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DATA MENTAH 
No NAMA SISWA NILAI No NAMA SISWA NILAI 
1 Mochammad Abdul Rosyid 81,2 51 Gusti Rama Dwi Nanda 86,6 
2 Muhammad Nu'man Rifai 83,6 52 Hasby Kurniawan 90,2 
3 Muhamad Rofi'i 82,8 53 Heru Rachwana J.N 83,9 
4 Nanda Dwi Priyono 84,7 54 Hisyam Barak R. 89,5 
5 Nandha Wijayanto 84,7 55 Imam Fauzi 92,1 
6 Noli Permana Putra 84,2 56 Iqbal Guntara 85,6 
7 Nur Cholis 91,6 57 Irfan ardli M. 83,9 
8 Nur Rimba Parwati 95,1 58 Kern Septyan Dwi C. 90,5 
9 Nurul Iqbal Qamdi 94,1 59 Kevin Mahendra A. 76,8 
10 Okki Andi Saputra 95,1 60 M. Fajar Mahardika Putra 82,5 
11 Pratama Miftachul Huda 95,1 61 Alfadio Pratama 78,6 
12 Rafi Arsabil 94,8 62 Dana Prahara Mukti 77,9 
13 Rino Avianda Trisna 95,1 63 Abdul Syarif Sukamto 89,4 
14 Rivo Valla 95,1 64 Abdullah 76,7 
15 Rizal Akbar 87,3 65 Achmad Ziana Yusuf 89,5 
16 Rizki Zainullah 87,5 66 Adi Purnomo 78,8 
17 Rosyid Pratomo 91,7 67 Agoeng Dodi Setyawan 74,5 
18 Saifulloh 84,9 68 Ahmad Bintang Pamungkas 75,3 
19 Septa Raga Aji 85,7 69 Ahmad Rizaldy H. 74,3 
20 Septian Alif Pratama 90,2 70 Alamsyah Aulia W. 74,5 
21 Shandi Buana Aziz 89,1 71 Aldiawan Dwi Cahyo 73,6 
22 Sigit Wicaksono 79,2 72 Alfredo Darmawan 78,9 
23 Singgih Prasetyo 90,4 73 Alif Fandi 77,5 
24 Sunardi 91,5 74 Alif Raffian A. 77,3 
25 Syaiful Esa Dzulfikar 92,7 75 Amir Syarifuddin 76,7 
26 Syaiful Hakim 89,1 76 Angga Setyawan Saputra 78,8 
27 Taufik Hidayat 84,7 77 Anggit Trisarmanto Hakim 87,5 
28 Taufiqur Rizki 90,6 78 Annas Sirul Khamim 75,6 
29 Teddi Barianto 89,4 79 Anton Wahyudi 73,3 
30 Titto Aries Setiawan 85,4 80 Ardiyanto 78,3 
31 Imam Arifin 84,4 81 Arga Nata Prakasa 76,4 
32 Mahastra Kawiyarwan 84,7 82 Arga Septiawan 77,4 
33 Dio Alif Purwanto 83,2 83 Ari Nurman Pratama 78,3 
34 Ditia Satria Perdana 87,7 84 Avinda Tedi DS 89,5 
35 Diyan Eka Saputra 80,5 85 Ayu Cholivatus N.A 92,1 
36 Djody Kusdarsono 86,7 86 Ayu Nurdjanah 85,6 
37 Dodik Indrayana 80,9 87 Bagus Kurniawan 83,9 
38 Dwi Prihartono 87,4 88 Bayu Nugraha Pratama 90,5 
39 Eko Yudhi Guntoro 89,6 89 Bimo Aji Anggoro 76,8 
40 Fachmi Amalia Ananta 92,6 90 Bintang Dwi S. 82,5 
41 Fachrur Setyawan 92,3 91 Candra Dwi Kurniawan 78,6 
42 Fajar Adhi Nugroho 86,6 92 Chichi Puspasari 77,9 
43 Febri Yusti B.T 89,2 93 Corina Melzi Q. 89,4 
44 Febriansyah 90,4 94 Denar Gutama Harja 76,7 
1
45 Febri Setya Putra 88,9 95 Denny Pratama 77,5 
46 Ferry Ferdianto 92,2 96 Devi Wulandari 76,5 
