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  3. In a distribution of 850 different measurements, x centimeters is at the 73rd pe

In a distribution of 850 different measurements, x centimeters is at the 73rd pe

游客2024-01-12  67
问题 In a distribution of 850 different measurements, x centimeters is at the 73rd percentile. If there are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters, then y is approximately at what percentile in the distribution?
选项 A、45th
B、50th
C、55th
D、60th
E、65th
答案 E
解析 If x centimeters is at the 73rd percentile, then approximately 73% of the measurements in the distribution are less than or equal to x centimeters. The 68 measurements that are greater than y centimeters but less than x centimeters are(68/850)(100%), or 8%, of the distribution. Thus approximately 73% - 8%, or 65%, of the measurements are less than or equal to y centimeters, that is, y is approximately at the 65th percentile in the distribution. The correct answer is Choice E.
This explanation uses the following strategy.
Strategy 8: Search for a Mathematical Relationship
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