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体操、跳水等体育比赛和戏剧、歌曲等文艺评比中,当一个选手动作完成或表演完毕后,先由受聘评委逐个亮分。然后采用“去掉一个最高分,去掉一个最低分”,再计算每个选手的平均得分。这种做法已为国内外很多赛事广泛采用。基于各自的观赏点,遇此情景观众中不免有唏嘘声。有的为砍掉最高分惋惜,有的为砍掉最低分庆幸。那么要问,这种评分方法依据何在?是否科学?
我们来分析一下。假定一次比赛有9个评委,9个评委给每个参赛选手所打分数,表现为一组数据。现在,我们就用9个评委给每个参赛选手所打分数的平均值作为这组数据的代表,来评价选手的成绩。这样做有时会出现什么问题呢?
如果9个评委给甲选手的打分是:89,78,79,77,76,75,81,79,74
计算得平均分为:78.67;
给乙选手的打分是:90,80,81,79,78,76,84,82,50
计算得平均分为77.78。
从平均分数上看,甲选手得分高于乙选手。
进一步分析这两个选手的得分会发现,除评委9为甲打的分数高于乙以外,其余评委为甲打的分数都比乙低,显然这样的比赛结果难以令人信服。什么会出现这种情况呢?因为平均值的大小与一组数据里的每个数据都有关系,其中任何数据的变动都会引起平均值的变动。如果数据中出现一两个极端数据,那么平均值对于这组数据所起的代表作用就会削弱。这里评委9给选手乙的打分远远低于其他评委,影响了平均值的代表性。评委9给选手乙所打的50分,远离其他人的打分,我们称这个数据值为异常值或离群值。
为了防止评委因为个人偏见而给出过高或者过低分数,人们想出了上述“去掉一个最高分,去掉一个最低分”的评分方法。这样可以避免异常值造成的影响。这种将少数异常值去掉后计算的均值也叫截尾均值。如果去掉最高分和最低分,我们来算一算,甲、乙两位选手的平均得分分别是多少?容易计算得:甲选手的平均分是77.86,乙选手的平均分是80。这样比赛结果就是乙选手成绩优于甲选手。显然这个结果比较公正。
截尾均值由于去掉了数据中影响数据稳定性的异常值,从而具有较好的稳健性。如果没有出现反常情况,去掉最高、最低分对平均分的影响是不大的。综合上述分析,我们知道:赛事组织者不讲情面的做法,是为了减少异常值对评分的影响,从而获得较为公正地反映选手水平的平均指标。
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呵呵,大家记得经常带兵进攻大宋的金兀术吧,金兀术是金国开国皇帝完颜阿骨打庶出第四子,汉化大名叫完颜宗粥。 他生了完颜亨,完颜亨生了完颜羊蹄,可不能说完颜宗弼一家没文化,这可能是民族…
2022年10月20日 -
一颗心,一面旗
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解放军驻香港部队某旅装步一连诞生于1927年秋收起义,是“支部建在连上”最早的连队之一,在党的领导下浴血奋战,屡建奇功,被授予“黄土岭功臣炮连”称号。 1997年7月1日,香港回归…
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十字五行属什么?解析十字五行的奥秘
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十字五行属什么?解析十字五行的奥秘 十字五行,作为中国古代玄学学说的一部分,是指通过对于地理环境的分析,利用天干地支和五行理论,运用来预测和解读个人命运。它是古代风水学中的重要组成…
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明天头伏第一天,把这5种饺子馅端上桌,时令性强,鲜嫩营养多汁
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“头伏饺子二伏面,三伏烙饼摊鸡蛋”,16号即将进入初伏,也就是头伏,三伏天分别为一伏、二伏、三伏,总共持续约40天,是一年之中最热且潮湿的时间段,北方高温酷暑,南方燥热潮湿,反正都…
2022年9月6日 -
琪的意思及寓意女孩名字,琪的意思及寓意男孩名字
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01 主持人:请说出同一偏旁四个不同字。 普通青年:江河湖海。 文艺青年:琴瑟琵琶。 二逼青年:哼嗬哈嘿! 化工青年:烷烯炔烃。 02 追问:五个字?其他人沉默。 化工青年:钾钙钠…
2023年6月7日 -
适合在公司用的花名男?适合在公司用的花名男生!
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人在职场,尤其刚入职,对他人的称呼,能体现出自身的素质和礼貌。如果称呼得当,大家都印象加分,能拉近彼此的距离,最起码不会得罪人;而叫错了或者不打招呼,会让人觉得冒冒失失、没大没小,…
2022年11月4日