The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $55. 835 890 945 1000 1055 1110 1165 Distribution of Prices What is the approximate percentage of buyers who paid between $890 and $1000? What is the approximate percentage of buyers who paid between $945 and $1055? What is the approximate percentage of buyers who paid between $835 and $1000? What is the approximate percentage of buyers who paid more than $1110? What is the approximate percentage of buyers who paid less than $835? What is the approximate percentage of buyers who paid between $1000 and $1055?

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### Understanding the Distribution of Prices for HD Televisions

The graph below illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $55.

#### Normal Distribution Graph

![Distribution of Prices](image-url-here) 

**Description:**
The graph shows a bell-shaped curve, which is characteristic of a normal distribution. The x-axis represents the distribution of prices ranging from $835 to $1165, while the peak of the curve represents the mean price of $1000. 

**Key Points on the Graph:**
- **835**: Represents the lower bound of the data range on the x-axis.
- **890**: A point below the mean price by 2 standard deviations.
- **945**: A point below the mean price by 1 standard deviation.
- **1000**: The mean price paid.
- **1055**: A point above the mean price by 1 standard deviation.
- **1110**: A point above the mean price by 2 standard deviations.
- **1165**: Represents the upper bound of the data range on the x-axis.

#### Questions

1. **What is the approximate percentage of buyers who paid between $890 and $1000?**
   
   _______ %

2. **What is the approximate percentage of buyers who paid between $945 and $1055?**
   
   _______ %

3. **What is the approximate percentage of buyers who paid between $835 and $1000?**
   
   _______ %

4. **What is the approximate percentage of buyers who paid more than $1110?**
   
   _______ %

5. **What is the approximate percentage of buyers who paid less than $835?**
   
   _______ %

6. **What is the approximate percentage of buyers who paid between $1000 and $1055?**
   
   _______ %

This graphical representation is crucial for understanding how prices vary around the mean, showcasing the likelihood and spread of different prices within the dataset. By analyzing this distribution, we can answer the questions above, providing insights into the purchasing behaviors and price trends for this HD television model.
Transcribed Image Text:### Understanding the Distribution of Prices for HD Televisions The graph below illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $55. #### Normal Distribution Graph ![Distribution of Prices](image-url-here) **Description:** The graph shows a bell-shaped curve, which is characteristic of a normal distribution. The x-axis represents the distribution of prices ranging from $835 to $1165, while the peak of the curve represents the mean price of $1000. **Key Points on the Graph:** - **835**: Represents the lower bound of the data range on the x-axis. - **890**: A point below the mean price by 2 standard deviations. - **945**: A point below the mean price by 1 standard deviation. - **1000**: The mean price paid. - **1055**: A point above the mean price by 1 standard deviation. - **1110**: A point above the mean price by 2 standard deviations. - **1165**: Represents the upper bound of the data range on the x-axis. #### Questions 1. **What is the approximate percentage of buyers who paid between $890 and $1000?** _______ % 2. **What is the approximate percentage of buyers who paid between $945 and $1055?** _______ % 3. **What is the approximate percentage of buyers who paid between $835 and $1000?** _______ % 4. **What is the approximate percentage of buyers who paid more than $1110?** _______ % 5. **What is the approximate percentage of buyers who paid less than $835?** _______ % 6. **What is the approximate percentage of buyers who paid between $1000 and $1055?** _______ % This graphical representation is crucial for understanding how prices vary around the mean, showcasing the likelihood and spread of different prices within the dataset. By analyzing this distribution, we can answer the questions above, providing insights into the purchasing behaviors and price trends for this HD television model.
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