Use 5-point bins (95 to 99, 90 to 94, etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 70 91 73 80 99 85 78 72 78 90 74 84 90 88 70 99 95 95 99 71 Complete the frequency table below. Scores 95 to 99 90 to 94 85 to 89 80 to 84 75 to 79 70 to 74 Total Frequency Relative Frequency % % % % % % Cumulative Frequency
Use 5-point bins (95 to 99, 90 to 94, etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 70 91 73 80 99 85 78 72 78 90 74 84 90 88 70 99 95 95 99 71 Complete the frequency table below. Scores 95 to 99 90 to 94 85 to 89 80 to 84 75 to 79 70 to 74 Total Frequency Relative Frequency % % % % % % Cumulative Frequency
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![To create a frequency table for the set of exam scores provided, we will utilize 5-point bins (e.g., 95 to 99, 90 to 94, etc.). We will include columns for frequency, relative frequency, and cumulative frequency.
### Given Exam Scores:
70, 91, 73, 80, 99, 85, 78, 72, 78, 90, 74, 94, 80, 88, 70, 99, 95, 95, 99, 71
### Step-by-Step Process:
1. **Determine the Frequency:**
- Tally how many scores fall into each 5-point bin.
2. **Calculate the Relative Frequency:**
- The relative frequency is calculated as (Frequency / Total Number of Scores) * 100%.
3. **Compute the Cumulative Frequency:**
- The cumulative frequency is the running total of the frequencies, starting from the lowest bin to the highest.
### Frequency Table:
Complete the table below by filling in each column based on the given scores.
**Scores | Frequency | Relative Frequency (%) | Cumulative Frequency**
--- | --- | --- | ---
95 to 99 | | |
90 to 94 | | |
85 to 89 | | |
80 to 84 | | |
75 to 79 | | |
70 to 74 | | |
**Total** | **20** | **100%** |
### Explanation of the Table:
- **Scores:** Represents the range of scores in each bin.
- **Frequency:** The number of data points (scores) that fall within each bin.
- **Relative Frequency:** The percentage of the total data points that fall within each bin.
- **Cumulative Frequency:** The sum of the frequencies for the current bin and all previous bins.
### Completing the Table:
- **Calculate Frequencies:**
- 95 to 99: Scores = [99, 99, 99, 95, 95], Frequency = 5
- 90 to 94: Scores = [91, 90, 94], Frequency = 3
- 85 to 89: Scores = [85, 88], Frequency = 2
- 80 to 84: Scores = [80, 80], Frequency =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07f1fc-c1c5-43de-ad13-01ae8930f316%2F7151fe6f-5ee3-4b2f-bcf4-181858e23ed5%2F2443esh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To create a frequency table for the set of exam scores provided, we will utilize 5-point bins (e.g., 95 to 99, 90 to 94, etc.). We will include columns for frequency, relative frequency, and cumulative frequency.
### Given Exam Scores:
70, 91, 73, 80, 99, 85, 78, 72, 78, 90, 74, 94, 80, 88, 70, 99, 95, 95, 99, 71
### Step-by-Step Process:
1. **Determine the Frequency:**
- Tally how many scores fall into each 5-point bin.
2. **Calculate the Relative Frequency:**
- The relative frequency is calculated as (Frequency / Total Number of Scores) * 100%.
3. **Compute the Cumulative Frequency:**
- The cumulative frequency is the running total of the frequencies, starting from the lowest bin to the highest.
### Frequency Table:
Complete the table below by filling in each column based on the given scores.
**Scores | Frequency | Relative Frequency (%) | Cumulative Frequency**
--- | --- | --- | ---
95 to 99 | | |
90 to 94 | | |
85 to 89 | | |
80 to 84 | | |
75 to 79 | | |
70 to 74 | | |
**Total** | **20** | **100%** |
### Explanation of the Table:
- **Scores:** Represents the range of scores in each bin.
- **Frequency:** The number of data points (scores) that fall within each bin.
- **Relative Frequency:** The percentage of the total data points that fall within each bin.
- **Cumulative Frequency:** The sum of the frequencies for the current bin and all previous bins.
### Completing the Table:
- **Calculate Frequencies:**
- 95 to 99: Scores = [99, 99, 99, 95, 95], Frequency = 5
- 90 to 94: Scores = [91, 90, 94], Frequency = 3
- 85 to 89: Scores = [85, 88], Frequency = 2
- 80 to 84: Scores = [80, 80], Frequency =
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