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10.Descriptive Statistics

# 10.Descriptive Statistics - .2 10.1(Measures of Central...

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1 十、敘述統計學 ................................................................................................................................. 2 10.1 中心位置測定值 (Measures of Central Location) ............................................................. 2 10.1.1 算術平均值 (Arithmetic Mean ：簡稱均值、平均值 ) x ( 讀做 x bar) ..................... 2 10.1.1.1 算術平均值之性質 ............................................................................................ 2 10.1.2 中量 / 中位數 (Median) ：一般以 Me(M e ) Md(M d ) 表示 ......................................... 3 10.1.2.1 未分組數值的中位數 ........................................................................................ 3 10.1.2.2 分組數值的中位數 ............................................................................................ 4 10.1.3 四分位數 ..................................................................................................................... 5 10.1.3.1 未分組資料的四分位數 .................................................................................... 5 10.1.3.2 未分組資料的四分位數 .................................................................................... 6 10.1.4 百分位數 (Percentile) .................................................................................................. 7 10.1.4.1 未分組數值的百分位數 .................................................................................... 7 10.1.5 眾數 / 眾量 (mode) ........................................................................................................ 8 10.1.6 幾何平均值 / 幾何平均數 (Geometric Mean) ............................................................. 9 10.1.7 調和平均數 / 調和平均值 (Harmonic mean) .............................................................. 9 10.1.8 平方根平均值 (Quadratic Mean) ............................................................................ 10 10.1.9 縮減式平均值 / 裁減式平均值 Trimmed Mean ...................................................... 10 10.1.10 Winsorized Mean ................................................................................................... 10 10.2 分散度測定值 (Measures of Dispersion) .......................................................................... 11 10.2.1 全距及偏差 (Range and Deviation) ......................................................................... 11 10.2.1.1 平均偏差 / 平均差 (Mean Deviation, MD) or (Average Deviation, AD) ......... 11 10.2.2 變方與標準偏差 (variance and standard deviation) ............................................. 12 10.2.3 樣本變異數 / 樣本變方 (Sample Variance) - 均方 (Mean Square) ....................... 13 10.2.4 變方與標準偏差之性質 ........................................................................................... 14 10.2.4.1 設原樣本與新樣本方別為 .............................................................................. 14 10.2.4.2 設原樣本與新樣本方別為 .............................................................................. 14 10.2.4.3 利用算數平均值為依據所計算獲得的標準差，比其他非算數平均值所計 算獲得的標準差為小。 ............................................................................................... 14 10.2.5 標準誤差 (Standard Error, SE) ............................................................................... 14 標準誤差研讀報告 ....................................................................................................... 15 10.3 敘述性統計 SPSS 操作方法 .............................................................................................. 18

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