A city in the Pacific Northwest recorded its highest temperature at 87 degrees Fahrenheit and its lowest temperature at 39 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits (in degrees Fahrenheit) of the first class if you wish to construct a frequency distribution of temperatures throughout that particular year using 10 classes. O A. 39-42 O B. 39-43 O C. 34-44 O D. 39-44

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### Temperature Frequency Distribution Problem

A city in the Pacific Northwest recorded its highest temperature at 87 degrees Fahrenheit and its lowest temperature at 39 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits (in degrees Fahrenheit) of the first class if you wish to construct a frequency distribution of temperatures throughout that particular year using 10 classes.

#### Multiple Choice Answers:
- **A.** 39-42
- **B.** 39-43
- **C.** 34-44
- **D.** 39-44

#### Explanation:
To determine the appropriate class limits, follow these steps:
1. **Find the Range:**
   - The range is the difference between the highest and lowest temperatures.
   - Range = 87 - 39 = 48 degrees.

2. **Determine the Class Width:**
   - Class width is calculated by dividing the range by the number of classes.
   - Class width = 48 / 10 = 4.8 degrees.
   - You typically round this number up for simplicity. Therefore, the class width is 5 degrees.

3. **Establish the Class Limits:**
   - Starting at the lowest temperature (39 degrees), add the class width to find the upper limit of the first class.
   - First class: 39 to 39 + 5 - 1 = 39 to 44.

Given this calculation, option **D (39-44)** is the correct choice for the upper and lower limits of the first class.
Transcribed Image Text:### Temperature Frequency Distribution Problem A city in the Pacific Northwest recorded its highest temperature at 87 degrees Fahrenheit and its lowest temperature at 39 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits (in degrees Fahrenheit) of the first class if you wish to construct a frequency distribution of temperatures throughout that particular year using 10 classes. #### Multiple Choice Answers: - **A.** 39-42 - **B.** 39-43 - **C.** 34-44 - **D.** 39-44 #### Explanation: To determine the appropriate class limits, follow these steps: 1. **Find the Range:** - The range is the difference between the highest and lowest temperatures. - Range = 87 - 39 = 48 degrees. 2. **Determine the Class Width:** - Class width is calculated by dividing the range by the number of classes. - Class width = 48 / 10 = 4.8 degrees. - You typically round this number up for simplicity. Therefore, the class width is 5 degrees. 3. **Establish the Class Limits:** - Starting at the lowest temperature (39 degrees), add the class width to find the upper limit of the first class. - First class: 39 to 39 + 5 - 1 = 39 to 44. Given this calculation, option **D (39-44)** is the correct choice for the upper and lower limits of the first class.
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