Математика Лабораторный практикум часть 2
.pdfПостроим кумуляту. На координатной плоскости построим точки, абсциссами которых являются варианты, а ординатами – их накопленные частоты, и соединим эти точки отрезками прямых: a1:=plots[pointplot]([[37,0],[38,X4[1]],[39,X4[2]],[40,X4[3]],[41,X4[4]], [42,X4[5]],[43,X4[6]],[44,X4[7]],[45,X4[8]]], color=black): b1:=plot([[37,0],[38,X4[1]],[39,X4[2]],[40,X4[3]],[41,X4[4]],[42,X4[5]],[ 43,X4[6]], [44,X4[7]],[45,X4[8]]],color=green):
plots[display]([a1,b1]);
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Запишем эмпирическую функцию распределения.
> F:=piecewise(x<=37,0,x>37 and x<=38,X5[1],x>38 and x<=39,X5[2],x>39 and x<=40,X5[3],x>40 and x<=41,X5[4],x>41 and x<=42,X5[5],x>42 and x<=43,X5[6],x>43 and x<=44,X5[7],x>44,X5[8]);
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42 x and |
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Теперь построим её график.
> plot(F,x=37..45,color=blue);
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Найдем выборочную среднюю и её значение в виде числа с плавающей точкой:
> M:=mean(X);evalf(M);
M:=613/15
40.86666667
Определим выборочную моду:
> mode(X);
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Определим выборочную медиану:
> median(X);
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Найдём выборочную дисперсию:
>S:=variance(X);evalf(S);
S:=586/225
2.604444444
Найдём несмещённую выборочную дисперсию:
> S1:=n/(n-1)*S; evalf(S1);
S1:=293/110
2.663636364
Вычислим среднеквадратическое отклонение (корень квадратный из дисперсии):
> sigma:=standarddeviation(X);evalf(sigma);
1.613829125
Лабораторная работа 5 Обработка результатов экспериментов, определение точечных
оценок числовых характеристик и параметров распределения. Проверка гипотезы о законе распределения
генеральной совокупности по критерию согласия 2
Цель работы: выработать практические навыки элементарной статистической обработки результатов экспериментов. Научиться пользоваться критерием согласия Пирсона 2для проверки гипотезы о виде распределения генеральной совокупности.
Задание. Для изучения некоторой случайной величины из генеральной совокупности была извлечена выборка объёма n = 80 (см. данные своего варианта).
53
1.Определить число отрезков разбиения, построить интервальный статистический ряд. Построить гистограмму относительных частот и график эмпирической функции распределения.
2.Выдвинуть гипотезу о виде распределения. Найти состоятельные несмещённые оценки математического ожидания и дисперсии, оценки среднеквадратического отклонения, оценки параметров распределения.
3.Проверить выдвинутую гипотезу по критерию Пирсона 2 на уровне значимости α =0,01.
