〔Ⅳ〕 問1 平均値: x = 176 + 154 + 170 + 162 + 158 820 = = 164 (cm) 5 5 中央値:162(cm) 分散: sx 2 = (176 x )2 + (154 x )2 + (170 x )2 + (162 x )2 + (158 x )2 320 = = 64 5 5 標準偏差: sx = 8 (cm) 問2 平均値: y = 64 + 55 + 57 + 61 + 53 290 = = 58 (kg) 5 5 中央値:57(kg) 分散: sy 2 = (64 y)2 + (55 y )2 + (57 y )2 + (61 y )2 + (53 y)2 80 = = 16 5 5 標準偏差: sy = 4 (kg) 問3 共分散: sxy = 12 ⋅ 6 + ( −10) ⋅ ( −3) + 6 ⋅ ( −1) + ( −2) ⋅ 3 + ( −6) ⋅ ( −5) 120 = = 24 5 5 相関係数: r = sxy sx sy = 24 3 = = 0.75 8⋅4 4
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