1. STATISTIKA DESKRIPTIF
LATIHAN SOAL
NOTASI SIGMA DAN
DASAR-DASAR STATISTIKA
DESKRIPTIF
NAMA = Caroline Marenta Simanjuntak
NIM =
KELAS =11.2A.04

2. Diketahui :
X1 = X2 = X3 = 6

3. = =
= 13 1.
X1 + X2 + X3 2.
= 4
= 4 (4 + 6)
= 4 (10)
= 40
(X2 + X3 )

4. 3 = n.k = 3 x 8 = 24 4 = (X1 + 3) + (X2 + 3) = (3 + 3) + (4 + 3)
= n.k
= 3 x 8
= 24 3 4
= (X1 + 3) + (X2 + 3)
= (3 + 3) + (4 + 3)
= 6 + 7
= 13

5. 5.
= (X1 - 2)2 + (X2 - 2)2 + (X3 - 2)2
= (3 - 2)2 + (4 - 2)2 + (6 - 2)2
= (1)2 + (2)2 + (4)2 =
= 21 6.
= (X12 – 2) + (X22 – 2) + (X32-2)
= (32 – 2) + (42 – 2) + (62-2)
= (9 – 2) + (16 – 2) + (36 – 2) =
= 55

6. 7.
= (X1 + X2 + X3)2 - 2
= ( )2 - 2
= (13)2 - 2
= 169 – 2 = 167 8.
= n.k
= 3.7
= 21

7. 9. = 5 = 5 (3 + 4 + 6) = 5 (13) = 65 10. = X1+X2+X3 + 2(X1+X2+X3)9.
= 5
= 5 ( )
= 5 (13)
= 65
(X1 + X2 + X3)
10.
= X1+X2+X3 + 2(X1+X2+X3)
= ( )
= (13) =
= 39

8. Diketahui :
Y1 = Y2 = X3 = 5

9. 1. Y1 + Y2 + Y3 = = 4 + 1 + 5 = 10 2. = 4 (Y2 + Y3) = 4 (1 + 5)= =
= 10 1.
Y1 + Y2 + Y3 2.
= 4
= 4 (1 + 5)
= 4 (6)
= 24
(Y2 + Y3)

10. 3. = n.k = 3 x 8 = 24 4. = (Y1 + 3) + (Y2 + 3) = (4 + 3) + (1 + 3)
= n.k
= 3 x 8
= 24 3. 4.
= (Y1 + 3) + (Y2 + 3)
= (4 + 3) + (1 + 3)
= 7 + 4
= 11

11. 6. = (Y12 – 2) + (Y22 – 2) + (Y32-2) = (42 – 2) + (12 – 2) + (52-2)5.
= (Y1 - 2)2 + (Y2 - 2)2 + (Y3 - 2)2
= (4 - 2)2 + (1 - 2)2 + (5 - 2)2
= (2)2 + (-1)2 + (3)2 =
= 14 6.
= (Y12 – 2) + (Y22 – 2) + (Y32-2)
= (42 – 2) + (12 – 2) + (52-2)
= (16 – 2) + (1– 2) + (25 – 2)
= 14 + (-1) + 23
= 36

12. 7. = (Y1 + Y2 + Y3)2 - 2 = (4 + 1 + 5)2 - 2 = (10)2 - 2 = 100 – 2 = 98
= (Y1 + Y2 + Y3)2 - 2
= ( )2 - 2
= (10)2 - 2
= 100 – 2 = 98 8.
= n.k
= 3.7
= 21

13. 9.
= 5 (
= 5 ( )
= 5 (10)
= 50
Y1 + Y2 + Y3)
10.
= (Y1 + Y2 + Y3) + 2 (Y1 + Y2 + Y3)
= ( ) + 2( )
= (10) =
= 30

14. TERIMA KASIH