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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
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.
Expert Solution

Step 1
From the given information we find frequency distribution.
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Solved in 2 steps with 1 images
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