4.На одном рисунке начертить гистограмму относительных частот и график плотности гипотетического распределения.
5.Построить график функции гипотетического распределения.
Варианты заданий
Вариант 1 |
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59.49 |
44.71 |
51.50 |
37.23 |
40.32 |
49.31 |
27.52 |
45.73 |
40.97 |
49.26 |
62.47 |
44.35 |
50.89 |
55.05 |
44.90 |
67.64 |
51.06 |
44.25 |
45.68 |
56.50 |
51.64 |
51.13 |
56.53 |
34.69 |
59.04 |
48.13 |
36.27 |
42.86 |
45.09 |
47.30 |
36.44 |
53.07 |
44.85 |
45.05 |
49.97 |
62.43 |
34.29 |
37.52 |
34.40 |
41.45 |
48.60 |
66.47 |
38.80 |
49.02 |
58.96 |
52.63 |
49.23 |
54.76 |
64.32 |
39.98 |
45.32 |
45.54 |
53.35 |
44.08 |
41.45 |
63.07 |
53.35 |
36.52 |
52.49 |
54.88 |
46.71 |
41.44 |
46.70 |
46.53 |
48.91 |
45.91 |
48.24 |
60.20 |
49.00 |
60.78 |
38.50 |
61.58 |
54.53 |
60.94 |
41.62 |
33.84 |
44.05 |
33.88 |
64.14 |
37.44 |
Вариант 2 |
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20.58 |
20.75 |
17.88 |
20.66 |
17.62 |
16.56 |
16.82 |
19.75 |
17.13 |
20.62 |
16.65 |
17.22 |
20.49 |
17.08 |
21.18 |
22.42 |
20.54 |
17.30 |
21.02 |
17.34 |
18.58 |
19.10 |
21.89 |
19.41 |
18.03 |
22.21 |
20.35 |
17.42 |
21.63 |
20.58 |
22.27 |
21.74 |
21.93 |
19.79 |
17.00 |
16.90 |
20.23 |
17.84 |
18.14 |
18.96 |
20.45 |
21.82 |
17.90 |
20.13 |
16.92 |
18.43 |
20.17 |
20.68 |
21.23 |
19.90 |
22.41 |
21.36 |
20.40 |
17.84 |
16.85 |
21.81 |
17.75 |
21.68 |
17.30 |
21.88 |
21.45 |
21.94 |
21.61 |
19.05 |
22.18 |
18.60 |
21.72 |
16.65 |
17.66 |
19.79 |
19.85 |
18.48 |
18.04 |
20.56 |
18.45 |
20.92 |
19.62 |
21.51 |
18.73 |
18.44 |
Вариант 3 |
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0.75 |
8.16 |
1.36 |
2.23 |
0.79 |
1.92 |
1.48 |
0.47 |
3.97 |
0.15 |
0.99 |
0.41 |
0.32 |
5.74 |
0.80 |
0.31 |
2.43 |
2.92 |
4.20 |
1.16 |
1.61 |
1.09 |
4.82 |
2.62 |
0.40 |
0.30 |
6.35 |
4.05 |
2.16 |
0.47 |
0.10 |
2.94 |
0.52 |
2.43 |
6.68 |
0.93 |
0.29 |
0.37 |
5.67 |
0.62 |
54
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Окончание варианта 3 |
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1.42 |
2.93 |
0.98 |
1.51 |
0.15 |
0.74 |
3.86 |
5.79 |
1.24 |
0.44 |
0.86 |
4.88 |
1.38 |
3.37 |
1.54 |
13.12 |
0.13 |
0.85 |
2.00 |
2.29 |
0.56 |
0.87 |
0.15 |
0.75 |
2.52 |
3.36 |
0.96 |
3.06 |
2.37 |
6.85 |
1.61 |
4.60 |
0.49 |
1.07 |
3.68 |
0.19 |
2.24 |
2.26 |
4.09 |
4.52 |
Вариант 4 |
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29.59 |
41.56 |
15.58 |
20.88 |
35.92 |
33.87 |
26.35 |
23.78 |
27.54 |
34.38 |
27.37 |
28.57 |
28.40 |
42.76 |
34.04 |
30.45 |
29.42 |
32.16 |
29.76 |
21.22 |
36.26 |
46.18 |
27.71 |
37.80 |