47 Firdaus Pradana 88,1 97 Dini Rizka Meilasari 77,3 
48 Gesang Fajar Ginanjar 92,1 98 Bagus Suhantigo 80,3 
49 Gilang Akbar Saputra 96,6 99 Reza Amir Baihaqi 80,2 
50 Gilang Febriyanto K.R 78,6 100 Samsul Maarif 80,1 
*Data diambil dari penilaian kelas X Teknik Audio Vidio SMK Negeri 3 Suraya 
DATA OLAHAN 
No NAMA SISWA NILAI No NAMA SISWA NILAI 
2
79 Anton Wahyudi 73,3 18 Saifulloh 84,9 
71 Aldiawan Dwi Cahyo 73,6 30 Titto Aries Setiawan 85,4 
69 Ahmad Rizaldy H. 74,3 56 Iqbal Guntara 85,6 
67 Agoeng Dodi Setyawan 74,5 86 Ayu Nurdjanah 85,6 
70 Alamsyah Aulia W. 74,5 19 Septa Raga Aji 85,7 
68 Ahmad Bintang Pamungkas 75,3 42 Fajar Adhi Nugroho 86,6 
78 Annas Sirul Khamim 75,6 51 Gusti Rama Dwi Nanda 86,6 
81 Arga Nata Prakasa 76,4 36 Djody Kusdarsono 86,7 
96 Devi Wulandari 76,5 15 Rizal Akbar 87,3 
64 Abdullah 76,7 38 Dwi Prihartono 87,4 
75 Amir Syarifuddin 76,7 16 Rizki Zainullah 87,5 
94 Denar Gutama Harja 76,7 77 Anggit Trisarmanto Hakim 87,5 
59 Kevin Mahendra A. 76,8 34 Ditia Satria Perdana 87,7 
89 Bimo Aji Anggoro 76,8 47 Firdaus Pradana 88,1 
74 Alif Raffian A. 77,3 45 Febri Setya Putra 88,9 
97 Dini Rizka Meilasari 77,3 21 Shandi Buana Aziz 89,1 
82 Arga Septiawan 77,4 26 Syaiful Hakim 89,1 
73 Alif Fandi 77,5 43 Febri Yusti B.T 89,2 
95 Denny Pratama 77,5 29 Teddi Barianto 89,4 
62 Dana Prahara Mukti 77,9 63 Abdul Syarif Sukamto 89,4 
92 Chichi Puspasari 77,9 93 Corina Melzi Q. 89,4 
80 Ardiyanto 78,3 54 Hisyam Barak R. 89,5 
83 Ari Nurman Pratama 78,3 65 Achmad Ziana Yusuf 89,5 
50 Gilang Febriyanto K.R 78,6 84 Avinda Tedi DS 89,5 
61 Alfadio Pratama 78,6 39 Eko Yudhi Guntoro 89,6 
91 Candra Dwi Kurniawan 78,6 20 Septian Alif Pratama 90,2 
66 Adi Purnomo 78,8 52 Hasby Kurniawan 90,2 
76 Angga Setyawan Saputra 78,8 23 Singgih Prasetyo 90,4 
72 Alfredo Darmawan 78,9 44 Febriansyah 90,4 
22 Sigit Wicaksono 79,2 58 Kern Septyan Dwi C. 90,5 
100 Samsul Maarif 80,1 88 Bayu Nugraha Pratama 90,5 
99 Reza Amir Baihaqi 80,2 28 Taufiqur Rizki 90,6 
98 Bagus Suhantigo 80,3 24 Sunardi 91,5 
35 Diyan Eka Saputra 80,5 7 Nur Cholis 91,6 
37 Dodik Indrayana 80,9 17 Rosyid Pratomo 91,7 
1 Mochammad Abdul Rosyid 81,2 48 Gesang Fajar Ginanjar 92,1 
60 M. Fajar Mahardika Putra 82,5 55 Imam Fauzi 92,1 
90 Bintang Dwi S. 82,5 85 Ayu Cholivatus N.A 92,1 
3 Muhamad Rofi'i 82,8 46 Ferry Ferdianto 92,2 
33 Dio Alif Purwanto 83,2 41 Fachrur Setyawan 92,3 
2 Muhammad Nu'man Rifai 83,6 40 Fachmi Amalia Ananta 92,6 
53 Heru Rachwana J.N 83,9 25 Syaiful Esa Dzulfikar 92,7 
