(a) What is the class width? 0 (b) How many concerts were attended by from 300 to 424 people? 0 (c) According to the histogram, what is the total number of concerts?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Interpreting a Histogram

#### Number of People Who Attended

- **50 to 174**
- **175 to 299**
- **300 to 424**
- **425 to 549**

---

#### Questions on Histogram Data:

(a) **What is the class width?**

[Answer Box]

(b) **How many concerts were attended by from 300 to 424 people?**

[Answer Box]

(c) **According to the histogram, what is the total number of concerts?**

[Answer Box]

---

**Explanation:**

- **Class Width:** The class width is the difference between the upper and lower boundaries of any class interval. In this case, the class width is calculated as follows, 
\[ \text{Class Width} = 175 - 50 = 125. \]

- **Number of Concerts Attended by 300 to 424 People:** This information should be provided by the histogram. Count the number of bars in the range of 300 to 424 people.

- **Total Number of Concerts:** Sum the frequencies of all class intervals as indicated by the histogram.

**Note:** Users should refer to the actual histogram to count and sum the frequencies accurately.

[Explanation] [Check]

---

This section is designed to help students understand how to interpret data displayed in histograms, calculate class widths, and analyze frequency distributions.

---
Transcribed Image Text:--- ### Interpreting a Histogram #### Number of People Who Attended - **50 to 174** - **175 to 299** - **300 to 424** - **425 to 549** --- #### Questions on Histogram Data: (a) **What is the class width?** [Answer Box] (b) **How many concerts were attended by from 300 to 424 people?** [Answer Box] (c) **According to the histogram, what is the total number of concerts?** [Answer Box] --- **Explanation:** - **Class Width:** The class width is the difference between the upper and lower boundaries of any class interval. In this case, the class width is calculated as follows, \[ \text{Class Width} = 175 - 50 = 125. \] - **Number of Concerts Attended by 300 to 424 People:** This information should be provided by the histogram. Count the number of bars in the range of 300 to 424 people. - **Total Number of Concerts:** Sum the frequencies of all class intervals as indicated by the histogram. **Note:** Users should refer to the actual histogram to count and sum the frequencies accurately. [Explanation] [Check] --- This section is designed to help students understand how to interpret data displayed in histograms, calculate class widths, and analyze frequency distributions. ---
---
### Interpreting a Histogram

Pablo is the manager for the touring rock band Hi Phone. For the band's recently ended summer tour, Pablo kept track of the attendance of each of the band's concerts. The histogram below summarizes the data. Use the histogram to answer each of the questions.

#### Histogram
The x-axis represents the "Number of people who attended" categorized into four class intervals:
- 50 to 174
- 175 to 299
- 300 to 424
- 425 to 549

The y-axis represents the "Frequency (Number of concerts)" which ranges from 0 to 10.

The histogram displays the following data:
- For the 50 to 174 interval, there were approximately 7 concerts.
- For the 175 to 299 interval, there were approximately 3 concerts.
- For the 300 to 424 interval, there were approximately 9 concerts.
- For the 425 to 549 interval, there were approximately 3 concerts.

#### Questions
1. **What is the class width?**
   - Class width is the difference between the upper and lower boundaries of a class interval.

   **Answer:** 
   - You can determine the class width by subtracting the lower boundary of a class interval from its upper boundary. For example, in the interval 50 to 174, the class width is \(174 - 50 = 124\).

2. **How many concerts were attended by from 300 to 424?**
   - This can be answered by observing the frequency for the 300 to 424 interval.

   **Answer:** 
   - According to the histogram, there were 9 concerts attended by people in the 300 to 424 range.

---
Transcribed Image Text:--- ### Interpreting a Histogram Pablo is the manager for the touring rock band Hi Phone. For the band's recently ended summer tour, Pablo kept track of the attendance of each of the band's concerts. The histogram below summarizes the data. Use the histogram to answer each of the questions. #### Histogram The x-axis represents the "Number of people who attended" categorized into four class intervals: - 50 to 174 - 175 to 299 - 300 to 424 - 425 to 549 The y-axis represents the "Frequency (Number of concerts)" which ranges from 0 to 10. The histogram displays the following data: - For the 50 to 174 interval, there were approximately 7 concerts. - For the 175 to 299 interval, there were approximately 3 concerts. - For the 300 to 424 interval, there were approximately 9 concerts. - For the 425 to 549 interval, there were approximately 3 concerts. #### Questions 1. **What is the class width?** - Class width is the difference between the upper and lower boundaries of a class interval. **Answer:** - You can determine the class width by subtracting the lower boundary of a class interval from its upper boundary. For example, in the interval 50 to 174, the class width is \(174 - 50 = 124\). 2. **How many concerts were attended by from 300 to 424?** - This can be answered by observing the frequency for the 300 to 424 interval. **Answer:** - According to the histogram, there were 9 concerts attended by people in the 300 to 424 range. ---
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