28.06 |
33.01 |
42.07 |
23.27 |
31.30 |
34.72 |
23.27 |
35.75 |
26.52 |
32.33 |
22.59 |
19.85 |
23.27 |
40.53 |
48.40 |
35.06 |
19.85 |
34.21 |
37.97 |
33.01 |
25.83 |
32.67 |
38.48 |
20.88 |
42.24 |
39.85 |
29.76 |
40.19 |
33.53 |
46.52 |
33.53 |
51.65 |
33.70 |
26.69 |
37.80 |
48.91 |
22.07 |
34.21 |
39.51 |
48.74 |
21.90 |
49.76 |
17.29 |
16.60 |
27.03 |
27.20 |
47.20 |
38.31 |
18.65 |
18.31 |
45.66 |
35.75 |
31.82 |
23.10 |
19.51 |
28.06 |
Вариант 5 |
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19.10 |
27.96 |
8.93 |
44.36 |
25.63 |
19.95 |
5.35 |
6.82 |
9.85 |
20.91 |
21.24 |
45.21 |
23.83 |
36.70 |
35.18 |
38.26 |
39.93 |
23.85 |
23.41 |
47.41 |
14.29 |
7.20 |
45.97 |
12.51 |
34.97 |
35.19 |
5.99 |
15.12 |
27.35 |
40.19 |
10.66 |
14.59 |
8.76 |
5.71 |
36.33 |
40.26 |
35.99 |
25.36 |
42.86 |
37.96 |
14.65 |
34.17 |
24.82 |
41.56 |
5.99 |
20.49 |
48.01 |
9.70 |
42.08 |
41.85 |
28.64 |
11.15 |
8.90 |
34.71 |
12.57 |
16.38 |
38.83 |
36.32 |
30.71 |
29.35 |
29.48 |
35.01 |
10.96 |
40.59 |
47.76 |
9.78 |
9.90 |
42.13 |
11.81 |
48.90 |
10.96 |
12.81 |
20.37 |
42.65 |
31.21 |
26.20 |
16.84 |
36.41 |
17.73 |
27.81 |
Вариант 6 |
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12.37 |
16.64 |
6.85 |
44.26 |
4.37 |
5.64 |
8.55 |
5.88 |
36.01 |
4.28 |
4.35 |
0.54 |
8.89 |
19.00 |
4.30 |
8.54 |
8.39 |
4.83 |
3.18 |
0.51 |
14.96 |
1.38 |
9.94 |
12.78 |
3.18 |
31.18 |
39.60 |
18.80 |
17.80 |
21.13 |
8.18 |
15.64 |
7.00 |
9.19 |
3.94 |
1.82 |
33.20 |
1.15 |
3.55 |
17.79 |
5.80 |
6.57 |
0.85 |
14.22 |
5.46 |
13.89 |
11.03 |
18.11 |
12.19 |
27.9 |
44.60 |
1.19 |
5.57 |
20.87 |
23.52 |
4.97 |
1.95 |
4.98 |
5.54 |
2.56 |
18.80 |
4.81 |
30.51 |
11.35 |
4.46 |
7.19 |
1.06 |
14.86 |
10.41 |
4.72 |
1.07 |
9.33 |
7.33 |
10.91 |
23.71 |
2.37 |
2.07 |
40.38 |
19.48 |
16.56 |
Вариант 7 |
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43.33 |
44.87 |
48.13 |
39.96 |
43.71 |
41.02 |
47.27 |
33.42 |
49.19 |
40.83 |
49.58 |
41.79 |
39.29 |
40.54 |
46.88 |
41.21 |
41.40 |
41.60 |
43.04 |
41.12 |
38.52 |
53.23 |
43.90 |
47.65 |
42.94 |
38.81 |
49.38 |
43.04 |
36.69 |
46.69 |
48.90 |
46.69 |
38.13 |
49.96 |
48.04 |
38.71 |
48.23 |
44.10 |
43.23 |
45.63 |
55
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Окончание варианта 7 |
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39.58 |
49.87 |
46.40 |
46.69 |
41.60 |
48.33 |
36.98 |
51.79 |
47.46 |
38.23 |
40.25 |
42.94 |
37.65 |
39.48 |
50.44 |
39.67 |
39.96 |
43.81 |
41.02 |
39.58 |
49.87 |
39.87 |
40.15 |
39.10 |
29.96 |
47.27 |
46.12 |
37.08 |
40.35 |
43.52 |
39.48 |
35.83 |
48.90 |
43.52 |
43.13 |
41.21 |
39.48 |
43.33 |
48.42 |
46.50 |
Вариант 8 |
