In a distribution of 850 different measurements, x centimeters is at the 73rd percentile If there are 68 measurements in the dis

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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 x厘米这个数据位于第73个百分位数上,说明在这个分布中的数据小于x厘米的概率是73%。大于y厘米、小于x厘米的范围有68个数据,说明在这个分布中的数据大于y厘米、小于x厘米发生的概率是68/850=8%。则y厘米这个数据的百分位数,也就是数据小于y厘米所发生的概率就等于73%-8%=65%,故答案为E。下图可以很好地说明以上关系。
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