Question 13

The range of the test scores is 57.

The range is calculated by subtracting the lowest score from the highest score in a dataset. In this case, the highest score is 98 and the lowest score is 41, resulting in a range of 98 - 41 = 57.

A) 33

This option is incorrect because a range of 33 would imply that the difference between the highest and lowest scores is only 33. Since the lowest score is 41 and the highest is 98, the difference is much larger than 33.

B) 52

Choosing 52 as the range is incorrect because it does not reflect the actual difference between the highest and lowest scores. The calculation of the range shows that the difference is significantly more than 52.

C) 57

This option is correct as it accurately represents the range of the test scores. By subtracting the lowest score of 41 from the highest score of 98, we arrive at a range of 57, confirming this choice as the correct answer.

D) 72

This option is incorrect because a range of 72 would indicate a much larger difference between the highest and lowest scores than the actual calculation shows. The highest and lowest scores differ by only 57 points.

Conclusion

The correct answer is 57, derived from the calculation of the highest score (98) minus the lowest score (41). All other options fail to accurately represent this difference, demonstrating a clear understanding of how to calculate the range in a set of test scores.