57 Irfan ardli M. 83,9 9 Nurul Iqbal Qamdi 94,1 
87 Bagus Kurniawan 83,9 12 Rafi Arsabil 94,8 
6 Noli Permana Putra 84,2 8 Nur Rimba Parwati 95,1 
31 Imam Arifin 84,4 10 Okki Andi Saputra 95,1 
3
4 Nanda Dwi Priyono 84,7 11 Pratama Miftachul Huda 95,1 
5 Nandha Wijayanto 84,7 13 Rino Avianda Trisna 95,1 
27 Taufik Hidayat 84,7 14 Rivo Valla 95,1 
32 Mahastra Kawiyarwan 84,7 49 Gilang Akbar Saputra 98,2 
Data Terbesar Data Terkecil Rentang Banyak Kelas Interval Panjang Kelas Interval 
98.2 73.3 24.9 7.57396791 3.557142857 
Nilai ujian frekuensi (fi) Xi fiXi 
73.0-76.9 14 74.5 1043 
77.0-80.9 21 78.5 1648.5 
81.0-84.9 16 82.5 1320 
85.0-88.9 14 86.5 1211 
89.0-92.9 27 90.5 2443.5 
93.0-96.9 7 94.5 661.5 
97.0-100.9 1 98.5 98.5 
JUMLAH 100 8426 
4 
Nilai Ujian
b = Data 100, data ke-50 
= 84,7 – 0,05 
= 84,65 
f = 16 
p = 3 b1= 16 – 21 
= -5 
F = 14 + 21 
= 35 
b2 = 16 – 14 
= 2 
1. MEAN 
2. MEDIAN 
Keterangan : 
1. b = batas bawah kelas median 
2. p = panjang kelas median 
3. n = banyak data 
4. F = jumlah semua frekuensi dengan tanda kelas < dari 
tanda kelas median 
5. f = frekuensi kelas median 
5 
Nilai Ujian
3. MODUS 
Keterangan : 
1. b = batas bawah kelas modal 
2. p = panjang kelas modal 
3. b1 = frekuensi kelas modal dikurangi kelas interval 
dengan tanda kelas < sebelum tanda keals modal 
4. b2 = frekuensi kelas modal dikurangi kelas interval 
dengan tanda kelas > sebelum tanda keals modal 
TUGAS 2 
6
4. STANDAR DEVIASI 
CARA 1 
No Nilai Ujian fi xi xi- (xi- )2 fi(xi- )2 
1 73.0-76.9 14 74.5 -9.76 95.2576 1333.606 
2 77.0-80.9 21 78.5 -5.76 33.1776 696.7296 
3 81.0-84.9 16 82.5 -1.76 3.0976 49.5616 
4 85.0-88.9 14 86.5 2.24 5.0176 70.2464 
5 89.0-92.9 27 90.5 6.24 38.9376 1051.315 
6 93.0-96.9 7 94.5 10.24 104.8576 734.0032 
7 97.0-100.9 1 98.5 14.24 202.7776 202.7776 
Σ 10 
0 
4138.24 
= 6,46 
CARA 2 
No Nilai Ujian fi xi xi2 fixi fi.xi2 
1 73.0-76.9 14 74.5 5550.25 1043 77703.5 
2 77.0-80.9 21 78.5 6162.25 1648.5 129407.25 
3 81.0-84.9 16 82.5 6806.25 1320 108900 
4 85.0-88.9 14 86.5 7482.25 1211 104751.5 
5 89.0-92.9 27 90.5 8190.25 2443.5 221136.75 
6 93.0-96.9 7 94.5 8930.25 661.5 62511.75 
7 97.0-100.9 1 98.5 9702.25 98.5 9702.25 
Σ 10 
0 
8426 
714113 
7
= 6,465 
CARA 3 (CARA SANDI) 
No Nilai Ujian fi ci ci2 fi.ci fi.ci2 
1 73.0-76.9 14 -3 9 -42 126 
2 77.0-80.9 21 -2 4 -42 84 
3 81.0-84.9 16 -1 1 -16 16 
4 85.0-88.9 14 0 0 0 0 
5 89.0-92.9 27 1 1 27 27 
6 93.0-96.9 7 2 4 14 28 
