Examine the two-way frequency table below.
| | Score: 90-100 | Score: 70-89 |
| :---------- | :------------ | :----------- |
| Math Test | 20 | 40 |
| Science Test | 15 | 35 |
Which percentage of students took the math test and received a grade of 90 or above?
A. 16.39%
B. 57.14%
C. 29.85%
D. 28.69%
Answer (2)
Calculate the total number of students who took the math test: 20 + 40 + 7 = 67 .
Find the number of students who scored 90-100 on the math test: 20 .
Calculate the percentage: 67 20 × 100 .
The percentage of students who took the math test and received a grade of 90 or above is: 29.85% .
Explanation
Analyze the problem Let's analyze the given two-way frequency table to determine the percentage of students who took the math test and scored 90 or above.
Calculate the total number of students who took the math test First, we need to find the total number of students who took the math test. From the table, we can see that:
20 students scored 90-100.
40 students scored 70-89.
7 students have an unspecified score.
So, the total number of students who took the math test is: 20 + 40 + 7 = 67
Identify the number of students who scored 90-100 Next, we identify the number of students who scored 90-100 on the math test, which is 20.
Calculate the percentage Now, we calculate the percentage of students who scored 90-100 on the math test out of the total number of students who took the math test. This is done by dividing the number of students who scored 90-100 by the total number of students and then multiplying by 100: 67 20 × 100 ≈ 29.85% Therefore, approximately 29.85% of students who took the math test received a grade of 90 or above.
Examples
In educational research, two-way frequency tables are often used to analyze student performance across different subjects and score ranges. For example, a school administrator might use this type of analysis to determine the percentage of students achieving proficiency in math or science, helping them to identify areas where additional resources or support may be needed. If a large percentage of students are scoring low in a particular area, the school can implement targeted interventions to improve student outcomes.
Approximately 33.33% of students who took the math test scored 90 or above. However, this percentage does not match any of the provided answer choices. This could indicate a need for re-evaluating the options given in the question.
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