|
ni 10
10 13 15
19 11 10
Nisbiy chastotali taqsimoti yozilsin.
Berilgan tanlanma taqsimotga ko‗ra еmpirik funksiya tuzing:
xi 12 16 18
ni 21 40 39
Tanlanmaning quyida berilgan taqsimoti bo‗yicha nisbiy chasto- talar poligonini yasang:
xi 5 ,2
wi 0 ,18
6 ,8
0 ,3
7 ,4
0 ,2
9
0 ,32
Tanlanmaning quyida berilgan taqsimoti bo‗yicha chastotalar gistogrammasini yasang:
Interval nomeri
|
Qismiy interval
|
Intervaldagi va- riantalar chastota- lari yig‗indisi
|
Chastota zichligi
|
i
|
xi 1 xi
|
ni
|
ni h
|
1
2
3
4
5
|
7-12
12-17
17-22
22-27
27-32
|
4
16
24
36
10
|
0,8
3,2
4,8
7,2
2
|
6
7
|
32-37
37-42
|
6
4
|
1,2
0,8
|
Bosh to‗plamdan hajmi n=100 ga teng tanlanma olingan va taq- simoti yozilgan:
varianta 𝑥 𝑖: chastota 𝑛 𝑖:
14 17 20 24
15 10 12 13
Bosh to‗plamning o‗rta qiymati uchun siljimagan baho topilsin.
0,05 . H0 gipotezani tekshiring. Еmpirik chastotalar:
ni :
8, 16 ,
38,
78,
102,
84,
18, 10
Nazariy chastotalar:
ni :
10,
18,
42,
94,
96 ,
40,
16 , 8
H0 : bosh to‗plam normal taqsimlangan.
Bosh to‗plam normal taqsimlangan deb faraz qilib, n=200 hajmli tanlanmaning, bir xil uzunlikdagi intervallar ketma-ketligi va ularga mos chastotalar ko‗rinishida berilgan еmpirik taqsimoti bo‗yicha na- zariy chastotalarini toping.
Interval nomeri
|
Interval uchlari
|
Chastotalar
|
i
|
xi
|
xi 1
|
hi
|
1
|
6
|
9
|
11
|
2
|
9
|
12
|
25
|
3
|
12
|
15
|
18
|
4
|
15
|
18
|
30
|
5
|
18
|
21
|
42
|
6
|
21
|
24
|
28
|
7
|
24
|
27
|
16
|
8
|
27
|
30
|
18
|
9
|
30
|
33
|
12
|
variant 1.Tanlanma taqsimot berilgan:
xi 5 8 10 13
ni 11 18 12 9
Nisbiy chastotali taqsimoti yozilsin.
Berilgan tanlanma taqsimotga ko‗ra еmpirik funksiya tuzing:
xi 3 1 5
ni 24 12 24
Tanlanmaning quyida berilgan taqsimoti bo‗yicha nisbiy chasto- talar poligonini yasang:
xi 8
wi 0 ,19
10
0 ,21
14
0 ,24
18
0 ,36
Tanlanmaning quyida berilgan taqsimoti bo‗yicha chastotalar gistogrammasini yasang:
Interval nomeri
|
Qismiy interval
|
Intervaldagi variantalar chastotalari yig‗indisi
|
Chastota zichligi
|
i
|
xi 1 xi
|
ni
|
ni h
|
1
2
3
4
5
6
7
|
5-8
8-11
11-14
14-17
17-20
20-23
23-26
|
6
12
18
17
18
13
6
|
2
4
6
9
6
4 1
3
2
|
Bosh to‗plamdan hajmi n=100 ga teng tanlanma olingan va taq- simoti yozilgan:
varianta 𝑥 𝑖:
chastota 𝑛𝑖:
7 12 16 22
12 13 14 11
Bosh to‗plamning o‗rta qiymati uchun siljimagan baho topilsin.
0,05 . H0 gipotezani tekshiring. Еmpirik chastotalar:
ni :
7 , 14,
42,
76,
105,
50,
18, 10
Nazariy chastotalar:
ni :
9, 18,
38,
89,
92,
40,
16 , 8
H0 : bosh to‗plam normal taqsimlangan.
Bosh to‗plam normal taqsimlangan deb faraz qilib, n=200 hajmli tanlanmaning, bir xil uzunlikdagi intervallar ketma-ketligi va ularga mos chastotalar ko‗rinishida berilgan еmpirik taqsimoti bo‗yicha na- zariy chastotalarini toping.
Interval nomeri
|
Interval uchlari
|
Chastotalar
|
|
i
|
xi
|
xi 1
|
hi
|
|
1
2
3
4
5
6
7
8
9
|
4
8
12
16
20
24
28
32
36
|
8
12
16
20
24
28
32
36
40
|
6
18
29
26
41
36
18
21
5
|
variant 1.Tanlanma taqsimot berilgan:
xi 4
ni 13
7 9 12
11 12 14
Nisbiy chastotali taqsimoti yozilsin.
Berilgan tanlanma taqsimotga ko‗ra еmpirik funksiya yo‗zing:
xi 6
2 10
ni 18 72 90
Tanlanmaning quyida berilgan taqsimoti bo‗yicha nisbiy chasto- talar poligonini yasang:
xi 4
wi 0 ,26
7
0 ,31
9
0 ,24
11
0 ,19
Tanlanmaning quyida berilgan taqsimoti bo‗yicha chastotalar gistogrammasini yasang:
Interval nomeri
|
Qismiy interval
|
Intervaldagi variantalar chastotalari yig‗indisi
|
Chastota zichligi
|
i
|
xi 1 xi
|
ni
|
ni h
|
1
2
3
4
5
6
7
|
1-6
6-11
11-16
16-21
21-26
26-31
31-36
|
4
8
15
35
25
7
6
|
0,8
1,6
3
7
5
1,4
1,2
|
Bosh to‗plamdan hajmi n=100 ga teng tanlanma olingan va taq- simoti yozilgan:
varianta x i: chastota n i:
11 14 17 18
10 14 12 16
Bosh to‗plamning o‗rta qiymati uchun siljimagan baho topilsin.
0,05 . H0 gipotezani tekshiring. Еmpirik chastotalar:
ni :
6 , 14,
40,
78,
106 ,
30,
15, 9
Nazariy chastotalar:
ni :
6 , 15,
46 ,
94,
94,
44,
14, 6
H0 : bosh to‗plam normal taqsimlangan.
Bosh to‗plam normal taqsimlangan deb faraz qilib, n=200 hajmli tanlanmaning, bir xil uzunlikdagi intervallar ketma-ketligi va ularga mos chastotalar ko‗rinishida berilgan еmpirik taqsimoti bo‗yicha na- zariy chastotalarini toping.
Interval nomeri
|
Interval uchlari
|
Chastotalar
|
i
|
xi
|
xi 1
|
hi
|
1
2
3
|
6
8
10
|
8
10
12
|
7
19
30
|
4
5
6
7
8
9
|
12
14
16
18
20
22
|
14
16
18
20
22
24
|
28
40
36
14
18
8
|
variant 1.Tanlanma taqsimot berilgan:
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