2025年健康管理師（高級）健康數據分析與處理實操試卷考試時間：______分鐘總分：______分姓名：______一、選擇題（每題2分，共20分）1.健康數據統計分析中，以下哪一項不是描述集中趨勢的指標？A.平均數B.中位數C.標準差D.極差2.以下哪個統計量用于衡量數據的離散程度？A.平均數B.中位數C.標準差D.極差3.在健康數據分析中，以下哪個圖表最適合展示數據的分布情況？A.折線圖B.餅圖C.直方圖D.散點圖4.以下哪個統計量表示樣本中各數據點與平均數的偏差平方和的平均值？A.平均數B.中位數C.標準差D.極差5.健康數據中，以下哪個指標表示數據的集中趨勢？A.變異系數B.偏度C.峰度D.平均數6.在健康數據分析中，以下哪個指標表示數據的離散程度？A.變異系數B.偏度C.峰度D.平均數7.健康數據中，以下哪個指標表示數據的分布對稱性？A.變異系數B.偏度C.峰度D.平均數8.以下哪個統計量表示樣本中各數據點與平均數的偏差平方和的平均值？A.平均數B.中位數C.標準差D.極差9.在健康數據分析中，以下哪個圖表最適合展示兩個變量之間的關系？A.折線圖B.餅圖C.直方圖D.散點圖10.健康數據中，以下哪個指標表示數據的集中趨勢？A.變異系數B.偏度C.峰度D.平均數二、判斷題（每題2分，共20分）1.健康數據統計分析中，平均數、中位數和眾數都是描述集中趨勢的指標。（）2.在健康數據分析中，標準差和極差都是描述離散程度的指標。（）3.健康數據中，變異系數和偏度都是描述數據分布的指標。（）4.在健康數據分析中，餅圖最適合展示數據的分布情況。（）5.健康數據中，標準差和極差都是描述集中趨勢的指標。（）6.健康數據中，變異系數和峰度都是描述數據分布的指標。（）7.在健康數據分析中，直方圖最適合展示兩個變量之間的關系。（）8.健康數據中，平均數和中位數都是描述離散程度的指標。（）9.在健康數據分析中，散點圖最適合展示數據的分布情況。（）10.健康數據中，標準差和極差都是描述集中趨勢的指標。（）三、簡答題（每題10分，共30分）1.簡述健康數據分析的基本步驟。2.簡述標準差和極差在健康數據分析中的作用。3.簡述直方圖在健康數據分析中的應用。四、計算題（每題10分，共30分）1.某健康調查中，隨機抽取100名成年人，其身高（單位：cm）如下：170,172,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240。請計算這組數據的平均數、中位數、眾數和標準差。2.某地區某年居民健康調查中，抽取1000名居民，其體重指數（BMI）分布如下：15,16,16,16,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19本次試卷答案如下：一、選擇題（每題2分，共20分）1.C解析：平均數、中位數和眾數都是描述集中趨勢的指標，而標準差是描述離散程度的指標。2.C解析：標準差和極差都是描述離散程度的指標，用于衡量數據點之間的差異。3.C解析：直方圖能夠清晰地展示數據的分布情況，包括數據的集中趨勢和離散程度。4.C解析：標準差表示樣本中各數據點與平均數的偏差平方和的平均值。5.D解析：平均數表示數據的集中趨勢，即數據的一般水平。6.A解析：變異系數用于衡量數據的離散程度，是標準差與平均數的比值。7.B解析：偏度表示數據的分布對稱性，正偏表示數據分布的左側尾部較長。8.C解析：標準差表示樣本中各數據點與平均數的偏差平方和的平均值。9.D解析：散點圖最適合展示兩個變量之間的關系，通過點的分布情況來觀察變量間的相關性。10.D解析：平均數表示數據的集中趨勢，即數據的一般水平。二、判斷題（每題2分，共20分）1.×解析：平均數、中位數和眾數都是描述集中趨勢的指標，但眾數不是描述離散程度的指標。2.×解析：標準差和極差都是描述離散程度的指標，但它們不是描述集中趨勢的指標。3.×解析：變異系數和偏度都是描述數據分布的指標，但它們不是描述集中趨勢的指標。4.×解析：餅圖最適合展示分類數據的比例關系，而不是數據的分布情況。5.×解析：標準差和極差都是描述離散程度的指標，但它們不是描述集中趨勢的指標。6.×解析：變異系數和峰度都是描述數據分布的指標，但它們不是描述集中趨勢的指標。7.×解析：直方圖最適合展示數據的分布情況，而不是展示兩個變量之間的關系。8.×解析：平均數和中位數都是描述集中趨勢的指標，但它們不是描述離散程度的指標。9.×解析：散點圖最適合展示兩個變量之間的關系，而不是展示數據的分布情況。10.×解析：標準差和極差都是描述離散程度的指標，但它們不是描述集中趨勢的指標。三、簡答題（每題10分，共30分）1.解析：（1）數據收集：根據研究目的，收集相關健康數據。（2）數據清洗：對收集到的數據進行清洗，去除異常值和錯誤數據。（3）數據探索：對數據進行初步分析，了解數據的分布情況。（4）數據可視化：通過圖表等方式展示數據，便于觀察和分析。（5）統計分析：運用統計方法對數據進行處理和分析，得出結論。2.解析：標準差和極差都是描述離散程度的指標，但它們的作用有所不同。（1）標準差：表示樣本中各數據點與平均數的偏差平方和的平均值，用于衡量數據的波動程度。（2）極差：表示樣本中最大值與最小值之差，用于衡量數據的范圍。3.解析：直方圖在健康數據分析中的應用包括：（1）展示數據的分布情況，包括集中趨勢和離散程度。（2）觀察數據的分布形態，如正態分布、偏態分布等。（3）比較不同組別或不同時間點的數據分布情況。四、計算題（每題10分，共30分）1.解析：（1）平均數：將所有數據相加，然后除以數據個數。平均數=(170+172+...+238+239+240)/100=188.7（2）中位數：將數據從小到大排序，位于中間位置的數值。中位數=188（3）眾數：出現次數最多的數值。眾數=188（4）標準差：計算每個數據點與平均數的偏差平方和的平均值。標準差=√[((170-188.7)^2+(172-188.7)^2+...+(238-188.7)^2+(239-188.7)^2+(240-188.7)^2)/100]≈8.82.解析：（1）平均數：將所有數據相加，然后除以數據個數。平均數=(15+16+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19+19+...+19