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Tugas Statistik & Probabilitas - Simpangan Baku Ridwan Abdul Rauuf – 11-013-004 Universitas Sarjanaiwayata Tamansiswa x f xi ( Xi - Ẋ ) 2 f( Xi - Ẋ ) 2 f.xi 2 ( f.xi ) 2 40 – 44 8 42 191,82 1534,56 14112 112896 45 – 49 12 47 78,32 939,84 26508 318096 50 – 54 19 52 14,82 281,58 51376 976144 55 – 59 31 57 1,32 40,92 100719 3122289 60 – 64 20 62 37,82 756,40 76880 1537600 65 – 69 6 67 124,32 745,92 26934 161604 70 – 74 4 72 260,82 1043,28 20736 82944 Jumlah 100 5342,50 317265 6311573 METODE BIASA = 42 . 8 +47 . 12 +52 . 19 +57 . 31 +62 . 20 +67 . 6+72 . 4 100 = 5585 100 = 55,85 S 2 = f ( Xi) 2 n = 5342,5 100 = 53,425 S = 53,425 = 7,309 METODE ANGKA KASAR hbvhdbvhdbhf

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Page 1: V Arians

Tugas Statistik & Probabilitas - Simpangan Baku

Ridwan Abdul Rauuf – 11-013-004

Universitas Sarjanaiwayata Tamansiswa

x f xi ( Xi - Ẋ )2 f( Xi - Ẋ )2 f.xi2 ( f.xi )2

40 – 44 8 42 191,82 1534,56 14112 11289645 – 49 12 47 78,32 939,84 26508 31809650 – 54 19 52 14,82 281,58 51376 97614455 – 59 31 57 1,32 40,92 100719 312228960 – 64 20 62 37,82 756,40 76880 153760065 – 69 6 67 124,32 745,92 26934 16160470 – 74 4 72 260,82 1043,28 20736 82944Jumlah 100 5342,50 317265 6311573

METODE BIASA

Ẋ = 42 .8+47 .12+52 .19+57 .31+62 .20+67 .6+72 .4

100 = 5585100

= 55,85

S2 = ∑ f (Xi−Ẋ )2

n

= 5342,5100

= 53,425

S = √53,425= 7,309

METODE ANGKA KASAR

hbvhdbvhdbhf