总方差与分组方差、组间方差的关系

甲班,乙班,甲班,乙班,全部,,,甲班,,乙班,,全部,

41,76,926.86,48.67,848.36,34.50,,,,,,,

62,63,89.20,36.28,66.04,50.79,,平均,71.44444444,平均,69.02325581,平均,70.12658228

72,78,0.31,80.58,3.51,61.99,,标准误差,2.219124826,标准误差,2.427575152,标准误差,1.659155462

84,75,157.64,35.72,192.47,23.75,,中位数,74.5,中位数,72,中位数,73

78,78,42.98,80.58,61.99,61.99,,众数,72,众数,75,众数,76

88,69,274.09,0.00,319.46,1.27,,标准差,13.31474895,标准差,15.91867483,标准差,14.74689632

76,67,20.75,4.09,34.50,9.78,,样本方差,177.2825397,样本方差,253.4042082,样本方差,217.470951

77,85,30.86,255.26,47.24,221.22,,峰度,4.806968899,峰度,4.928623641,峰度,4.864888715

82,75,111.42,35.72,140.98,23.75,,偏度,-1.830582229,偏度,-1.860578391,偏度,-1.862346543

78,74,42.98,24.77,61.99,15.00,,区域,67,区域,77,区域,77

66,62,29.64,49.33,17.03,66.04,,最小值,22,最小值,13,最小值,13

88,52,274.09,289.79,319.46,328.57,,最大值,89,最大值,90,最大值,90

72,78,0.31,80.58,3.51,61.99,,求和,2572,求和,2968,求和,5540

76,77,20.75,63.63,34.50,47.24,,观测数,36,观测数,43,观测数,79

75,72,12.64,8.86,23.75,3.51,,,,,,,

68,69,11.86,0.00,4.52,1.27,,,,,,,

71,51,0.20,324.84,0.76,365.83,,,,,,,

77,69,30.86,0.00,47.24,1.27,,,,,,,

53,69,340.20,0.00,293.32,1.27,,,,,,,

51,68,417.98,1.05,365.83,4.52,,,,,,,

76,81,20.75,143.44,34.50,118.23,,,,,,,

69,53,5.98,256.74,1.27,293.32,,,,,,,

77,65,30.86,16.19,47.24,26.28,,,,,,,

62,73,89.20,15.81,66.04,8.26,,,,,,,

69,66,5.98,9.14,1.27,17.03,,,,,,,

82,87,111.42,323.16,140.98,284.71,,,,,,,

80,62,73.20,49.33,97.48,66.04,,,,,,,

72,71,0.31,3.91,3.51,0.76,,,,,,,

64,90,55.42,440.02,37.54,394.95,,,,,,,

68,51,11.86,324.84,4.52,365.83,,,,,,,

89,80,308.20,120.49,356.21,97.48,,,,,,,

74,87,6.53,323.16,15.00,284.71,,,,,,,

85,13,183.75,3138.61,221.22,3263.45,,,,,,,

76,16,20.75,2811.47,34.50,2929.69,,,,,,,

22,90,2444.75,440.02,2316.17,394.95,,,,,,,

72,89,0.31,399.07,3.51,356.21,,,,,,,

,76,,48.67,,34.50,,,,,,,

,75,,35.72,,23.75,,,,,,,

,63,,36.28,,50.79,,,,,,,

,54,,225.70,,260.07,,,,,,,

,74,,24.77,,15.00,,,,,,,

,75,,35.72,,23.75,,,,,,,

,70,,0.95,,0.02,,,,,,,

(1)总体平均数与分组平均的关系,,,,,,,,,,,,

,,,,,,,,,,,,,

总平均=,70.13,,,,,,,,,,,

甲班平均=,71.44,,,,,,,,,,,

乙班平均=,69.02,,,,,,,,,,,

,,,,,,,,,,,,,

加权平均=,70.13,,,,,,,,,,,

,,,,,,,,,,,,,

（2）总方差与各组内方差与组间方差的关系,,,,,,,,,,,,

总方差=,214.71815,,,,,,,,,,,

甲班方差,172.3580,,,,,,,,,,,

乙班方