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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 dass has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 96 429 353 375 346 546 88 169 115 217 330 249 238 332 3210 261 309 99 50 393 439 432 107 113 432 465 360 234 489 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 as needed.) Relative Cumulative Class Frequency Midpoint Frequency Frequency

Construct a frequency distribution for the given data set using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which dass has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 96 429 353 375 346 546 88 169 115 217 330 249 238 332 3210 261 309 99 50 393 439 432 107 113 432 465 360 234 489 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 as needed.) Relative Cumulative Class Frequency Midpoint Frequency Frequency

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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### Frequency Distribution Exercise **Objective:** Construct a frequency distribution for the given data set using 6 classes. Include midpoints, relative frequencies, and cumulative frequencies. Identify which class has the greatest and least frequency. **Data:** Amounts (in dollars) spent on books for a semester: 96, 429, 353, 375, 346, 546, 88, 169, 115, 217, 330, 249, 238, 332, 321, 261, 309, 99, 50, 393, 439, 432, 107, 113, 432, 465, 360, 234, 489 **Instructions:** - 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 class limits to the nearest whole number. - Round all other values to the nearest thousandth as needed. | **Class** | **Frequency** | **Midpoint** | **Relative Frequency** | **Cumulative Frequency** | |-----------|---------------|--------------|------------------------|--------------------------| | | | | | | **Steps to Complete the Table:** 1. **Determine Class Width:** - Subtract the smallest data value from the largest and divide by the number of classes. Round up if necessary. 2. **Set Class Limits:** - Start with the smallest data value as the lower limit of the first class. - Add class width to determine subsequent class limits. 3. **Count Frequencies:** - Tally how many data points fall into each class. 4. **Calculate Midpoints:** - Find the midpoint by averaging the upper and lower limits of each class. 5. **Compute Relative Frequencies:** - Divide the frequency of each class by the total number of data points. 6. **Calculate Cumulative Frequencies:** - Add the frequency of each class to the sum of the frequencies of all preceding classes. Note: Ensure to fill out each column accurately based on the given data.
Transcribed Image Text:### Frequency Distribution Exercise **Objective:** Construct a frequency distribution for the given data set using 6 classes. Include midpoints, relative frequencies, and cumulative frequencies. Identify which class has the greatest and least frequency. **Data:** Amounts (in dollars) spent on books for a semester: 96, 429, 353, 375, 346, 546, 88, 169, 115, 217, 330, 249, 238, 332, 321, 261, 309, 99, 50, 393, 439, 432, 107, 113, 432, 465, 360, 234, 489 **Instructions:** - 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 class limits to the nearest whole number. - Round all other values to the nearest thousandth as needed. | **Class** | **Frequency** | **Midpoint** | **Relative Frequency** | **Cumulative Frequency** | |-----------|---------------|--------------|------------------------|--------------------------| | | | | | | **Steps to Complete the Table:** 1. **Determine Class Width:** - Subtract the smallest data value from the largest and divide by the number of classes. Round up if necessary. 2. **Set Class Limits:** - Start with the smallest data value as the lower limit of the first class. - Add class width to determine subsequent class limits. 3. **Count Frequencies:** - Tally how many data points fall into each class. 4. **Calculate Midpoints:** - Find the midpoint by averaging the upper and lower limits of each class. 5. **Compute Relative Frequencies:** - Divide the frequency of each class by the total number of data points. 6. **Calculate Cumulative Frequencies:** - Add the frequency of each class to the sum of the frequencies of all preceding classes. Note: Ensure to fill out each column accurately based on the given data.
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