Задание
Для приведённой таблицы наблюдений необходимо выполнить следующие действия:
1. Найти наибольшее и наименьшее наблюдения.
2. Построить таблицу сгруппированных частот.
3. Найти ширину группы.
4. Найти верхнюю границу 5-й группы.
5. Найти среднюю оценку 4-й группы.
6. Найти нижний предел 3-й группы.
7. Найти нижнюю границу 2-й группы.
8. Нарисовать гистограммы.
9. Определить модальную группу.
10. Определить медиану совокупности по сгруппированным данным, если для построения распределения частот используют:
а) 6 групп; б) 8 групп; с) 10 групп.
Таблица наблюдений для выполнения контрольной работы
№№ |
Дана выборка |
1 |
2 |
01, 31, 61, 91 |
101, 155, 138, 133, 115, 107, 122, 160, 152, 121, 142, 167, 143, 137, 148, 139, 130, 117, 150, 152, 141, 162, 146, 113, 178, 134, 135, 120, 147, 171, 128, 136, 111, 141, 137, 155, 140, 144, 124, 151, 152, 130, 156, 128, 159, 120, 144, 119, 134, 147 |
02, 32, 62, 92 |
102, 136, 169, 146, 171, 154, 108, 147, 160, 122, 145, 156, 110, 173, 117, 114, 139, 158, 129, 125, 152, 155, 149, 143, 133, 141, 138, 148, 135, 172, 119, 158, 163, 128, 141, 151, 142, 116, 149, 127, 154, 146, 137, 143, 154, 136, 141, 140, 151, 153 |
03, 33, 63, 93 |
103, 142, 139, 135, 154, 125, 138, 131, 141, 153, 162, 152, 176, 133, 157, 149, 109, 121, 147, 127, 113, 116, 140, 120, 180, 112, 158, 151, 145, 173, 123, 137, 140, 135, 147, 157, 155, 153, 115, 137, 115, 130, 146, 155, 159, 121, 139, 146, 128, 152 |
04, 34, 64, 94 |
104, 118, 172, 116, 105, 111, 163, 151, 128, 114, 112, 100, 168, 131, 133, 150, 110, 120, 136, 127, 144, 157, 161, 180, 167, 123, 119, 155, 156, 174, 111, 144, 108, 157, 121, 106, 150, 142, 115, 132, 151, 171, 145, 137, 165, 138, 117, 134, 131, 120 |
05, 35, 65, 95 |
105, 158, 141, 133, 129, 143, 122, 165, 145, 165, 135, 156, 170, 113, 108, 119, 138, 140, 121, 106, 125, 127, 128, 130, 149, 131, 118, 110, 124, 175, 132, 137, 136, 144, 155, 146, 142, 114, 139, 114, 126, 129, 140, 114, 150, 123, 146, 126, 154, 140 |
1 |
2 |
06, 36, 66, 96 |
106, 150, 174, 152, 119, 128, 147, 113, 132, 126, 110, 165, 105, 178, 172, 111, 136, 103, 125, 179, 166, 144, 171, 167, 170, 100, 102, 131, 169, 176, 128, 163, 124, 130, 129, 138, 142, 143, 120, 152, 155, 169, 135, 117, 173, 140, 151, 133, 121, 122 |
07, 37, 67, 97 |
107, 124, 162, 152, 153, 176, 123, 142, 127, 167, 164, 160, 125, 157, 154, 119, 156, 174, 133, 155, 147, 138, 112, 161, 144, 108, 166, 139, 169, 177, 116, 157, 165, 133, 147, 162, 141, 137, 165, 144, 143, 137, 126, 153, 173, 135, 138, 139, 159, 146 |
08, 38, 68, 98 |
108, 116, 134, 167, 134, 151, 147, 161, 169, 158, 112, 173, 155, 153, 149, 172, 128, 126, 127, 165, 148, 162, 168, 152, 157, 145, 133, 120, 143, 178, 112, 151, 143, 154, 164, 143, 154, 161, 127, 146, 155, 160, 151, 127, 161, 121, 142, 141, 156, 141 |
09, 39, 69, 99 |
109, 140, 165, 121, 110, 122, 116, 167, 151, 169, 152, 124, 118, 108, 135, 154, 164, 111, 118, 100, 159, 114, 132, 113, 162, 130, 120, 172, 176, 179, 125, 143, 116, 142, 160, 138, 113, 145, 138, 109, 137, 123, 146, 147, 178, 137, 131, 113, 145, 152 |
10, 40, 70, 100 |
110, 135, 151, 134, 174, 148, 128, 132, 153, 150, 155, 116, 156, 121, 166, 153, 169, 142, 178, 158, 130, 104, 143, 163, 152, 159, 165, 161, 146, 180, 123, 143, 161, 130, 152, 136, 139, 160, 156, 168, 117, 153, 156, 163, 164, 131, 135, 151, 140, 154 |
