----------| | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | | 6 | | | 7 | | | 8 | | **Step 5:** Draw a histogram based on the class intervals and frequencies obtained. **Discussion:** Analyze the distribution shape (e.g., normal, skewed, bimodal) and any notable trends or outliers. --- This exercise helps you to understand how to systematically analyze data sets using frequency distribution and histograms, facilitating the interpretation of data trends and patterns.
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