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2025年大學(xué)統(tǒng)計(jì)學(xué)期末考試數(shù)據(jù)分析計(jì)算題庫(kù)高分攻略考試時(shí)間:______分鐘總分:______分姓名:______一、描述性統(tǒng)計(jì)量計(jì)算要求:計(jì)算給定數(shù)據(jù)集的均值、中位數(shù)、眾數(shù)、方差、標(biāo)準(zhǔn)差、最小值、最大值和四分位數(shù)。1.某班級(jí)學(xué)生的身高數(shù)據(jù)如下(單位:cm):160,165,170,175,180,175,170,165,160,170,175,180,175,170,165,165,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180,175,170,165,160,170,175,180四、假設(shè)檢驗(yàn)要求:根據(jù)給定的數(shù)據(jù),進(jìn)行假設(shè)檢驗(yàn),包括選擇合適的檢驗(yàn)方法、計(jì)算檢驗(yàn)統(tǒng)計(jì)量、確定臨界值和得出結(jié)論。1.某種產(chǎn)品的重量均值μ為200克,假設(shè)其標(biāo)準(zhǔn)差σ為20克?,F(xiàn)從生產(chǎn)線上抽取了20個(gè)樣本,樣本均值為198克,樣本標(biāo)準(zhǔn)差為18克。請(qǐng)進(jìn)行假設(shè)檢驗(yàn),檢驗(yàn)零假設(shè)μ=200克,顯著性水平α=0.05。五、回歸分析要求:根據(jù)給定的數(shù)據(jù),進(jìn)行線性回歸分析,包括確定回歸模型、計(jì)算回歸系數(shù)、進(jìn)行假設(shè)檢驗(yàn)和預(yù)測(cè)。1.某地區(qū)居民的平均收入(Y)與該地區(qū)的人口密度(X)之間存在關(guān)系。已知以下數(shù)據(jù):|人口密度(X)|平均收入(Y)||----------------|---------------||0.5|3000||1.0|3500||1.5|4000||2.0|4500||2.5|5000|請(qǐng)進(jìn)行線性回歸分析,求出回歸方程,并進(jìn)行假設(shè)檢驗(yàn)。六、方差分析要求:根據(jù)給定的數(shù)據(jù),進(jìn)行方差分析,包括確定假設(shè)、計(jì)算檢驗(yàn)統(tǒng)計(jì)量、確定臨界值和得出結(jié)論。1.某種藥物對(duì)三種不同疾病的治療效果進(jìn)行了比較,分別選取了20名患者進(jìn)行試驗(yàn)。試驗(yàn)結(jié)果如下:|疾病A|疾病B|疾病C||--------|--------|--------||5|8|3||7|6|5||4|9|7||6|5|6||8|7|4||5|8|3||7|6|5||4|9|7||6|5|6||8|7|4||5|8|3||7|6|5||4|9|7||6|5|6||8|7|4||5|8|3||7|6|5||4|9|7||6|5|6||8|7|4|請(qǐng)進(jìn)行方差分析,檢驗(yàn)三種疾病治療效果是否有顯著差異,顯著性水平α=0.05。本次試卷答案如下:一、描述性統(tǒng)計(jì)量計(jì)算1.均值:計(jì)算所有數(shù)據(jù)的總和除以數(shù)據(jù)個(gè)數(shù)。解析思路:將所有數(shù)據(jù)相加,
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