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8.35 |
8.07 |
9.33 |
9.93 |
8.88 |
8.26 |
8.81 |
8.59 |
9.18 |
9.63 |
8.12 |
9.77 |
8.15 |
8.05 |
8.54 |
9.90 |
8.59 |
8.90 |
8.77 |
8.71 |
9.31 |
9.34 |
8.60 |
9.33 |
8.64 |
8.40 |
9.76 |
9.42 |
9.27 |
8.45 |
8.97 |
9.04 |
9.68 |
8.71 |
9.65 |
9.19 |
8.76 |
8.18 |
9.96 |
9.41 |
9.15 |
8.60 |
8.41 |
9.40 |
8.79 |
9.80 |
9.40 |
9.26 |
9.96 |
8.93 |
8.97 |
9.38 |
8.02 |
8.32 |
8.31 |
8.57 |
8.05 |
9.33 |
9.51 |
8.96 |
8.40 |
9.80 |
9.60 |
8.93 |
8.78 |
8.65 |
8.33 |
9.40 |
9.48 |
9.01 |
9.71 |
8.95 |
8.29 |
8.94 |
8.07 |
8.82 |
9.77 |
9.45 |
9.47 |
8.82 |
Вариант 9 |
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2.94 |
8.82 |
4.54 |
4.45 |
0.24 |
9.59 |
3.12 |
5.73 |
0.82 |
18.07 |
0.94 |
1.04 |
3.68 |
0.28 |
0.99 |
2.40 |
1.91 |
5.41 |
3.62 |
2.26 |
2.79 |
18.16 |
8.91 |
8.83 |
10.05 |
0.36 |
5.78 |
12.87 |
5.19 |
2.72 |
1.58 |
0.59 |
2.63 |
8.86 |
1.29 |
0.28 |
16.93 |
5.37 |
27.91 |
5.26 |
0.59 |
3.93 |
1.96 |
0.74 |
0.10 |
1.41 |
1.39 |
2.86 |
2.54 |
17.97 |
0.60 |
4.90 |
7.89 |
4.08 |
3.28 |
0.09 |
3.51 |
2.92 |
1.90 |
2.63 |
2.25 |
23.70 |
6.46 |
6.57 |
1.43 |
3.82 |
3.01 |
8.88 |
6.71 |
14.32 |
1.14 |
1.69 |
1.57 |
1.65 |
1.71 |
0.37 |
0.23 |
7.80 |
3.76 |
9.17 |
Вариант 10 |
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50.84 |
53.77 |
52.60 |
49.52 |
44.83 |
44.17 |
50.33 |
55.16 |
49.52 |
43.22 |
55.38 |
50.03 |
50.11 |
53.11 |
53.70 |
51.06 |
57.07 |
56.99 |
44.91 |
49.60 |
54.36 |
45.35 |
55.46 |
47.76 |
47.54 |
48.35 |
52.75 |
52.45 |
49.82 |
48.57 |
49.60 |
50.77 |
51.35 |
50.25 |
50.77 |
46.59 |
42.42 |
54.43 |
49.30 |
51.94 |
51.13 |
48.94 |
45.86 |
48.13 |
49.08 |
46.88 |
46.23 |
46.52 |
53.84 |
55.02 |
54.36 |
51.94 |
49.96 |
52.31 |
52.09 |
46.74 |
47.98 |
45.49 |
50.55 |
46.37 |
49.08 |
50.77 |
53.11 |
51.57 |
52.09 |
52.89 |
47.18 |
52.16 |
45.49 |
50.03 |
44.10 |
52.60 |
59.34 |
43.51 |
59.05 |
54.36 |
54.21 |
46.96 |
54.21 |
57.21 |
Вариант 11 |
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39.02 |
30.67 |
41.19 |
19.48 |
42.66 |
16.06 |
22.30 |
39.78 |
33.10 |
44.59 |
24.39 |
36.46 |
44.16 |
16.30 |
21.41 |
20.77 |
12.00 |
19.24 |
29.93 |
24.67 |
39.89 |
37.85 |
26.06 |
36.88 |
38.01 |
20.48 |
31.73 |
20.61 |
40.34 |
14.32 |
32.84 |
38.45 |
21.26 |
17.58 |
35.91 |
21.67 |
32.28 |
35.48 |
30.35 |
29.68 |
12.89 |
42.58 |
20.92 |
25.67 |
18.62 |
13.24 |
33.78 |
36.50 |
41.24 |
29.77 |
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Продолжение варианта 11 |
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16.51 |
13.49 |
21.86 |
31.96 |
20.55 |
17.46 |
44.61 |
25.32 |
26.44 |
26.60 |
26.17 |
