Use the frequency distribution shown below to construct an expanded frequency distribution. High Temperatures (°F) Class 20-30 31-41 42-52 53-63 64-74 75-85 86-96 D Frequency, f 17 44 67 68 79 67 23 Complete the table below. High Temperatures (°F) (Round to the nearest hundredth as needed.) Relative frequency Cumulative frequency Class Frequency, f Midpoint 20-30 17
Use the frequency distribution shown below to construct an expanded frequency distribution. High Temperatures (°F) Class 20-30 31-41 42-52 53-63 64-74 75-85 86-96 D Frequency, f 17 44 67 68 79 67 23 Complete the table below. High Temperatures (°F) (Round to the nearest hundredth as needed.) Relative frequency Cumulative frequency Class Frequency, f Midpoint 20-30 17
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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Transcribed Image Text:**Using Frequency Distribution to Construct an Expanded Frequency Distribution**
The table below represents high temperatures (°F) with their corresponding frequencies:
| Class | Frequency, f |
|---------|--------------|
| 20-30 | 17 |
| 31-41 | 44 |
| 42-52 | 67 |
| 53-63 | 68 |
| 64-74 | 79 |
| 75-85 | 67 |
| 86-96 | 23 |
**Complete the Table Below:**
High Temperatures (°F)
*(Round to the nearest hundredth as needed.)*
| Class | Frequency, f | Midpoint | Relative Frequency | Cumulative Frequency |
|--------|--------------|----------|--------------------|----------------------|
| 20-30 | 17 | | | |
**Explanation of Components:**
- **Midpoint:** The average of the upper and lower bounds of each class interval.
- **Relative Frequency:** The proportion of the total frequency that falls within each class. Calculated as \( \frac{\text{Frequency of Class}}{\text{Total Frequency}} \).
- **Cumulative Frequency:** The running total of frequencies up to the upper boundary of each class interval.
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