GSA1072 STATISTIK ASAS

GSA1072 STATISTIK ASAS

TUGASAN 2 STATISTIK ASASData Tidak Terkumpul Kumpulan AUKURAN KECENDERUNGAN MEMUSATMarkah : 61, 63, 65, 67, 67, 69, 70, 70, 70, 72, 74, 76, 77, 78, 78, 79, 79, 80, 80, 83, 90Mod : Data dengan kekerapan paling tinggiMod = 70Min : = NMin = 61+63+65+67+67+69+70+70+70+72+74+76+77+78+78+79+79+80+80+83+90 21 = 1548 21 = 73.71

Median : nilai ke (n + 1) 2Median = 21 + 1 2 = 11 (nilai ke-)61, 63, 65, 67, 67, 69, 70, 70, 70, 72, 74, 76, 77, 78, 78, 79, 79, 80, 80, 83, 90Median = 74

UKURAN SERAKANJulat : Nilai tertinggi Nilai terendahJulat = 90 61 = 29

Varian : 2 NVarian x

6161 73.71 = - 12.71161.54

6363 73.71 = - 10.71114.70

6565 73.71 = - 8.7175.86

6767 73.71 = - 6.7145.02

6767 73.71 = - 6.7145.02

6969 73.71 = - 4.7122.18

7070 73.71 = - 3.7113.76

7070 73.71 = - 3.7113.76

7070 73.71 = - 3.7113.76

7272 73.71 = - 1.712.92

7474 73.71 = 0.290.08

7676 73.71 = 2.295.24

7777 73.71 = 3.2910.82

7878 73.71 = 4.2918.40

7878 73.71 = 4.2918.40

7979 73.71 = 5.2927.98

7979 73.71 = 5.2927.98

8080 73.71 = 6.2939.56

8080 73.71 = 6.2939.56

8383 73.71 = 9.2986.30

9090 73.71 = 16.29265.36

=161.54+114.70+75.86+45.02+45.02+22.18+13.76+13.76+13.76+2.92+0.08+5.24+10.82+ 18.40+18.40+27.98+27.98+39.56+39.56+86.30+265.36 21=1048.2 21=49.91

Sisihan Piawai : 2 NSisihan Piawai : 21

Data Terkumpul Kumpulan AUKURAN KECENDERUNGAN MEMUSATSelang Kelas(Markah)KekerapanKekerapan LonggokanTitik TengahSempadanBawahSempadanAtas

55 - 59005754.559.5

60 - 64226259.564.5

65 - 69466764.569.5

70 - 745117269.574.5

75 - 796177774.579.5

80 - 843208279.584.5

85 - 890208784.589.5

90 - 941219289.594.5

95 - 990219794.599.5

Kelas Mod =74.5 + =74.5 + (1) (4)=74.5 + (0.25)5=74.5 + 1.25=75.75Kelas Mod = 75 79

Min = = (262) + (467) + (572) + (677) + (3 2 + 4 + 5 + 6 + 3 + 1 = 124 + 268 + 360 + 462 + 246 + 92 21 = 1552 21= 73.90

Median Median : nilai ke (n + 1) 2Median = 21 + 1 2 = 11 (nilai ke-)= 69.5 + 5

= 69.5 + ( 4.5 ) 5 5= 69.5 + ( 0.9 ) 5= 69.5 + 4.5= 74

UKURAN SERAKANJulat : Titik tengah terbesar Titik tengah terkecil Julat = 92 62 = 30

Varian : 2 ( x2 ) (2622)+(4672)+(5722)+(6772)+(3822)+(1922) 2 + 4 + 5 + 6 + 3 + 1 = 7688 + 17956 + 25920 + 35574 + 20172 + 8464 21 = = 5513.04 ( 73.902 ) = 5513.04 5461.21 = 51.83

Sisihan Piawai : 2 ( x2 ) (73.902) 21 = = = 7.20

Data Tidak Terkumpul Kumpulan BUKURAN KECENDERUNGAN MEMUSATMarkah : 50, 53, 57, 57, 59, 60, 61, 61, 62, 62, 63, 63, 64, 66, 67, 67, 68, 68, 68, 74Mod : Data dengan kekerapan paling tinggiMod = 68

Min : = NMin = 50 + 53 + 57 + 57 + 59 + 60 + 61 + 61 + 62 + 62 + 63 + 63 + 64 + 66 + 67 + 67 + 68 + 68 + 68 + 74 20 = = 62.5

Median : nilai ke (n + 1) 2Median = = 10.5 (nilai ke-)50, 53, 57, 57, 59, 60, 61, 61, 62, 62, 63, 63, 64, 66, 67, 67, 68, 68, 68, 74 = = 62.5

UKURAN SERAKANJulat : Nilai tertinggi Nilai terendahJulat = 74 50 = 24Varian : 2 NVarianx

5050 62.5 = - 12.5156.25

5353 62.5 = - 9.590.25

5757 62.5 = - 5.530.25

5757 62.5 = - 5.530.25

5959 62.5 = - 3.512.25

6060 62.5 = - 2.56.25

6161 62.5 = -1.52.25

6161 62.5 = -1.52.25

6261 62.5 = - 0.50.25

6261 62.5 = - 0.50.25

6363 62.5 = 0.50.25

6363 62.5 = 0.50.25

6464 62.5 = 1.52.25

6666 62.5 = 3.512.25

6767 62.5 = 4.520.25

6767 62.5 = 4.520.25

6868 62.5 = 5.530.25

6868 62.5 = 5.530.25

6868 62.5 = 5.530.25

7474 62.5 = 11.5132.25

= 156.25 + 90.25 + 30.25 + 30.25 + 12.25 + 6.25 + 2.25 + 2.25 + 0.25 + 0.25 + 0.25 + 0.25 + 2.25 + 12.25 + 20.25 + 20.25 + 30.25 + 30.25 + 30.25 + 132.25 20= = 30.45

Sisihan Piawai : 2 N = = = 5.52

Data Terkumpul Kumpulan AUKURAN KECENDERUNGAN MEMUSATSelang Kelas(Markah)KekerapanKekerapanLonggokanTitikTengahSempadanBawahSempadanAtas

45 - 49004744.549.5

50 - 54225249.554.5

55 - 59355754.559.5

60 - 648136259.564.5

65 - 696196764.569.5

70 - 741207269.574.5

75 - 790207774.579.5

Kelas Mod =59.5 + =59.5 + (5) (7)=59.5 + (0.71)5=59.5 + 3.55=63.05Kelas Mod = 60 64

Min = = (252) + (357) + (862) + (667) + (1 2 + 3 + 8 + 6 + 1 = 104 + 171 + 496 + 402 + 72 20 = 1245 20= 62.25

Median Median : nilai ke (n + 1) 2Median = 20 + 1 2 = 10.5 (nilai ke-)= 59.5 + 8

= 59.5 + ( 5 ) 5 8= 59.5 + ( 0.63 ) 5= 59.5 + 3.13= 62.63

UKURAN SERAKANJulat : Titik tengah terbesar Titik tengah terkecil Julat = 72 52 = 20

Varian : 2 ( x2 ) (2522)+(3572)+(8622)+(6672)+(1722) 2 + 3 + 8 + 6 + 1 = 5408 + 9747 + 30752 + 26934 + 5184 20 = = 3901.25 ( 62.252 ) = 3901.25 3875.06 = 26.19

Sisihan Piawai : 2 ( x2 ) (62.252) 20 = = = 5.12

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