GMAT数学辅导系列:Percentile及其解法详述
<p> 为了方便广大考生更好的复习,综合整理了<span word="GMAT">GMAT</span>数学辅导系列文章,愿大家都能取得好成绩。</p><p> <span word="ETS">ETS</span>明确规定<span word="Percentile">Percentile</span>是一定要求的一个统计量,不知道有没有<span word="G">G</span>友遇到过关于<span word="Percentile">Percentile</span>的数学题,因为<span word="Percentile">Percentile</span>的计算比较复杂,所以我在此对<span word="Percentile">Percentile</span>的求法详述,以方便<span word="G">G</span>友:</p><p> <span word="Percentile">Percentile</span>:<span word="percentbelow">percentbelow</span>用概念来说没什么用,而且易让人糊涂,所以在此我归纳出一个公式以供<span word="G">G</span>友参考。</p><p> 设一个序列供有<span word="n">n</span>个数,要求的<span word="Percentile">Percentile</span>:</p><p> 从小到大排序,求<span word="k">k</span>%,记整数部分为<span word="i">i</span>,小数部分为<span word="j">j</span></p><p> 所求结果=第个数+<span word="j">j</span>第个数</p><p> 特别注意以下两种最可能考的情况:</p><p> <span word="j">j</span>为0,即<span word="k">k</span>%恰为整数,则结果恰为第个数</p><p> 第个数与第个数相等,不用算也知道正是这两个数。</p><p> 注意:我前面提到的<span word="Quartile">Quartile</span>也可用这种方法计算,</p><p> 其中1<span word="stQuartile">stQuartile</span>的<span word="k">k</span>%=25%</p><p> 2<span word="ndQuartile">ndQuartile</span>的<span word="k">k</span>%=50%</p><p> 3<span word="rdQuartile">rdQuartile</span>的<span word="k">k</span>%=75%</p><p> 计算结果一样。</p><p> 例:</p><p> {1,3,4,5,6,7,8,9,19,29,39,49,59,69,79,80}共16个样本</p><p> 30%:30%=4.5=4+0.5</p><p> 第5个数+0.5第6个数=0.56+0.57=6.5</p>
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