The results are presented in the following frequency distribution. Gender and Age Group Males 2-11 Frequency (in millions) 13.7 Females 2-11 13.1 Males 12-17 11.4 Females 12-17 6.1 Males 18-34 15.0 Females 18-34 12.0 Males 35-49 11.9 Females 35-49 8.1 Males 50+ 3.2 Females 50+ 2.7

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Constructing a Frequency Bar Graph**

In this activity, you will learn how to construct a frequency bar graph. This is a type of graph that helps visualize the frequency of data points within specific intervals.

**Graph Explanation:** 

The graph shown is a blank frequency bar graph. On the vertical axis (y-axis), the graph is labeled "Frequency (Millions)" and ranges incrementally from 0.0 to 30.0 million. This axis represents the count or frequency of observations in each category.

On the horizontal axis (x-axis), there are several categories, each starting at a frequency of "0.0." Each category will be filled with data points representing the frequency of occurrences within those categories. In this case, the exact categories are not labeled, indicating that they can be tailored to fit various data sets.

The bar graph currently has zero values for all categories, meaning that no data has been entered yet. Each bar's height will correspond to the frequency of occurrences in a given category, and the larger the bar, the higher the frequency.

**Steps to Construct a Frequency Bar Graph:**

1. **Identify Categories:** Determine the categories for which you want to illustrate frequency. Label these categories on the x-axis.
2. **Collect Data:** Gather your data and count how many observations fall into each category.
3. **Plot Frequency:** For each category, draw a bar that corresponds to its frequency. The height of each bar should match the frequency value on the y-axis.
4. **Label Bars:** Clearly mark the value of each bar at the top for easy identification.

By following these steps, you can construct a frequency bar graph that visually represents the distribution of your data.
Transcribed Image Text:**Constructing a Frequency Bar Graph** In this activity, you will learn how to construct a frequency bar graph. This is a type of graph that helps visualize the frequency of data points within specific intervals. **Graph Explanation:** The graph shown is a blank frequency bar graph. On the vertical axis (y-axis), the graph is labeled "Frequency (Millions)" and ranges incrementally from 0.0 to 30.0 million. This axis represents the count or frequency of observations in each category. On the horizontal axis (x-axis), there are several categories, each starting at a frequency of "0.0." Each category will be filled with data points representing the frequency of occurrences within those categories. In this case, the exact categories are not labeled, indicating that they can be tailored to fit various data sets. The bar graph currently has zero values for all categories, meaning that no data has been entered yet. Each bar's height will correspond to the frequency of occurrences in a given category, and the larger the bar, the higher the frequency. **Steps to Construct a Frequency Bar Graph:** 1. **Identify Categories:** Determine the categories for which you want to illustrate frequency. Label these categories on the x-axis. 2. **Collect Data:** Gather your data and count how many observations fall into each category. 3. **Plot Frequency:** For each category, draw a bar that corresponds to its frequency. The height of each bar should match the frequency value on the y-axis. 4. **Label Bars:** Clearly mark the value of each bar at the top for easy identification. By following these steps, you can construct a frequency bar graph that visually represents the distribution of your data.
### Ages of Video Gamers

#### Gender and Age Group Distribution:
A market research company estimated the numbers of people in various gender and age categories who used a video game console. The results are presented in the following frequency distribution table.

| Gender and Age Group | Frequency (in millions) |
|----------------------|-------------------------|
| Males 2-11           | 13.7                    |
| Females 2-11         | 13.1                    |
| Males 12-17          | 11.4                    |
| Females 12-17        | 6.1                     |
| Males 18-34          | 15.0                    |
| Females 18-34        | 12.0                    |
| Males 35-49          | 11.9                    |
| Females 35-49        | 8.1                     |
| Males 50+            | 3.2                     |
| Females 50+          | 2.7                     |

This table categorizes video game console users by gender and various age groups, reporting the frequency in millions for each category. 

**Detailed Breakdown:**
- **Children (Ages 2-11):**
  - Males: 13.7 million
  - Females: 13.1 million
- **Adolescents (Ages 12-17):**
  - Males: 11.4 million
  - Females: 6.1 million
- **Young Adults (Ages 18-34):**
  - Males: 15.0 million
  - Females: 12.0 million
- **Middle-aged Adults (Ages 35-49):**
  - Males: 11.9 million
  - Females: 8.1 million
- **Older Adults (Ages 50+):**
  - Males: 3.2 million
  - Females: 2.7 million

This data provides valuable insights into the demographics of video game console users, illustrating significant variances across different age and gender groups.
Transcribed Image Text:### Ages of Video Gamers #### Gender and Age Group Distribution: A market research company estimated the numbers of people in various gender and age categories who used a video game console. The results are presented in the following frequency distribution table. | Gender and Age Group | Frequency (in millions) | |----------------------|-------------------------| | Males 2-11 | 13.7 | | Females 2-11 | 13.1 | | Males 12-17 | 11.4 | | Females 12-17 | 6.1 | | Males 18-34 | 15.0 | | Females 18-34 | 12.0 | | Males 35-49 | 11.9 | | Females 35-49 | 8.1 | | Males 50+ | 3.2 | | Females 50+ | 2.7 | This table categorizes video game console users by gender and various age groups, reporting the frequency in millions for each category. **Detailed Breakdown:** - **Children (Ages 2-11):** - Males: 13.7 million - Females: 13.1 million - **Adolescents (Ages 12-17):** - Males: 11.4 million - Females: 6.1 million - **Young Adults (Ages 18-34):** - Males: 15.0 million - Females: 12.0 million - **Middle-aged Adults (Ages 35-49):** - Males: 11.9 million - Females: 8.1 million - **Older Adults (Ages 50+):** - Males: 3.2 million - Females: 2.7 million This data provides valuable insights into the demographics of video game console users, illustrating significant variances across different age and gender groups.
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