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Construct a frequency distribution for the given data set using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 269 258 331 84 482 511 430 508 446 158 87 405 381 320 245 447 408 358 50 485 269 412 395 95 304 403 473 87 315 Complete the table, starting with the lowest class limit Use the minimum data entry as the lower limit of the first class. (Type integers or decimals. Round the class limits to the nearest whole number Round all other values to the nearest thousandth s needed) Relative Frequency Frequency Midpoint Class 50-60 Cumulative Frequency D

Construct a frequency distribution for the given data set using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 269 258 331 84 482 511 430 508 446 158 87 405 381 320 245 447 408 358 50 485 269 412 395 95 304 403 473 87 315 Complete the table, starting with the lowest class limit Use the minimum data entry as the lower limit of the first class. (Type integers or decimals. Round the class limits to the nearest whole number Round all other values to the nearest thousandth s needed) Relative Frequency Frequency Midpoint Class 50-60 Cumulative Frequency D

MATLAB: An Introduction with Applications
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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### Constructing a Frequency Distribution for Book Expenses To understand how students are spending on books each semester, we will create a frequency distribution using the provided data set. This will help us organize and analyze how often specific ranges of amounts are spent. #### Given Data The amounts (in dollars) spent on books for a semester by students are: 269, 258, 331, 84, 482, 511, 430, 508, 446, 158, 87, 405, 381, 320, 245, 447, 408, 358, 50, 485, 269, 412, 395, 95, 304, 403, 473, 87, 315 #### Steps for Creating the Frequency Distribution 1. Use 6 classes to categorize the data. 2. Include the midpoint for each class. 3. Use the minimum data entry as the lower limit of the first class. 4. Round the class limits to the nearest whole number and round all other values to one more decimal place, if necessary. #### Frequency Distribution Table <table> <tr> <th>Class</th> <th>Frequency</th> </tr> <tr> <td>50 - 60</td> <td></td> </tr> <!-- Continue filling the table with the subsequent ranges --> </table> #### Completing the Table The first class is set from 50 to 60. To complete the frequency distribution table: 1. Determine the range of the data. 2. Calculate the class width by dividing the range by six. 3. Identify the class boundaries. 4. Count the frequency of data points within each class. By organizing the data into these classes, we can make the data more understandable and identify any patterns or trends in book spending among students. Feel free to apply these steps to complete the frequency distribution for your dataset!
Transcribed Image Text:### Constructing a Frequency Distribution for Book Expenses To understand how students are spending on books each semester, we will create a frequency distribution using the provided data set. This will help us organize and analyze how often specific ranges of amounts are spent. #### Given Data The amounts (in dollars) spent on books for a semester by students are: 269, 258, 331, 84, 482, 511, 430, 508, 446, 158, 87, 405, 381, 320, 245, 447, 408, 358, 50, 485, 269, 412, 395, 95, 304, 403, 473, 87, 315 #### Steps for Creating the Frequency Distribution 1. Use 6 classes to categorize the data. 2. Include the midpoint for each class. 3. Use the minimum data entry as the lower limit of the first class. 4. Round the class limits to the nearest whole number and round all other values to one more decimal place, if necessary. #### Frequency Distribution Table <table> <tr> <th>Class</th> <th>Frequency</th> </tr> <tr> <td>50 - 60</td> <td></td> </tr> <!-- Continue filling the table with the subsequent ranges --> </table> #### Completing the Table The first class is set from 50 to 60. To complete the frequency distribution table: 1. Determine the range of the data. 2. Calculate the class width by dividing the range by six. 3. Identify the class boundaries. 4. Count the frequency of data points within each class. By organizing the data into these classes, we can make the data more understandable and identify any patterns or trends in book spending among students. Feel free to apply these steps to complete the frequency distribution for your dataset!
### Frequency Distribution Table - Book Expenses for a Semester #### Instructions: Construct a frequency distribution for the given dataset using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Complete the table by starting with the lowest class limit using the minimum data entry as the lower limit of the first class. Type integers or decimals and round the class limits to the nearest whole number. Round all other values to the nearest thousandth as needed. #### Dataset: Amount (in dollars) spent on books for a semester: - 269, 258, 331, 84, 482, 511, 430, 506, 446, 158, 87, 405, 381, 320, 245, 447, 408, 358, 50, 485, 269, 412, 395, 95, 304, 403, 473, 87, 315 #### Frequency Distribution Table: | **Class** | **Frequency** | **Midpoint** | **Relative Frequency** | **Cumulative Frequency** | |-----------|---------------|--------------|------------------------|--------------------------| | 50-60 | | | | | | 61-71 | | | | | | 72-82 | | | | | | 83-93 | | | | | | 94-104 | | | | | | 105-115 | | | | | | ... | | | | | --- #### Explanation: 1. **Class Limits**: Determine the range of values each class covers starting from the minimum value in the dataset. 2. **Frequency**: Count how many data points fall within each class range. 3. **Midpoint**: Calculate the midpoint of each class by averaging the lower and upper class limits. 4. **Relative Frequency**: Calculate by dividing the class frequency by the total number of data points. 5. **Cumulative Frequency**: Sum the frequencies of the current class and all preceding classes. #### Task Objective: Identify which class has the greatest frequency and which class has the least frequency. ##### Note: Use the given numbers to calculate and fill in the frequency table accordingly.
Transcribed Image Text:### Frequency Distribution Table - Book Expenses for a Semester #### Instructions: Construct a frequency distribution for the given dataset using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Complete the table by starting with the lowest class limit using the minimum data entry as the lower limit of the first class. Type integers or decimals and round the class limits to the nearest whole number. Round all other values to the nearest thousandth as needed. #### Dataset: Amount (in dollars) spent on books for a semester: - 269, 258, 331, 84, 482, 511, 430, 506, 446, 158, 87, 405, 381, 320, 245, 447, 408, 358, 50, 485, 269, 412, 395, 95, 304, 403, 473, 87, 315 #### Frequency Distribution Table: | **Class** | **Frequency** | **Midpoint** | **Relative Frequency** | **Cumulative Frequency** | |-----------|---------------|--------------|------------------------|--------------------------| | 50-60 | | | | | | 61-71 | | | | | | 72-82 | | | | | | 83-93 | | | | | | 94-104 | | | | | | 105-115 | | | | | | ... | | | | | --- #### Explanation: 1. **Class Limits**: Determine the range of values each class covers starting from the minimum value in the dataset. 2. **Frequency**: Count how many data points fall within each class range. 3. **Midpoint**: Calculate the midpoint of each class by averaging the lower and upper class limits. 4. **Relative Frequency**: Calculate by dividing the class frequency by the total number of data points. 5. **Cumulative Frequency**: Sum the frequencies of the current class and all preceding classes. #### Task Objective: Identify which class has the greatest frequency and which class has the least frequency. ##### Note: Use the given numbers to calculate and fill in the frequency table accordingly.
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