### Achievement Exam Data AnalysisAn achievement exam was administered to a population of 2,000 students. The scores for nine students from this population are provided below, along with their corresponding z-scores and percentile ranks. This data offers insight into how individual scores compare to the overall performance of the group.#### Exam Score Data Table| **TEST SCORE** | 49 | 53 | 69 | 73 | 83 | 87 | 93 | 97 | 99 ||:--------------:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|| **z score** | -3.0| -2.5| -0.5| 0 | 1.25| 1.75| 2.5 | 3.0 | 3.25|| **percentile rank** | 10 | 25 | 35 | 40 | 50 | 75 | 87 | 95 |### Explanation of Table1. **Test Scores**: These are the raw scores obtained by the students on the achievement exam.2. **z-score**: This indicates how many standard deviations a student's test score is from the mean score of the population. - A z-score of 0 represents the mean score. - Positive z-scores indicate scores above the mean. - Negative z-scores indicate scores below the mean.3. **Percentile Rank**: This represents the percentage of students who scored lower than the given test score. - A percentile rank of 10 means the student scored better than 10% of the population. - A higher percentile rank indicates a better performance relative to peers.This table helps in understanding the performance distribution within the population and provides a method to standardize the test scores via z-scores. **7. Using only the table information, the standard deviation of all the 2,000 students with the appropriate symbol used to denote this result is:**a) s = 18.39b) s = 4c) σ = 8d) σ = 6e) σ = 17.34

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Description: ### Achievement Exam Data AnalysisAn achievement exam was administered to a population of 2,000 students. The scores for nine students from this population are provided below, along with their corresponding z-scores and percentile ranks. This data o

It is given that number of observation (n) is 9.

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7. Using only the table information, the standard deviation of all the 2,000 students with the appropriate symbol used to c) σ-8 denote this result is: a) s = 18.39 b) s = 4 d) σ-6 e) σ- 17.34

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Question

### Achievement Exam Data Analysis

An achievement exam was administered to a population of 2,000 students. The scores for nine students from this population are provided below, along with their corresponding z-scores and percentile ranks. This data offers insight into how individual scores compare to the overall performance of the group.

#### Exam Score Data Table

| **TEST SCORE** | 49 | 53 | 69 | 73 | 83 | 87 | 93 | 97 | 99 |
|:--------------:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|
| **z score** | -3.0| -2.5| -0.5| 0 | 1.25| 1.75| 2.5 | 3.0 | 3.25|
| **percentile rank** | 10 | 25 | 35 | 40 | 50 | 75 | 87 | 95 |

### Explanation of Table

1. **Test Scores**: These are the raw scores obtained by the students on the achievement exam.
2. **z-score**: This indicates how many standard deviations a student's test score is from the mean score of the population.
- A z-score of 0 represents the mean score.
- Positive z-scores indicate scores above the mean.
- Negative z-scores indicate scores below the mean.
3. **Percentile Rank**: This represents the percentage of students who scored lower than the given test score.
- A percentile rank of 10 means the student scored better than 10% of the population.
- A higher percentile rank indicates a better performance relative to peers.

This table helps in understanding the performance distribution within the population and provides a method to standardize the test scores via z-scores.

**7. Using only the table information, the standard deviation of all the 2,000 students with the appropriate symbol used to denote this result is:**
a) s = 18.39
b) s = 4
c) σ = 8
d) σ = 6
e) σ = 17.34

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