The following box plot shows math test scores for a class of students. What is the highest score that the bottom 25% of students scored?

Rationale

The highest score that the bottom 25% of students scored is 59.

In a box plot, the lower quartile (25th percentile) represents the score below which 25% of the data falls. Thus, the highest score within this bottom 25% is indicated by the value at the lower quartile, which is 59 in this instance.

A (54) YOUR ANSWER

This score is below the 25th percentile and does not represent the highest score attained by the bottom 25% of students. It is part of the lower range of scores, but it does not mark the cutoff for the lower quartile.

B (59) CORRECT

This score exactly represents the upper boundary of the bottom 25% of students, marking the 25th percentile. Therefore, it is the highest score that can be attributed to this group, making it the correct answer.

C (76) YOUR ANSWER

This score exceeds the 25th percentile and is well above the upper limit of the bottom 25% of scores. It represents a higher ranking within the overall distribution of scores, thus cannot be part of the bottom quartile.

D (81) YOUR ANSWER

Similar to choice C, a score of 81 is significantly above the 25th percentile mark. It indicates a higher performance level and is not relevant to the bottom 25% of students.

Conclusion

In summary, the box plot's representation of student scores allows us to identify the highest score within the bottom 25% as 59. This score serves as the cutoff for the lower quartile, ensuring that all scores below it belong to the bottom portion of the class performance. The other choices reflect scores that fall either below or above this critical threshold, validating 59 as the correct answer.

The following box plot shows math test scores for a class of students. What is the highest score that the bottom 25% of students scored?

The highest score that the bottom 25% of students scored is 59.

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