### Frequency Distribution and Histogram Analysis**Objective:**Construct a frequency distribution and a frequency histogram for the given data set using the specified number of classes and describe any patterns observed.**Data Set:**Finishing times (in seconds) of 20 male participants in a 5K race.**Number of Classes:**8**Data Set:**```1717, 1631, 1575, 1472, 23001443, 1250, 1803, 1597, 17761957, 1520, 1826, 1617, 13041819, 2018, 2080, 1578, 1478```**Frequency Histogram Explanation:***Frequency Histogram 1:*- **X-Axis (Class):** Represents different classes.- **Y-Axis (Frequency):** Represents the frequency of data points within each class.- **Visual Observation:** The histogram shows the distribution of the finishing times across 8 classes.*Frequency Histogram 2:*- Similarly structured, with potentially differing distribution patterns.**Pattern Description:**Choose the correct answer below.A. The class with the greatest frequency is class 8. The class with the least frequency is class 2.B. The classes with the greatest frequency are classes 7 and 8. The class with the least frequency is class 3.C. The class with the greatest frequency is class 1. The class with the least frequency is class 8.D. The class with the greatest frequency is class 3. The classes with the least frequency are classes 7 and 8.---**Answer Explanation:**Carefully examine the histograms to determine which classes have the highest and lowest frequencies. Look for the tall and short bars on the graphs corresponding to the frequency of data points in each class. ### Frequency Distribution and Histogram Construction#### Provided Data Set:Finishing times (in seconds) of 20 male participants in a 5K race:- 1717, 1631, 1575, 1472, 2300- 1443, 1250, 1803, 1597, 1776- 1957, 1520, 1826, 1617, 1304- 1819, 2018, 2080, 1578, 1478The task involves constructing a frequency distribution and a frequency histogram using 8 classes. #### Steps to Construct the Frequency Distribution:1. **Determine the range**: Subtract the smallest data value from the largest data value.2. **Calculate the class width**: Divide the range by the number of classes and round up if necessary.3. **Create class intervals**: Start with the minimum data entry and create subsequent intervals using the class width.4. **Tally the data into classes**: Count how many data points fall into each class interval.5. **Construct the frequency distribution table**.#### Determine Class Intervals:Use the minimum data entry (1250) as the lower limit of the first class.#### Frequency Distribution Table:| Class | Frequency ||---------------|-----------|| 1250 - 1399 | ? || 1400 - 1549 | ? || 1550 - 1699 | ? || 1700 - 1849 | ? || 1850 - 1999 | ? || 2000 - 2149 | ? || 2150 - 2299 | ? || 2300 - 2449 | ? |Tally the data into the classes to fill in the frequency values.#### Constructing the Histogram:1. **Use the class intervals and frequencies** from the frequency distribution table.2. **Graph the intervals on the x-axis** and the frequencies on the y-axis.3. **Draw bars** for each class interval such that the height of each bar represents the corresponding frequency.#### Example Histograms:- **Option A**: The first possible histogram.- **Option B**: The second possible histogram.Once you've compiled the frequency distribution

The class width can be found by dividing the difference in highest and lowest value of data set by…

Construct a frequency distribution and a frequency histogram for the data set using 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. Number of classes: 8 Class Frequency Data set: Finishing times (in seconds) of 20 male participants in a 5K race 1. D- 2.다□ 3. -0 4. DO 5. O 6. -0 7. D0 1717 1631 1575 1472 2300 1443 1250 1803 1597 1776 1957 1520 1826 1617 1304 1819 2018 2080 1578 1478 8. -|

Construct a frequency distribution and a frequency histogram for the data set using 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. Number of classes: 8 Class Frequency Data set: Finishing times (in seconds) of 20 male participants in a 5K race 1. D- 2.다□ 3. -0 4. DO 5. O 6. -0 7. D0 1717 1631 1575 1472 2300 1443 1250 1803 1597 1776 1957 1520 1826 1617 1304 1819 2018 2080 1578 1478 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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Question

### Frequency Distribution and Histogram Analysis

**Objective:**
Construct a frequency distribution and a frequency histogram for the given data set using the specified number of classes and describe any patterns observed.

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

**Number of Classes:**
8

**Data Set:**
```
1717, 1631, 1575, 1472, 2300
1443, 1250, 1803, 1597, 1776
1957, 1520, 1826, 1617, 1304
1819, 2018, 2080, 1578, 1478
```

**Frequency Histogram Explanation:**

*Frequency Histogram 1:*

- **X-Axis (Class):**
Represents different classes.
- **Y-Axis (Frequency):**
Represents the frequency of data points within each class.
- **Visual Observation:**
The histogram shows the distribution of the finishing times across 8 classes.

*Frequency Histogram 2:*

- Similarly structured, with potentially differing distribution patterns.

**Pattern Description:**
Choose the correct answer below.

A. The class with the greatest frequency is class 8. The class with the least frequency is class 2.

B. The classes with the greatest frequency are classes 7 and 8. The class with the least frequency is class 3.

C. The class with the greatest frequency is class 1. The class with the least frequency is class 8.

D. The class with the greatest frequency is class 3. The classes with the least frequency are classes 7 and 8.

---

**Answer Explanation:**

Carefully examine the histograms to determine which classes have the highest and lowest frequencies. Look for the tall and short bars on the graphs corresponding to the frequency of data points in each class.

### Frequency Distribution and Histogram Construction

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

- 1717, 1631, 1575, 1472, 2300
- 1443, 1250, 1803, 1597, 1776
- 1957, 1520, 1826, 1617, 1304
- 1819, 2018, 2080, 1578, 1478

The task involves constructing a frequency distribution and a frequency histogram using 8 classes.

#### Steps to Construct the Frequency Distribution:
1. **Determine the range**: Subtract the smallest data value from the largest data value.
2. **Calculate the class width**: Divide the range by the number of classes and round up if necessary.
3. **Create class intervals**: Start with the minimum data entry and create subsequent intervals using the class width.
4. **Tally the data into classes**: Count how many data points fall into each class interval.
5. **Construct the frequency distribution table**.

#### Determine Class Intervals:
Use the minimum data entry (1250) as the lower limit of the first class.

#### Frequency Distribution Table:
| Class | Frequency |
|---------------|-----------|
| 1250 - 1399 | ? |
| 1400 - 1549 | ? |
| 1550 - 1699 | ? |
| 1700 - 1849 | ? |
| 1850 - 1999 | ? |
| 2000 - 2149 | ? |
| 2150 - 2299 | ? |
| 2300 - 2449 | ? |

Tally the data into the classes to fill in the frequency values.

#### Constructing the Histogram:
1. **Use the class intervals and frequencies** from the frequency distribution table.
2. **Graph the intervals on the x-axis** and the frequencies on the y-axis.
3. **Draw bars** for each class interval such that the height of each bar represents the corresponding frequency.

#### Example Histograms:
- **Option A**: The first possible histogram.
- **Option B**: The second possible histogram.

Once you've compiled the frequency distribution

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