Chastota nima? Javobi

Quyidagi sonlar qatori uchun standart og‘ishishni hisoblang: 45,56,7,8,90,5,6,78,7,45,67,76,8.

Javob. Quyidagi qadam-qadam yechim orqali berilgan sonlar qatori uchun standart og'ishishni topish mumkin:

1. 
   Qatorning o'rtacha qiymatini topamiz:
   

(45 + 56 + 7 + 8 + 90 + 5 + 6 + 78 + 7 + 45 + 67 + 76 + 8) / 13 = 38.076923

2. 
   Har bir sonning o'rtacha qiymatdan ayirmasini topamiz:
   

(45 - 38.076923), (56 - 38.076923), (7 - 38.076923), (8 - 38.076923), (90 - 38.076923), (5 - 38.076923), (6 - 38.076923), (78 - 38.076923), (7 - 38.076923), (45 - 38.076923), (67 - 38.076923), (76 - 38.076923), (8 - 38.076923)
3. Ayirmaning kvadratini
49.938718, 307.441822, 1076.865244, 1099.512141, 2985.360117, 1098.780662, 1072.332310, 1489.084155, 1076.865244, 49.938718, 870.919977, 1409.204934, 1076.865244
4. Kvadrat
13040.244456
5. Yig'indini n-1 (bu yerda n=13) ga bo'lib, natijani dispersiya deb ataladigan formulada qo'shaymiz:
13040.244456 / 12 = 1086.687038
6.Natijani kvadrat ildizidan olib, standart og'ishishni topamiz:
Standart og'ish = sqrt(108
Shuningdek, standart og'ishish 38.076923 - 32.979299 = 5.097623 oralig'ida bo'ladi

38. 
    Quyidagi sonlar qatori uchun standart og‘ishishni hisoblang: 6,34,98,67,56,45,98,99,76,45,111,56,76,87,89.
    

Javob. Quyidagi sonlar qatori uchun standart og'ishishni topish uchun quyidagi qadamlarni bajarishimiz kerak:

1. 
   Qatorning o'rtacha qiymatini topamiz:
   

(6 + 34 + 98 + 67 + 56 + 45 + 98 + 99 + 76 + 45 + 111 + 56 + 76 + 87 + 89) / 15 = 67.6

2. 
   Har bir sonning o'rtacha qiymatdan ayirmasini topamiz:
   

(6 - 67.6), (34 - 67.6), (98 - 67.6), (67 - 67.6), (56 - 67.6), (45 - 67.6), (98 - 67.6), (99 - 67.6), (76 - 67.6), (45 - 67.6), (111 - 67.6), (56 - 67.6), (76 - 67.6), (87 - 67.6), (89 - 67.6)
3. Ayirmaning
3627.84, 1304.96, 917.64, 0.36, 136.96, 473.44, 917.64, 1016.64, 71.36, 515.84, 1656.76, 136.96, 71.36, 326.04, 263.16
4. Kvadratlar yig'indisini topamiz:
11337.44
5.Yig'indini n-1 (bu yerda n=15) ga bo'lib, natijani dispersiya deb ataladigan formulada qo'shaymiz:
11337.44 / 14 = 810.531429
6.Natijani kvadrat ildizidan olib, standart og'ishishni topamiz:
Standart og'ish = sqrt (810.
Shuningdek, standart og'ishish 67.6 - 28.472443 = 39.127557 oralig'ida bo'ladi.

39.