15.03 |
12.07 |
39.65 |
32.49 |
18.43 |
43.26 |
20.62 |
12.15 |
17.57 |
41.16 |
14.23 |
31.45 |
18.51 |
36.25 |
27.23 |
23.46 |
29.55 |
39.48 |
15.26 |
Вариант 12 |
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3.36 |
5.72 |
0.61 |
17.42 |
4.26 |
2.37 |
6.52 |
2.21 |
4.13 |
5.42 |
5.08 |
0.64 |
3.62 |
0.04 |
7.79 |
1.99 |
11.24 |
9.92 |
4.01 |
12.68 |
3.02 |
12.58 |
2.43 |
10.88 |
3.76 |
0.39 |
3.32 |
0.79 |
0.86 |
7.47 |
7.94 |
3.80 |
14.81 |
1.42 |
9.78 |
0.16 |
1.78 |
1.67 |
2.28 |
4.48 |
2.39 |
1.76 |
4.85 |
0.35 |
0.63 |
0.01 |
8.17 |
6.92 |
1.13 |
0.47 |
3.71 |
15.15 |
5.52 |
3.80 |
1.33 |
2.77 |
2.64 |
3.22 |
0.45 |
1.64 |
5.57 |
8.31 |
10.88 |
1.96 |
3.04 |
3.59 |
0.42 |
4.02 |
2.72 |
7.36 |
0.07 |
12.95 |
3.41 |
5.03 |
11.55 |
0.56 |
5.55 |
13.96 |
0.96 |
3.86 |
Вариант 13 |
|
|
|
|
|
|
|
|
|
53.17 |
50.35 |
48.56 |
54.28 |
51.89 |
50.86 |
53.85 |
50.61 |
47.19 |
54.71 |
53.85 |
54.54 |
54.20 |
62.57 |
53.60 |
52.06 |
51.12 |
55.99 |
56.33 |
50.95 |
54.45 |
63.00 |
59.92 |
52.15 |
60.78 |
49.41 |
53.00 |
52.49 |
49.41 |
55.05 |
60.18 |
56.50 |
43.94 |
47.87 |
52.66 |
54.20 |
51.03 |
53.43 |
44.88 |
59.32 |
54.54 |
48.47 |
49.24 |
46.08 |
58.13 |
51.89 |
43.17 |
51.55 |
64.37 |
56.08 |
50.18 |
56.93 |
55.56 |
57.79 |
54.88 |
51.21 |
49.92 |
55.91 |
51.97 |
49.24 |
52.40 |
43.26 |
42.74 |
44.79 |
62.06 |
57.44 |
61.12 |
55.48 |
46.68 |
54.62 |
53.26 |
49.84 |
45.05 |
51.03 |
53.34 |
49.67 |
49.07 |
52.83 |
58.13 |
50.86 |
Вариант 14 |
|
|
|
|
|
|
|
|
|
31.13 |
21.77 |
23.16 |
35.45 |
55.91 |
19.26 |
35.02 |
61.93 |
37.42 |
41.60 |
37.63 |
42.16 |
53.98 |
49.35 |
37.83 |
32.16 |
48.60 |
24.92 |
53.01 |
52.32 |
14.86 |
52.40 |
34.49 |
29.86 |
49.83 |
45.84 |
20.62 |
37.34 |
49.11 |
38.12 |
27.60 |
41.49 |
36.03 |
42.23 |
53.97 |
16.34 |
54.85 |
51.86 |
42.84 |
30.11 |
60.02 |
59.78 |
62.97 |
20.12 |
57.41 |
21.20 |
62.28 |
23.63 |
15.95 |
48.07 |
39.26 |
63.20 |
39.80 |
42.31 |
35.34 |
63.88 |
52.99 |
57.21 |
17.50 |
21.05 |
47.96 |
29.16 |
39.17 |
25.05 |
14.49 |
24.92 |
48.57 |
32.40 |
37.59 |
18.43 |
55.15 |
52.84 |
27.79 |
14.07 |
27.26 |
28.12 |
56.51 |
37.41 |
23.32 |
24.77 |
Вариант 15 |
|
|
|
|
|
|
|
|
|
3.01 |
1.11 |
6.17 |
4.04 |
5.67 |
0.31 |
10.02 |
3.76 |
0.93 |
6.64 |
1.40 |
2.92 |
6.28 |
0.13 |
4.82 |
6.44 |
1.99 |
2.42 |
12.59 |
3.00 |
5.03 |
0.20 |
0.21 |
2.14 |
2.76 |
2.21 |
6.87 |
12.97 |
1.30 |
5.21 |
6.89 |
2.13 |
23.33 |
0.55 |
3.56 |
5.06 |
4.17 |
2.31 |
9.41 |
4.21 |
13.62 |
4.41 |
4.53 |
5.52 |
0.29 |
8.05 |
2.07 |
5.11 |
11.49 |
2.22 |
1.52 |
0.96 |
0.07 |
0.00 |
5.61 |
1.44 |
3.41 |
8.51 |
2.20 |
1.41 |
2.05 |
7.87 |
9.15 |
33.45 |
26.29 |
24.93 |
14.91 |
