Two classes take the same examination and the grades are recorded in the table below. The table gives the frequency distribution of grades in each class. Find the relative frequency distribution and the histogram for each class. Describe the difference in the grade distributions for the two classes. Number of students Grade 9 AM class 10 AM class F D с B A 9 16 22 10 6 13 19 10 21 20 Construct a relative frequency distribution of the data. Grade F D C B > A Relative Frequency 9 AM class ☐☐☐☐☐ 10 AM class 00000 (Round to the nearest thousandth as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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## Grade Distribution Analysis: 9 AM Class vs 10 AM Class

### Frequency Distribution Table

Two classes took the same examination, and their grades are recorded in the table below. This table gives the frequency distribution of grades in each class. The task is to find the relative frequency distribution and describe the grade distributions' differences.

#### Number of Students

| Grade | 9 AM Class | 10 AM Class |
|-------|------------|-------------|
|   F   |      9     |      13     |
|   D   |     16     |      19     |
|   C   |     22     |      10     |
|   B   |     10     |      21     |
|   A   |      6     |      20     |

### Relative Frequency Distribution

Construct a relative frequency distribution of the data. Relative frequency is calculated by dividing the frequency of each grade by the total number of students in the class. Round to the nearest thousandth as needed.

#### Relative Frequency Table

| Grade | Relative Frequency 9 AM Class | Relative Frequency 10 AM Class |
|-------|-------------------------------|--------------------------------|
|   F   |                               |                                |
|   D   |                               |                                |
|   C   |                               |                                |
|   B   |                               |                                |
|   A   |                               |                                |

### Instructions:

1. Calculate the total number of students for each class.
2. Compute the relative frequency for each grade by dividing the number of students with a specific grade by the total number of students in that class.
3. Fill in the relative frequency values in the corresponding table.

This exercise helps in understanding how grade distributions vary between different classes and how to interpret these distributions using relative frequencies.
Transcribed Image Text:## Grade Distribution Analysis: 9 AM Class vs 10 AM Class ### Frequency Distribution Table Two classes took the same examination, and their grades are recorded in the table below. This table gives the frequency distribution of grades in each class. The task is to find the relative frequency distribution and describe the grade distributions' differences. #### Number of Students | Grade | 9 AM Class | 10 AM Class | |-------|------------|-------------| | F | 9 | 13 | | D | 16 | 19 | | C | 22 | 10 | | B | 10 | 21 | | A | 6 | 20 | ### Relative Frequency Distribution Construct a relative frequency distribution of the data. Relative frequency is calculated by dividing the frequency of each grade by the total number of students in the class. Round to the nearest thousandth as needed. #### Relative Frequency Table | Grade | Relative Frequency 9 AM Class | Relative Frequency 10 AM Class | |-------|-------------------------------|--------------------------------| | F | | | | D | | | | C | | | | B | | | | A | | | ### Instructions: 1. Calculate the total number of students for each class. 2. Compute the relative frequency for each grade by dividing the number of students with a specific grade by the total number of students in that class. 3. Fill in the relative frequency values in the corresponding table. This exercise helps in understanding how grade distributions vary between different classes and how to interpret these distributions using relative frequencies.
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