TARQATMA MATERIALLAR
Ona tilida o’qib berilgan 16 ta so’zdan 25 ta tekshiriluvchi quyidagi miqdordagi so’zlarni to’g’ri esga tushirishdi: 8, 10, 6, 6, 7, 9, 7, 7, 3, 4, 7, 5, 7, 11, 8, 6, 10, 5, 6, 8, 6, 7, 7, 9, 10.
Natijalarni jadval chastotalar taqsimlanishi va chastotalar poligoni shaklida tasvirlang.
30 ta talabalar bilan o’tkazilgan tajribada quyidagi natijalar olindi: 46, 50, 25, 48, 42, 74, 48, 47, 43, 66, 39, 50, 54, 49, 40, 53, 48, 62, 41, 36, 45, 49, 51, 59, 46, 48, 37, 42, 53, 41.
Natijalarni sinflar intervali 5 birlik qilib olib, guruhlashtiring va chastotalar poligonini chizing.
30 ta tekshiriluvchida o’tkazilgan tajribada quyidagi natijalar olingan: 29, 134, 54, 32, 30, 38, 20, 7, 10, 74, 14, 7, 4, 5, 18, 97, 13, 40, 51, 23, 2, 84, 9, 35, 9, 5, 1, 8, 2, 69.
Eng mos sinflar intervalini tanlab, chastotalar taqsimotini jadval shaklida ifodalang va gistogramma tuzing.
30 ta tekshiriluvchida o’tkazilgan tajribada quyidagi natijalar olingan: 30, 35, 43, 45, 53, 56, 60, 60, 64, 65, 70, 74, 83, 83, 97, 105, 110, 120, 120, 124, 130, 134, 140, 147, 149, 149, 170, 219, 230, 300.
25 birlik asosida sinflar intervalidan foydalanib, chastotalar taqsimoti jadvali va gistogrammasini tuzing.
20 ta tekshiriluvchi bilan o’tkazilgan tajribada quyidagi natijalar olindi: 60, 69, 80, 80, 90, 90, 92, 96, 105, 114, 115, 123, 125, 125, 160, 172, 210, 240, 254, 256.
25 birlik asosida sinflar intervalidan foydalanib, chastotalar taqsimoti jadvali va gistogrammasini tuzing.
8, 10, 6, 6, 7, 9, 7, 7, 3, 4, 7, 5, 7, 11, 8, 6, 10, 5, 6, 8, 6, 7, 7, 9, 10 – natijalar uchun o’rtacha arifmetik qiymatni hisoblang.
4, 5, 5, 5, 4, 6, 6, 5, 7, 6, 5, 5, 5, 7, 6, 5, 4, 5, 4, 5, 6, 5, 6, 3, 7, 6, 7, 6, 6, 8, 7, 6, 7, 6, 7, 7, 6, 6, 6, 6, 7, 8, 6, 7, 5, 5, 7, 6, 6, 5, 6, 7, 6, 5, 7, 5, 6, 7, 6, 4, 8, 6, 6, 5, 7, 6, 5, 7, 7, 8, 5, 6, 5, 6, 5, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 7, 7, 6, 6, 6, 5, 4, 6, 5, 6, 5, 5, 5, 5, 7, 6, 9, 5 – natijalar uchun o’rtacha arifmetik qiymatni toping.
Vaqt Chastota
140 – 144,99 0
135 – 139,99 2
130 – 134,99 5
125 – 129,99 6
120 – 124,99 15
115 – 119,99 10
110 – 114,99 8
105 – 109,99 4
100 – 104,99 0
Ushbu ko’rsatkichlar uchun o’rtacha arifmetik qiymatni toping.
N=30 bo’lganda M=15 va N–45 bo’lganda M=18 bo’lgan ko’rsatkichlar uchun umumiy o’rtacha arifmetik qiymatni toping.
N=32 bo’lganda M=24, N=54 bo’lganda M=31, N=16 bo’lganda M=35 ko’rsatkichlar uchun umumiy o’rtacha arifmetik qiymatni toping.
Quyidagi ma’lumotlar uchun medianani toping: 54, 59, 64, 67, 70, 72, 73, 75, 78, 83, 90.
Quyidagi ma’lumotlar uchun medianani toping: 7, 8, 9, 9, 10, 11.
Quyidagi ma’lumotlar uchun medianani toping: 6, 9, 11, 8, 7, 10, 11, 11, 9, 8.
Quyidagi jadvaldagi ma’lumotlar uchun medianani hisoblang.
Sinflar intervali
|
Sinf markazi
|
Chastota
|
fx
|
199-195
190-194
185-189
180-184
175-179
170-175
165-169
160-164
155-159
150-154
145-149
140-144
|
197
192
187
182
177
172
167
162
157
152
147
142
|
1
2
4
5
8
10
6
4
4
2
3
1
|
197
384
748
910
1416
1720
1002
648
628
304
441
142
|
|
|
N=50
|
8540
|
Quyidagi ko’rsatkichlar uchun standart chetlashishni toping. 52, 50, 56, 68, 65, 62, 57, 70.
formulasidan foydalaning.
Quyidagi formuladan foydalanib, 52, 50, 56, 68, 65, 62, 57, 70 ko’rsatkichi uchun standart chetlashishni toping.
Quyidagi ma’lumotlar uchun o’rtacha chetlashishni toping
Ma’lumotlar
|
Chastota
|
135-139,99
130-134,99
125-129,99
120-124,99
115-119,99
110-114,99
105-109,99
|
2
5
6
15
10
8
4
|
|
N=50
|
|
|
18. Shu ma’lumotlar uchun standart chetlashishni toping.
Ma’lumotlar
|
Chastota
|
135-139,99
130-134,99
125-129,99
120-124,99
115-119,99
110-114,99
105-109,99
|
2
5
6
15
10
8
4
|
|
N=50
|
formulasidan foydalanib, korrelyasiya koeffisiyentini quyidagi ko’rsatkichlar uchun hisoblang.
X
|
Y
|
22
8
19
32
13
24
22
35
18
13
|
11
5
6
8
2
5
4
1
7
10
|
|
N=50
|
Yuqoridagi ma’lumotlar uchun quyidagi formula bo’yicha korrelyasiya koeffisiyentini toping.
Quyidagi ko’rsatkichlar uchun korrelyasiya koeffisiyentini toping.
X
|
Y
|
24
37
22
26
34
28
31
27
|
81
67
62
71
73
84
79
60
|
Quyidagi ko’rsatkichlar uchun korrelyasiya koeffisiyentini toping.
X
|
Y
|
17
13
20
14
13
16
11
|
80
71
60
60
60
76
93
|
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