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〔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