1.6Задание для расчета
В таблице дано распределение признака X (случайной величины X), полученной по n = 100 наблюдениям. Необходимо:
1) построить полигон (гистограмму) и кумуляту;
2) найти:
а) среднюю арифметическую, медиану, моду;
б) дисперсию, среднее квадратичное отклонение и коэффициент вариации.
3) проверить соответствие статистических данных нормальному закону распределения по критерию Пирсона.
Вариант 1 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
1 |
3 |
6 |
11 |
15 |
20 |
14 |
12 |
10 |
6 |
2 |
Вариант 2 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
2 |
5 |
7 |
12 |
15 |
18 |
14 |
11 |
8 |
6 |
2 |
Вариант 3 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
8 |
7 |
9 |
12 |
18 |
22 |
24 |
18 |
20 |
12 |
8 |
Вариант 4 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
5 |
7 |
9 |
15 |
12 |
11 |
12 |
10 |
9 |
7 |
3 |
Вариант 5 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
2 |
4 |
12 |
14 |
13 |
12 |
10 |
11 |
10 |
9 |
3 |
Вариант 6 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
12 |
18 |
16 |
14 |
12 |
9 |
6 |
4 |
3 |
3 |
3 |
Вариант 7 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
2 |
3 |
5 |
10 |
12 |
14 |
15 |
13 |
12 |
8 |
6 |
Вариант 8 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
0 |
2 |
2 |
4 |
8 |
16 |
20 |
18 |
12 |
10 |
8 |
Вариант 9 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
9 |
14 |
16 |
12 |
18 |
15 |
10 |
3 |
2 |
1 |
0 |
Вариант 10 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
24 |
12 |
14 |
16 |
8 |
10 |
6 |
5 |
2 |
3 |
0 |
Вариант 11 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
8 |
26 |
14 |
12 |
8 |
9 |
8 |
6 |
4 |
3 |
2 |
Вариант 12 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
14-16 |
16-18 |
18-20 |
20-22 |
22-24 |
24-26 |
ni |
4 |
6 |
14 |
10 |
8 |
14 |
18 |
20 |
4 |
2 |
0 |
Вариант 13 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
5 |
6 |
8 |
12 |
14 |
14 |
16 |
12 |
8 |
5 |
0 |
Вариант 14 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
5 |
6 |
7 |
8 |
8 |
9 |
10 |
14 |
15 |
12 |
6 |
Вариант 15 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
2 |
4 |
8 |
10 |
12 |
14 |
15 |
18 |
12 |
4 |
1 |
Вариант 16 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
4 |
6 |
10 |
12 |
14 |
20 |
15 |
8 |
6 |
4 |
1 |
Вариант 17 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
2 |
4 |
6 |
10 |
12 |
18 |
14 |
12 |
10 |
8 |
4 |
Вариант 18 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
1 |
2 |
3 |
6 |
10 |
11 |
14 |
15 |
16 |
18 |
4 |
Вариант 19 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
4 |
12 |
14 |
18 |
16 |
12 |
9 |
7 |
5 |
3 |
0 |
Вариант 20 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
0 |
4 |
4 |
7 |
12 |
15 |
18 |
16 |
14 |
8 |
2 |
Вариант 21 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
3 |
8 |
14 |
18 |
14 |
15 |
11 |
8 |
5 |
2 |
2 |
Вариант 22 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
3 |
7 |
8 |
13 |
14 |
16 |
18 |
12 |
5 |
2 |
2 |
Вариант 23 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
3 |
5 |
6 |
12 |
17 |
20 |
18 |
10 |
5 |
2 |
2 |
Вариант 24 |
|
|
|
|
|
|
|
|
|
||
i |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
xi |
9-11 |
11-13 |
13-15 |
15-17 |
17-19 |
19-21 |
21-23 |
23-25 |
25-27 |
27-29 |
29-31 |
ni |
3 |
10 |
15 |
20 |
14 |
12 |
10 |
7 |
5 |
2 |
2 |