17. Which mathematical model did the teacher use to determine the student's summative score?
Answer: B
The teacher used the median to determine the student's summative score.
The median is the middle value in a data set when it is ordered from least to greatest, which is a method that can effectively summarize a student's performance, especially when there are outliers. In this case, the teacher rounded the score to the nearest tenth, indicating a focus on central tendency.
A) Average
The average, or mean, is calculated by summing all values and dividing by the total number of values. In this scenario, using the average could skew the result if there are outliers in the data set, which is why the teacher might have opted for the median instead.
B) Median
The median accurately represents the student's performance by identifying the middle score when all scores are arranged in order. This method is particularly useful in educational assessments where extreme values might distort the overall understanding of a student's achievement.
C) Linear trend
A linear trend involves identifying a consistent pattern or relationship in data over time. This approach does not apply to determining a single summative score, as it focuses on trends rather than central tendencies.
D) Curvilinear trend
A curvilinear trend examines relationships in data that are not linear, often requiring more complex analysis. Like the linear trend, this method is not relevant for finding a single summative score, making it an inappropriate choice for this context.
Conclusion
The median is the most suitable method for determining the student's summative score due to its ability to provide a central value that is not influenced by extreme scores. In contrast, the average, linear trend, and curvilinear trend do not adequately reflect the student's performance in this situation, either by skewing results or being irrelevant to the context of a single score assessment.