III. The table below shows the scores attained by high school graduates in an entrance exam for college Class interval f 65-69 70-74 75-79 80-84 85-89 90-94 95-99 2 8 10 9 2 2 n= X fx Σfx= d SIU fd Σfd= 21: quote rose to nsem eri bnit:notonic eotteitste ni stueen feet ort rebieno levisini eest 8 2 Ə ON 8 ▬▬▬▬ A3-34 ra 88-sa 27-28 $8-81 28

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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### Scores Attained by High School Graduates in an Entrance Exam for College

The table below presents the scores attained by high school graduates in a college entrance exam. The data is organized into class intervals, with corresponding frequencies and columns designated for various statistical calculations.

| Class Interval | Frequency (f) | Midpoint (x) | fx | Deviation (d) | fd |
|----------------|---------------|--------------|----|---------------|----|
| 65 - 69        | 2             |              |    |               |    |
| 70 - 74        | 8             |              |    |               |    |
| 75 - 79        | 10            |              |    |               |    |
| 80 - 84        | 9             |              |    |               |    |
| 85 - 89        | 7             |              |    |               |    |
| 90 - 94        | 2             |              |    |               |    |
| 95 - 99        | 2             |              |    |               |    |

Total: n =

\[
\sum fx = 
\]
\[
\sum fd = 
\]

### Explanation of Terms:
- **Class Interval**: The range of scores grouped together.
- **Frequency (f)**: The number of students who scored within the given class interval.
- **Midpoint (x)**: The midpoint of each class interval. It is calculated as the average of the lower and upper bounds of each interval.
- **fx**: The product of the frequency and the midpoint of each class interval.
- **Deviation (d)**: The difference between each midpoint and a reference value.
- **fd**: The product of the frequency and the deviation of each class interval.

### Steps to Complete the Table:
1. **Determine the Midpoint (x) for Each Class Interval**:
    - For the interval 65-69, the midpoint is (65+69)/2 = 67.
    - Repeat this calculation for each interval.

2. **Calculate fx**:
    - Multiply the frequency (f) by the midpoint (x) for each interval.

3. **Calculate d**:
    - Choose a reference value (often the median class midpoint or mean midpoint) and subtract each interval’s midpoint from this reference.

4. **Calculate fd**:
    - Multiply the frequency (
Transcribed Image Text:### Scores Attained by High School Graduates in an Entrance Exam for College The table below presents the scores attained by high school graduates in a college entrance exam. The data is organized into class intervals, with corresponding frequencies and columns designated for various statistical calculations. | Class Interval | Frequency (f) | Midpoint (x) | fx | Deviation (d) | fd | |----------------|---------------|--------------|----|---------------|----| | 65 - 69 | 2 | | | | | | 70 - 74 | 8 | | | | | | 75 - 79 | 10 | | | | | | 80 - 84 | 9 | | | | | | 85 - 89 | 7 | | | | | | 90 - 94 | 2 | | | | | | 95 - 99 | 2 | | | | | Total: n = \[ \sum fx = \] \[ \sum fd = \] ### Explanation of Terms: - **Class Interval**: The range of scores grouped together. - **Frequency (f)**: The number of students who scored within the given class interval. - **Midpoint (x)**: The midpoint of each class interval. It is calculated as the average of the lower and upper bounds of each interval. - **fx**: The product of the frequency and the midpoint of each class interval. - **Deviation (d)**: The difference between each midpoint and a reference value. - **fd**: The product of the frequency and the deviation of each class interval. ### Steps to Complete the Table: 1. **Determine the Midpoint (x) for Each Class Interval**: - For the interval 65-69, the midpoint is (65+69)/2 = 67. - Repeat this calculation for each interval. 2. **Calculate fx**: - Multiply the frequency (f) by the midpoint (x) for each interval. 3. **Calculate d**: - Choose a reference value (often the median class midpoint or mean midpoint) and subtract each interval’s midpoint from this reference. 4. **Calculate fd**: - Multiply the frequency (
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