14.90 |
1.76 |
0.09 |
1.03 |
6.20 |
0.26 |
1.58 |
0.65 |
7.80 |
9.49 |
3.93 |
0.05 |
0.92 |
57
Вариант 16 |
|
|
|
|
|
|
|
|
|
42.92 |
46.72 |
44.64 |
45.19 |
41.29 |
48.81 |
39.12 |
42.20 |
49.26 |
51.43 |
57.22 |
48.99 |
39.30 |
40.75 |
44.10 |
49.44 |
48.35 |
47.09 |
38.22 |
49.17 |
42.29 |
47.18 |
49.17 |
51.52 |
44.01 |
49.98 |
37.58 |
48.53 |
43.38 |
49.80 |
40.48 |
42.02 |
55.23 |
44.91 |
46.72 |
42.20 |
47.63 |
45.46 |
40.66 |
46.27 |
44.19 |
44.64 |
48.53 |
48.71 |
49.44 |
49.71 |
48.53 |
45.73 |
43.56 |
47.81 |
39.67 |
42.83 |
49.35 |
53.06 |
52.15 |
51.97 |
41.20 |
43.29 |
38.85 |
46.27 |
45.00 |
44.19 |
46.36 |
49.35 |
55.14 |
48.53 |
53.51 |
47.63 |
48.99 |
40.03 |
39.76 |
43.65 |
52.33 |
42.83 |
46.00 |
40.75 |
44.64 |
44.01 |
47.09 |
46.81 |
Вариант 17 |
|
|
|
|
|
|
|
|
|
18.94 |
22.90 |
21.80 |
20.95 |
21.27 |
20.89 |
18.84 |
19.43 |
20.83 |
20.61 |
22.02 |
22.64 |
20.38 |
18.74 |
19.70 |
18.55 |
19.26 |
22.42 |
22.86 |
17.99 |
20.07 |
22.81 |
19.57 |
17.73 |
18.74 |
22.92 |
21.21 |
22.42 |
18.34 |
20.43 |
19.23 |
20.39 |
18.43 |
19.80 |
21.80 |
17.80 |
17.92 |
22.89 |
18.07 |
21.46 |
18.89 |
22.74 |
20.18 |
17.28 |
18.70 |
21.35 |
17.41 |
18.11 |
21.47 |
21.87 |
19.03 |
18.85 |
18.01 |
19.02 |
22.44 |
19.35 |
17.89 |
18.68 |
18.53 |
21.14 |
22.40 |
22.15 |
18.67 |
17.13 |
20.99 |
19.73 |
19.05 |
19.30 |
17.27 |
18.90 |
17.66 |
21.55 |
17.57 |
17.17 |
17.48 |
20.73 |
19.58 |
17.77 |
20.31 |
18.90 |
Вариант 18 |
|
|
|
|
|
|
|
|
|
5.64 |
6.27 |
0.36 |
0.11 |
0.07 |
1.67 |
7.66 |
10.03 |
3.82 |
1.63 |
4.83 |
8.28 |
17.19 |
5.43 |
0.38 |
6.60 |
0.80 |
0.72 |
2.12 |
0.70 |
0.28 |
0.23 |
7.16 |
5.13 |
3.49 |
0.53 |
4.27 |
4.27 |
0.84 |
7.02 |
0.40 |
12.36 |
3.35 |
0.89 |
0.58 |
8.08 |
0.53 |
1.28 |
6.88 |
4.15 |
0.16 |
9.92 |
0.16 |
5.57 |
4.53 |
0.15 |
1.56 |
0.02 |
0.16 |
0.10 |
0.70 |
0.80 |
2.47 |
4.61 |
2.45 |
3.60 |
2.09 |
0.57 |
1.97 |
0.23 |
2.61 |
1.00 |
4.09 |
4.37 |
0.76 |
1.73 |
3.58 |
4.77 |
1.80 |
1.16 |
3.36 |
1.72 |
1.35 |
4.99 |
0.24 |
1.35 |
0.26 |
1.42 |
0.01 |
4.02 |
Вариант 19 |
|
|
|
|
|
|
|
|
|
42.38 |
54.31 |
59.12 |
43.54 |
41.04 |
43.73 |
51.42 |
40.65 |
59.31 |
56.23 |
56.62 |
50.65 |
36.23 |
51.62 |
54.12 |
33.54 |
42.19 |
39.50 |
36.62 |
43.35 |
60.27 |
62.38 |
63.73 |
44.12 |
47.19 |
51.62 |
49.12 |
33.73 |
48.54 |
55.27 |
59.88 |
50.46 |
50.08 |
31.04 |
37.00 |
64.31 |
55.85 |
61.42 |
62.38 |
52.00 |
41.23 |
64.12 |
40.27 |
46.62 |
49.88 |
52.77 |
49.31 |
39.12 |
54.50 |
63.73 |
59.88 |
50.46 |
46.62 |
49.69 |
43.73 |
34.69 |
49.50 |
49.50 |
71.04 |
61.62 |
55.85 |
59.31 |
40.65 |
35.08 |
46.81 |
68.92 |
36.23 |
65.27 |
41.62 |
48.54 |
42.38 |
40.08 |
40.65 |