7 97.0-100.9 1 3 9 3 9 
Σ 10 
0 
-56 290 
8
= 4,84 
9
= 4,84 
9

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OPTIMAL_DATA

  • 1. DATA MENTAH No NAMA SISWA NILAI No NAMA SISWA NILAI 1 Mochammad Abdul Rosyid 81,2 51 Gusti Rama Dwi Nanda 86,6 2 Muhammad Nu'man Rifai 83,6 52 Hasby Kurniawan 90,2 3 Muhamad Rofi'i 82,8 53 Heru Rachwana J.N 83,9 4 Nanda Dwi Priyono 84,7 54 Hisyam Barak R. 89,5 5 Nandha Wijayanto 84,7 55 Imam Fauzi 92,1 6 Noli Permana Putra 84,2 56 Iqbal Guntara 85,6 7 Nur Cholis 91,6 57 Irfan ardli M. 83,9 8 Nur Rimba Parwati 95,1 58 Kern Septyan Dwi C. 90,5 9 Nurul Iqbal Qamdi 94,1 59 Kevin Mahendra A. 76,8 10 Okki Andi Saputra 95,1 60 M. Fajar Mahardika Putra 82,5 11 Pratama Miftachul Huda 95,1 61 Alfadio Pratama 78,6 12 Rafi Arsabil 94,8 62 Dana Prahara Mukti 77,9 13 Rino Avianda Trisna 95,1 63 Abdul Syarif Sukamto 89,4 14 Rivo Valla 95,1 64 Abdullah 76,7 15 Rizal Akbar 87,3 65 Achmad Ziana Yusuf 89,5 16 Rizki Zainullah 87,5 66 Adi Purnomo 78,8 17 Rosyid Pratomo 91,7 67 Agoeng Dodi Setyawan 74,5 18 Saifulloh 84,9 68 Ahmad Bintang Pamungkas 75,3 19 Septa Raga Aji 85,7 69 Ahmad Rizaldy H. 74,3 20 Septian Alif Pratama 90,2 70 Alamsyah Aulia W. 74,5 21 Shandi Buana Aziz 89,1 71 Aldiawan Dwi Cahyo 73,6 22 Sigit Wicaksono 79,2 72 Alfredo Darmawan 78,9 23 Singgih Prasetyo 90,4 73 Alif Fandi 77,5 24 Sunardi 91,5 74 Alif Raffian A. 77,3 25 Syaiful Esa Dzulfikar 92,7 75 Amir Syarifuddin 76,7 26 Syaiful Hakim 89,1 76 Angga Setyawan Saputra 78,8 27 Taufik Hidayat 84,7 77 Anggit Trisarmanto Hakim 87,5 28 Taufiqur Rizki 90,6 78 Annas Sirul Khamim 75,6 29 Teddi Barianto 89,4 79 Anton Wahyudi 73,3 30 Titto Aries Setiawan 85,4 80 Ardiyanto 78,3 31 Imam Arifin 84,4 81 Arga Nata Prakasa 76,4 32 Mahastra Kawiyarwan 84,7 82 Arga Septiawan 77,4 33 Dio Alif Purwanto 83,2 83 Ari Nurman Pratama 78,3 34 Ditia Satria Perdana 87,7 84 Avinda Tedi DS 89,5 35 Diyan Eka Saputra 80,5 85 Ayu Cholivatus N.A 92,1 36 Djody Kusdarsono 86,7 86 Ayu Nurdjanah 85,6 37 Dodik Indrayana 80,9 87 Bagus Kurniawan 83,9 38 Dwi Prihartono 87,4 88 Bayu Nugraha Pratama 90,5 39 Eko Yudhi Guntoro 89,6 89 Bimo Aji Anggoro 76,8 40 Fachmi Amalia Ananta 92,6 90 Bintang Dwi S. 82,5 41 Fachrur Setyawan 92,3 91 Candra Dwi Kurniawan 78,6 42 Fajar Adhi Nugroho 86,6 92 Chichi Puspasari 77,9 43 Febri Yusti B.T 89,2 93 Corina Melzi Q. 89,4 44 Febriansyah 90,4 94 Denar Gutama Harja 76,7 1
