Grade on Business Statistics Exam A: 90-100 B: 80 - 89 C: 70 - 79 D: 60-69 F: 60 below Total: Frequency 34 94 36 22 200 Relative Frequenc 1.0 0.07

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 5E
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Complete the table below:
**Grade Distribution and Frequency Table for Business Statistics Exam**

The table below presents the distribution of grades for a Business Statistics Exam. The grades are categorized from A to F, based on the numerical score ranges, and the corresponding frequencies and relative frequencies are provided.

| Grade |  Range  | Frequency | Relative Frequency |
|-------|---------|-----------|-------------------|
|   A   | 90 - 100|     [     ]|        0.07        |
|   B   |  80 - 89|     34    |          [       ]|
|   C   |  70 - 79|     94    |          [       ]|
|   D   |  60 - 69|     36    |          [       ]|
|   F   | 60 below|     22    |          [       ]|
| Total |         |     200   |          1.0       |

### Analysis:

1. **Grade Ranges:**
   - Grade A: Scores between 90 and 100
   - Grade B: Scores between 80 and 89
   - Grade C: Scores between 70 and 79
   - Grade D: Scores between 60 and 69
   - Grade F: Scores below 60

2. **Frequency and Relative Frequency:**
   - The Frequency column indicates the number of students who received each grade.
   - The Relative Frequency column shows the proportion of students receiving each grade relative to the total number of students (200), with a total relative frequency value of 1.0.
   - The relative frequency for Grade A is provided as 0.07. The remaining values for other grades must be calculated based on the given frequencies and the total number of students (200).

### Calculation of Missing Values:
   - To fill in the missing relative frequencies, use the formula:
     \[
     \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Students}}
     \]
   - Calculate for Grade B as follows:
     \[
     \text{Relative Frequency for B} = \frac{34}{200} = 0.17
     \]
   - Calculate for Grade C as follows:
     \[
     \text{Relative Frequency for C} = \frac{94}{200} = 0.47
     \]
   - Calculate for Grade
Transcribed Image Text:**Grade Distribution and Frequency Table for Business Statistics Exam** The table below presents the distribution of grades for a Business Statistics Exam. The grades are categorized from A to F, based on the numerical score ranges, and the corresponding frequencies and relative frequencies are provided. | Grade | Range | Frequency | Relative Frequency | |-------|---------|-----------|-------------------| | A | 90 - 100| [ ]| 0.07 | | B | 80 - 89| 34 | [ ]| | C | 70 - 79| 94 | [ ]| | D | 60 - 69| 36 | [ ]| | F | 60 below| 22 | [ ]| | Total | | 200 | 1.0 | ### Analysis: 1. **Grade Ranges:** - Grade A: Scores between 90 and 100 - Grade B: Scores between 80 and 89 - Grade C: Scores between 70 and 79 - Grade D: Scores between 60 and 69 - Grade F: Scores below 60 2. **Frequency and Relative Frequency:** - The Frequency column indicates the number of students who received each grade. - The Relative Frequency column shows the proportion of students receiving each grade relative to the total number of students (200), with a total relative frequency value of 1.0. - The relative frequency for Grade A is provided as 0.07. The remaining values for other grades must be calculated based on the given frequencies and the total number of students (200). ### Calculation of Missing Values: - To fill in the missing relative frequencies, use the formula: \[ \text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Students}} \] - Calculate for Grade B as follows: \[ \text{Relative Frequency for B} = \frac{34}{200} = 0.17 \] - Calculate for Grade C as follows: \[ \text{Relative Frequency for C} = \frac{94}{200} = 0.47 \] - Calculate for Grade
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