44.50 |
51.62 |
37.58 |
32.96 |
57.19 |
43.35 |
55.65 |
58
Вариант 20 |
|
|
|
|
|
|
|
|
|
74.76 |
67.59 |
34.98 |
28.64 |
72.73 |
52.53 |
55.70 |
31.43 |
50.44 |
37.40 |
40.52 |
58.53 |
44.70 |
38.51 |
53.21 |
49.43 |
29.03 |
29.89 |
47.50 |
71.11 |
20.76 |
31.87 |
54.71 |
58.33 |
33.73 |
32.45 |
68.85 |
76.09 |
57.78 |
61.84 |
21.65 |
51.77 |
25.72 |
50.99 |
46.68 |
71.28 |
36.91 |
62.92 |
20.43 |
34.68 |
22.80 |
56.38 |
65.31 |
77.37 |
35.59 |
70.70 |
73.41 |
77.88 |
39.03 |
54.03 |
56.09 |
54.40 |
68.43 |
21.89 |
72.87 |
36.57 |
39.98 |
56.84 |
35.27 |
61.65 |
66.70 |
34.65 |
65.85 |
31.59 |
29.04 |
53.53 |
31.06 |
32.23 |
70.33 |
35.02 |
51.16 |
49.33 |
36.41 |
66.17 |
74.09 |
55.24 |
29.52 |
57.86 |
39.72 |
23.15 |
Вариант 21 |
|
|
|
|
|
|
|
|
|
53.27 |
34.70 |
37.77 |
5.10 |
33.77 |
5.64 |
6.05 |
11.26 |
11.48 |
47.20 |
58.03 |
6.00 |
63.98 |
2.39 |
15.29 |
14.38 |
6.95 |
16.72 |
8.82 |
5.67 |
16.26 |
13.09 |
56.84 |
15.35 |
5.78 |
28.74 |
48.66 |
5.23 |
7.49 |
0.87 |
10.47 |
3.36 |
13.10 |
12.47 |
3.95 |
0.23 |
3.29 |
35.14 |
14.15 |
10.99 |
6.28 |
1.08 |
37.02 |
36.74 |
36.36 |
40.33 |
14.00 |
17.66 |
2.20 |
10.61 |
17.08 |
8.15 |
11.29 |
1.27 |
41.70 |
53.15 |
5.97 |
5.31 |
10.67 |
30.57 |
2.12 |
17.19 |
11.48 |
37.95 |
5.80 |
12.54 |
20.49 |
25.39 |
60.58 |
7.94 |
3.40 |
31.94 |
14.68 |
3.61 |
7.74 |
2.92 |
50.22 |
7.62 |
3.89 |
71.44 |
Вариант 22 |
|
|
|
|
|
|
|
|
|
53.70 |
43.70 |
57.43 |
46.77 |
50.51 |
51.17 |
56.77 |
58.64 |
47.43 |
54.03 |
51.72 |
49.52 |
46.45 |
41.72 |
45.90 |
40.40 |
51.06 |
55.24 |
49.96 |
46.77 |
58.75 |
50.51 |
57.65 |
47.43 |
46.12 |
49.96 |
51.06 |
56.88 |
52.16 |
51.17 |
47.21 |
51.17 |
50.62 |
48.75 |
51.28 |
50.18 |
57.43 |
54.91 |
48.86 |
50.51 |
55.57 |
49.63 |
52.82 |
55.79 |
43.37 |
63.04 |
47.21 |
55.46 |
51.17 |
59.85 |
53.59 |
41.94 |
58.53 |
68.64 |
52.71 |
52.71 |
53.92 |
66.55 |
40.51 |
52.49 |
39.74 |
55.46 |
57.10 |
54.91 |
51.94 |
41.17 |
53.48 |
34.80 |
48.86 |
49.30 |
41.39 |
54.25 |
51.83 |
50.84 |
49.41 |
51.39 |
46.77 |
50.73 |
56.23 |
47.32 |
Вариант 23 |
|
|
|
|
|
|
|
|
|
31.01 |
23.07 |
32.21 |
26.94 |
45.89 |
32.76 |
39.60 |
45.05 |
40.51 |
42.99 |
35.47 |
49.75 |
38.15 |
42.42 |
51.41 |
43.77 |
36.38 |
38.37 |
36.83 |
37.36 |
33.36 |
39.78 |
36.41 |
44.99 |
51.91 |
45.72 |
37.73 |
32.26 |
38.40 |
44.39 |
26.50 |
51.46 |
43.67 |
48.29 |
44.70 |
47.14 |
24.04 |
54.23 |
49.36 |
49.87 |
47.09 |
52.24 |
39.21 |
51.55 |
39.59 |
28.45 |
33.09 |
47.47 |
41.33 |
37.35 |
41.10 |
41.61 |
25.33 |
54.32 |
52.62 |
52.16 |
52.42 |
40.84 |
43.91 |
45.78 |
49.94 |
43.35 |
25.68 |
32.14 |
32.22 |
45.41 |
35.98 |
41.01 |
50.08 |
36.47 |
43.72 |