  • 2. 45 Febri Setya Putra 88,9 95 Denny Pratama 77,5 46 Ferry Ferdianto 92,2 96 Devi Wulandari 76,5 47 Firdaus Pradana 88,1 97 Dini Rizka Meilasari 77,3 48 Gesang Fajar Ginanjar 92,1 98 Bagus Suhantigo 80,3 49 Gilang Akbar Saputra 96,6 99 Reza Amir Baihaqi 80,2 50 Gilang Febriyanto K.R 78,6 100 Samsul Maarif 80,1 *Data diambil dari penilaian kelas X Teknik Audio Vidio SMK Negeri 3 Suraya DATA OLAHAN No NAMA SISWA NILAI No NAMA SISWA NILAI 2
  • 3. 79 Anton Wahyudi 73,3 18 Saifulloh 84,9 71 Aldiawan Dwi Cahyo 73,6 30 Titto Aries Setiawan 85,4 69 Ahmad Rizaldy H. 74,3 56 Iqbal Guntara 85,6 67 Agoeng Dodi Setyawan 74,5 86 Ayu Nurdjanah 85,6 70 Alamsyah Aulia W. 74,5 19 Septa Raga Aji 85,7 68 Ahmad Bintang Pamungkas 75,3 42 Fajar Adhi Nugroho 86,6 78 Annas Sirul Khamim 75,6 51 Gusti Rama Dwi Nanda 86,6 81 Arga Nata Prakasa 76,4 36 Djody Kusdarsono 86,7 96 Devi Wulandari 76,5 15 Rizal Akbar 87,3 64 Abdullah 76,7 38 Dwi Prihartono 87,4 75 Amir Syarifuddin 76,7 16 Rizki Zainullah 87,5 94 Denar Gutama Harja 76,7 77 Anggit Trisarmanto Hakim 87,5 59 Kevin Mahendra A. 76,8 34 Ditia Satria Perdana 87,7 89 Bimo Aji Anggoro 76,8 47 Firdaus Pradana 88,1 74 Alif Raffian A. 77,3 45 Febri Setya Putra 88,9 97 Dini Rizka Meilasari 77,3 21 Shandi Buana Aziz 89,1 82 Arga Septiawan 77,4 26 Syaiful Hakim 89,1 73 Alif Fandi 77,5 43 Febri Yusti B.T 89,2 95 Denny Pratama 77,5 29 Teddi Barianto 89,4 62 Dana Prahara Mukti 77,9 63 Abdul Syarif Sukamto 89,4 92 Chichi Puspasari 77,9 93 Corina Melzi Q. 89,4 80 Ardiyanto 78,3 54 Hisyam Barak R. 89,5 83 Ari Nurman Pratama 78,3 65 Achmad Ziana Yusuf 89,5 50 Gilang Febriyanto K.R 78,6 84 Avinda Tedi DS 89,5 61 Alfadio Pratama 78,6 39 Eko Yudhi Guntoro 89,6 91 Candra Dwi Kurniawan 78,6 20 Septian Alif Pratama 90,2 66 Adi Purnomo 78,8 52 Hasby Kurniawan 90,2 76 Angga Setyawan Saputra 78,8 23 Singgih Prasetyo 90,4 72 Alfredo Darmawan 78,9 44 Febriansyah 90,4 22 Sigit Wicaksono 79,2 58 Kern Septyan Dwi C. 90,5 100 Samsul Maarif 80,1 88 Bayu Nugraha Pratama 90,5 99 Reza Amir Baihaqi 80,2 28 Taufiqur Rizki 90,6 98 Bagus Suhantigo 80,3 24 Sunardi 91,5 35 Diyan Eka Saputra 80,5 7 Nur Cholis 91,6 37 Dodik Indrayana 80,9 17 Rosyid Pratomo 91,7 1 Mochammad Abdul Rosyid 81,2 48 Gesang Fajar Ginanjar 92,1 60 M. Fajar Mahardika Putra 82,5 55 Imam Fauzi 92,1 90 Bintang Dwi S. 82,5 85 Ayu Cholivatus N.A 92,1 3 Muhamad Rofi'i 82,8 46 Ferry Ferdianto 92,2 33 Dio Alif Purwanto 83,2 41 Fachrur Setyawan 92,3 2 Muhammad Nu'man Rifai 83,6 40 Fachmi Amalia Ananta 92,6 53 Heru Rachwana J.N 83,9 25 Syaiful Esa Dzulfikar 92,7 57 Irfan ardli M. 83,9 9 Nurul Iqbal Qamdi 94,1 87 Bagus Kurniawan 83,9 12 Rafi Arsabil 94,8 6 Noli Permana Putra 84,2 8 Nur Rimba Parwati 95,1 31 Imam Arifin 84,4 10 Okki Andi Saputra 95,1 3
