Question

a teacher of gave a quiz that was worth 50 points. the range of quiz scores was 25 points. based on the range of quiz scores, which conclusion is most likely true?
① every quiz score was 25 points.
② the lowest quiz score was 25 points.
③ all of the quiz scores were between 10 points and 45 points.
④ the highest quiz score was 50 points and the lowest quiz score was 15 points.

Explanation:

Range is calculated as the difference between the highest and lowest values. If the range is 35 and the quiz is worth 50 points (maximum possible score), the lowest score would be highest score minus range: 50 - 35 = 15. Other options are incorrect because range does not indicate all scores are the same (A), the median (B), or half the scores in a specific interval (C).

Answer:

D. The highest quiz score was 50 points and the lowest quiz score was 15 points.