31.84 |
29.33 |
32.34 |
26.73 |
41.73 |
39.59 |
28.10 |
47.41 |
36.80 |
59
Вариант 24 |
|
|
|
|
|
|
|
|
|
2.17 |
1.34 |
0.68 |
3.11 |
1.55 |
6.98 |
0.25 |
3.49 |
8.66 |
4.09 |
7.82 |
15.50 |
4.92 |
6.78 |
2.56 |
2.74 |
4.82 |
3.44 |
5.30 |
0.73 |
0.33 |
12.02 |
1.17 |
9.85 |
6.69 |
4.52 |
13.17 |
0.28 |
2.01 |
1.64 |
4.68 |
0.62 |
8.80 |
3.98 |
4.87 |
1.74 |
2.96 |
0.95 |
15.33 |
0.75 |
6.53 |
18.95 |
7.01 |
12.77 |
0.04 |
1.25 |
9.39 |
6.78 |
0.62 |
2.09 |
1.35 |
9.44 |
3.96 |
1.35 |
13.10 |
0.80 |
0.25 |
7.22 |
4.47 |
10.78 |
2.19 |
0.66 |
7.44 |
2.93 |
2.18 |
2.03 |
13.35 |
8.43 |
4.83 |
8.40 |
0.07 |
3.71 |
10.00 |
8.44 |
6.15 |
0.55 |
1.25 |
2.24 |
7.30 |
0.63 |
Вариант 25 |
|
|
|
|
|
|
|
|
|
72.08 |
72.35 |
71.21 |
69.99 |
71.45 |
69.43 |
67.19 |
67.23 |
70.26 |
71.76 |
71.76 |
70.46 |
70.93 |
66.91 |
66.75 |
69.63 |
72.12 |
69.99 |
68.76 |
67.54 |
70.11 |
72.67 |
69.04 |
71.05 |
67.50 |
73.81 |
73.18 |
69.91 |
71.84 |
68.41 |
72.63 |
68.41 |
72.16 |
73.10 |
71.80 |
70.26 |
72.31 |
67.58 |
72.47 |
71.09 |
68.61 |
69.00 |
70.07 |
69.08 |
69.83 |
74.17 |
69.59 |
69.12 |
68.41 |
68.21 |
72.55 |
70.58 |
68.61 |
71.29 |
66.48 |
68.29 |
70.38 |
70.03 |
74.80 |
70.34 |
67.38 |
71.37 |
68.29 |
68.80 |
66.59 |
68.25 |
72.00 |
69.20 |
69.91 |
69.63 |
69.91 |
72.63 |
69.67 |
70.03 |
69.71 |
68.17 |
70.14 |
73.06 |
70.74 |
71.13 |
Вариант 26 |
|
|
|
|
|
|
|
|
|
27.36 |
26.08 |
26.03 |
29.88 |
26.07 |
28.93 |
27.68 |
36.61 |
30.24 |
28.39 |
33.66 |
38.91 |
28.74 |
28.70 |
36.02 |
30.18 |
34.14 |
29.26 |
31.48 |
39.24 |
36.27 |
26.54 |
27.15 |
28.18 |
28.40 |
30.64 |
35.34 |
34.40 |
38.92 |
39.97 |
38.18 |
32.22 |
32.99 |
33.37 |
36.61 |
28.82 |
39.17 |
32.28 |
31.98 |
38.27 |
34.64 |
28.73 |
36.46 |
30.23 |
35.51 |
37.52 |
28.79 |
29.33 |
38.37 |
38.39 |
28.79 |
26.30 |
32.19 |
28.85 |
33.36 |
31.49 |
26.51 |
32.30 |
32.72 |
36.31 |
37.59 |
30.74 |
29.29 |
35.58 |
35.94 |
34.57 |
36.67 |
36.86 |
29.38 |
31.78 |
35.58 |
35.05 |
35.91 |
32.02 |
38.85 |
31.36 |
28.60 |
31.04 |
33.77 |
30.71 |
Вариант 27 |
|
|
|
|
|
|
|
|
|
2.89 |
24.30 |
10.85 |
33.62 |
7.66 |
14.12 |
10.03 |
12.03 |
8.70 |
47.96 |
18.32 |
27.45 |
25.92 |
0.11 |
1.72 |
21.86 |
28.08 |
16.86 |
32.68 |
17.75 |
17.30 |
21.58 |
6.54 |
1.67 |
0.04 |
6.95 |
0.05 |
2.00 |
7.11 |
18.04 |
0.97 |
16.09 |
1.31 |
0.96 |
26.77 |
2.35 |
39.94 |
5.63 |
43.95 |
0.68 |
13.99 |
42.90 |
2.90 |
8.39 |
2.51 |
16.90 |
4.33 |
1.79 |
7.37 |
21.19 |
5.61 |
2.26 |
17.98 |
8.97 |
7.33 |
9.61 |
6.53 |
3.93 |
25.63 |
3.07 |
3.79 |
17.71 |
0.52 |
6.35 |
15.90 |
3.49 |
17.52 |
9.82 |
15.00 |
5.21 |
14.23 |
3.21 |
2.31 |
3.28 |
4.99 |
5.22 |
8.81 |
26.79 |
2.74 |
18.29 |
60