Question

1. all 25 students in a chemistry class took a test. each student earned a test score that was an integer number of points, and no 2 students earned the same test score. the median test score was 80 points. how many students earned a test score that was greater than 80 points?

f. 12
g. 13
h. 14
j. 20

Explanation:

Identify the total number of data points and median position

The total number of students is \(N = 25\). Since \(N\) is odd, the median is the value at the exact middle position when the scores are ordered:

$$ \text{Median Position} = \frac{N + 1}{2} = \frac{25 + 1}{2} = 13 $$

Determine the number of scores above the median

The 13th score in the ordered list is the median, which is 80 points. Since all 25 scores are distinct integers, there are exactly 12 scores below the median (positions 1 to 12) and exactly 12 scores above the median (positions 14 to 25):

$$ \text{Scores greater than 80} = 25 - 13 = 12 $$

Answer:

• F. 12 (Correct answer)
• G. 13
• H. 14
• J. 20