Augustinus Parulian Simangunsong 1209055038 Tugas Statistika

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15575756654567346756

30585778786867568778

56795789657665766565

43798789685490675656

56896587656778557854

78784687787866786736

95764689656589776579

66548967786876654590

67347678657578767795

67535768927856546596

Diketahui : Jumlah KelasK = 1 + 3.3 Log nK = 1 + 3.3 log 100K = 7,6 Rentang DataR = Xt XrR = 96 15R = 81 Panjang Kelas= R/K= 80/8= 10

IntervalFrekuensiFrekuensi KomulatifXiSimpangan (Xi-Simpangan Kuadrat(Xi- 2

10-191114,514,5-51,852688,4225

20-290124,50-41,851751,4225

30-394534,5138-31,851014,4225

40-4951044,5222,5-21,85477,4225

50-59203054,51090-11,85140,4225

60-69285864,51806-1,853,4225

70-79268474,519378,1566,4225

80-89109484,584518,15329,4225

90-99610094,557328,15792,4225

10066354537263,8025

1. Mean ( ) = /100 66,35

2. Median (Md)Md = b + p ( Md = 59,5 + 10 (Md = 59,5 + 7,2Md = 66, 7

3. ModusMo = b + p (Mo = 59,5 + 10 ( Mo = 59,5 + 8Mo = 67,5

4. Kuartil K1 = K1 = K1 = 25 K2 = K2 = K2 = 50 K3 = K3 = K3 = 75

5. Desil Letak D1 = D1 = (1/10) x 100D1 = 10D1 = TB + { xiD1 = 39,5 + { 10D1 = 39,5 + 1OD1 = 49,5 Letak D4 = D4 = (4/10) x 100D4 = 40

D4 = TB + { xiD4 = 59,5 + { 10D4 = 59,5 + 3,6D4 = 63,1

Letak D7 = D7 = (7/10) x 100D7 = 70D7 = TB + { xiD7 = 69,5 + { 10D7 = 69,5 + 4,6D7 = 64,1

Letak D9 = D9 = (9/10) x 100D9 = 90D9 = TB + { xiD9 = 79,5 + { 10D9 = 79,5 + 6D9 = 85,5

6. Persentil Letak P10 = P10 = (10/100) x 100P10 = 10P10 = TB + { xiP10 = 9,5 + { 10P10 = 9,5 + P20 = (20/100) x 100P20 = 20P20 = 49,5 + { 10P20 = 49,5 + 5P20 = 54,5 P60 = (60/100) x 100P60 = 60P60 = 69,5 + { 10P60 = 69,5 + 0,76P60 = 70,26 P80 = (80/100) x 100P80 = 80P80 = 69,5 + { 10P80 = 69,5 + 8,5P80 = 78

7. Simpangan baku

=

S = S = S = S = 7,82