  • 4. 4 Nanda Dwi Priyono 84,7 11 Pratama Miftachul Huda 95,1 5 Nandha Wijayanto 84,7 13 Rino Avianda Trisna 95,1 27 Taufik Hidayat 84,7 14 Rivo Valla 95,1 32 Mahastra Kawiyarwan 84,7 49 Gilang Akbar Saputra 98,2 Data Terbesar Data Terkecil Rentang Banyak Kelas Interval Panjang Kelas Interval 98.2 73.3 24.9 7.57396791 3.557142857 Nilai ujian frekuensi (fi) Xi fiXi 73.0-76.9 14 74.5 1043 77.0-80.9 21 78.5 1648.5 81.0-84.9 16 82.5 1320 85.0-88.9 14 86.5 1211 89.0-92.9 27 90.5 2443.5 93.0-96.9 7 94.5 661.5 97.0-100.9 1 98.5 98.5 JUMLAH 100 8426 4 Nilai Ujian
  • 5. b = Data 100, data ke-50 = 84,7 – 0,05 = 84,65 f = 16 p = 3 b1= 16 – 21 = -5 F = 14 + 21 = 35 b2 = 16 – 14 = 2 1. MEAN 2. MEDIAN Keterangan : 1. b = batas bawah kelas median 2. p = panjang kelas median 3. n = banyak data 4. F = jumlah semua frekuensi dengan tanda kelas < dari tanda kelas median 5. f = frekuensi kelas median 5 Nilai Ujian
  • 6. 3. MODUS Keterangan : 1. b = batas bawah kelas modal 2. p = panjang kelas modal 3. b1 = frekuensi kelas modal dikurangi kelas interval dengan tanda kelas < sebelum tanda keals modal 4. b2 = frekuensi kelas modal dikurangi kelas interval dengan tanda kelas > sebelum tanda keals modal TUGAS 2 6
  • 7. 4. STANDAR DEVIASI CARA 1 No Nilai Ujian fi xi xi- (xi- )2 fi(xi- )2 1 73.0-76.9 14 74.5 -9.76 95.2576 1333.606 2 77.0-80.9 21 78.5 -5.76 33.1776 696.7296 3 81.0-84.9 16 82.5 -1.76 3.0976 49.5616 4 85.0-88.9 14 86.5 2.24 5.0176 70.2464 5 89.0-92.9 27 90.5 6.24 38.9376 1051.315 6 93.0-96.9 7 94.5 10.24 104.8576 734.0032 7 97.0-100.9 1 98.5 14.24 202.7776 202.7776 Σ 10 0 4138.24 = 6,46 CARA 2 No Nilai Ujian fi xi xi2 fixi fi.xi2 1 73.0-76.9 14 74.5 5550.25 1043 77703.5 2 77.0-80.9 21 78.5 6162.25 1648.5 129407.25 3 81.0-84.9 16 82.5 6806.25 1320 108900 4 85.0-88.9 14 86.5 7482.25 1211 104751.5 5 89.0-92.9 27 90.5 8190.25 2443.5 221136.75 6 93.0-96.9 7 94.5 8930.25 661.5 62511.75 7 97.0-100.9 1 98.5 9702.25 98.5 9702.25 Σ 10 0 8426 714113 7
  • 8. = 6,465 CARA 3 (CARA SANDI) No Nilai Ujian fi ci ci2 fi.ci fi.ci2 1 73.0-76.9 14 -3 9 -42 126 2 77.0-80.9 21 -2 4 -42 84 3 81.0-84.9 16 -1 1 -16 16 4 85.0-88.9 14 0 0 0 0 5 89.0-92.9 27 1 1 27 27 6 93.0-96.9 7 2 4 14 28 7 97.0-100.9 1 3 9 3 9 Σ 10 0 -56 290 8