Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Finishing timės (in seconds) of 20 male participants in a 5K race 1719 1634 1572 1475 2296 1446 1251 1803 1593 1778 1956 1525 1824 1617 1306 1822 2019 2082 1579 1478

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**Constructing a Frequency Distribution and Histogram**

Objective: Create a frequency distribution and a histogram for the given data using the specified classes. Then, describe any patterns observed.

**Data Set**

Below are the finish times (in seconds) of 20 male participants in a 5K race:

- 1719
- 1654
- 1572
- 1455
- 2326
- 1656
- 1525
- 1904
- 1594
- 1736
- 2021
- 2019
- 1537
- 3008
- 3366
- 1923
- 1587
- 1579
- 4178

**Instructions**

1. **Frequency Distribution Table:**

   - Use the minimum data entry as the lower limit of the first class.
   - Complete the frequency table by determining the number of data points that fall within each class interval.

2. **Class Intervals and Frequency**

   - Classes have been provided, along with boxes intended for tallying frequencies.

3. **Diagram Explanation**

   - Construct a histogram based on the frequency table.

**Analysis**

- Examine the histogram for any patterns in the data, such as central tendencies, dispersion, skewness, or outliers.

**Note**

You can check your answers by selecting "Check Answer" once you've inputted the data.

---
For a more comprehensive understanding of frequency distributions and histograms, you may want to consider how class intervals can affect the interpretation of data.
Transcribed Image Text:**Constructing a Frequency Distribution and Histogram** Objective: Create a frequency distribution and a histogram for the given data using the specified classes. Then, describe any patterns observed. **Data Set** Below are the finish times (in seconds) of 20 male participants in a 5K race: - 1719 - 1654 - 1572 - 1455 - 2326 - 1656 - 1525 - 1904 - 1594 - 1736 - 2021 - 2019 - 1537 - 3008 - 3366 - 1923 - 1587 - 1579 - 4178 **Instructions** 1. **Frequency Distribution Table:** - Use the minimum data entry as the lower limit of the first class. - Complete the frequency table by determining the number of data points that fall within each class interval. 2. **Class Intervals and Frequency** - Classes have been provided, along with boxes intended for tallying frequencies. 3. **Diagram Explanation** - Construct a histogram based on the frequency table. **Analysis** - Examine the histogram for any patterns in the data, such as central tendencies, dispersion, skewness, or outliers. **Note** You can check your answers by selecting "Check Answer" once you've inputted the data. --- For a more comprehensive understanding of frequency distributions and histograms, you may want to consider how class intervals can affect the interpretation of data.
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