11, 41, 71 |
111, 156, 168, 170, 144, 150, 172, 148, 154, 151, 142, 134, 164, 155, 138, 167, 110, 127, 105, 135, 161, 152, 103, 121, 175, 149, 123, 163, 162, 171, 134, 169, 147, 160, 153, 138, 160, 153, 119, 120, 157, 112, 162, 143, 167, 140, 163, 158, 149, 148 |
1 |
2 |
12, 42, 72 |
112, 134, 147, 159, 128, 157, 140, 131, 160, 122, 155, 151, 119, 170, 180, 129, 113, 177, 149, 144, 152, 164, 151, 166, 169, 101, 162, 133, 150, 172, 123, 153, 143, 136, 141, 153, 145, 155, 145, 147, 158, 159, 135, 148, 161, 130, 147, 134, 144, 158 |
13, 43, 73 |
113, 158, 117, 144, 131, 149, 127, 121, 120, 133, 111, 167, 147, 140, 174, 128, 136, 108, 129, 153, 123, 167, 119, 137, 130, 104, 126, 116, 157, 173, 136, 131, 140, 124, 127, 139, 144, 151, 122, 141, 145, 128, 117, 121, 165, 115, 151, 129, 135, 116 |
14, 44, 74 |
114, 150, 149, 161, 125, 169, 147, 138, 121, 124, 170, 158, 131, 148, 129, 102, 152, 107, 155, 130, 134, 141, 111, 132, 162, 133, 116, 136, 180, 174, 132, 155, 147, 143, 123, 164, 140, 116, 130, 143, 138, 122, 148, 126, 177, 132, 156, 136, 154, 146 |
15, 45, 75 |
115, 143, 137, 109, 121, 148, 142, 162, 113, 145, 146, 131, 177, 132, 149, 138, 150, 168, 158, 152, 125, 119, 135, 128, 136, 143, 145, 160, 100, 175, 129, 123, 135, 152, 129, 139, 155, 144, 159, 155, 122, 132, 140, 153, 138, 126, 127, 132, 155, 130 |
16, 46, 76 |
116, 131, 135, 142, 157, 137, 102, 156, 133, 136, 126, 139, 163, 124, 105, 180, 169, 162, 152, 118, 146, 178, 147, 158, 148, 141, 112, 121, 120, 176, 124, 139, 147, 129, 135, 133, 144, 143, 166, 135, 162, 153, 145, 117, 148, 126, 137, 130, 147, 130 |
17, 47, 77 |
117, 138, 168, 159, 131, 139, 135, 125, 128, 137, 141, 129, 149, 171, 108, 180, 144, 145, 146, 163, 127, 113, 161, 118, 151, 122, 155, 134, 103, 177, 128, 164, 135, 130, 133, 135, 160, 144, 145, 155, 120, 140, 137, 145, 140, 143, 149, 133, 132, 135 |
1 |
2 |
18, 48, 78 |
118, 170, 138, 141, 169, 132, 145, 140, 149, 128, 122, 110, 102, 142, 133, 100, 150, 156, 112, 125, 158, 160, 127, 134, 139, 151, 136, 131, 134, 178, 144, 140, 151, 143, 139, 116, 122, 117, 153, 119, 59, 131, 145, 134, 156, 128, 156, 157, 136, 137 |
19, 49, 79 |
119, 162, 136, 124, 160, 170, 148, 110, 161, 149, 168, 172, 163, 151, 153, 166, 156, 107, 124, 155, 129, 132, 135, 101, 154, 142, 157, 123, 145, 179, 141, 130, 165, 129, 155, 170, 157, 160, 132, 140, 131, 118, 148, 140, 162, 128, 143, 154, 140, 165 |
20, 50, 80 |
120, 155, 169, 161, 121, 146, 139, 179, 152, 170, 102, 148, 164, 121, 134, 159, 142, 154, 129, 112, 150, 149, 137, 132, 119, 172, 158, 117, 145, 180, 138, 165, 134, 159, 161, 125, 143, 147, 148, 121, 150, 135, 146, 138, 163, 145, 158, 130, 163, 127 |
21, 51, 81 |
121, 178, 138, 108, 117, 180, 156, 134, 165, 151, 143, 102, 146, 120, 170, 127, 159, 113, 111, 124, 131, 145, 125, 115, 144, 129, 166, 135, 163, 161, 150, 123, 149, 145, 158, 123, 133, 149, 136, 118, 138, 120, 137, 151, 162, 130, 143, 137, 157, 154 |
22, 52, 82 |
122, 139, 154, 156, 130, 115, 149, 137, 155, 172, 178, 111, 145, 101, 150, 138, 153, 127, 136, 108, 142, 167, 148, 143, 119, 131, 165, 141, 126, 162, 131, 155, 123, 143, 164, 145, 123, 144, 140, 122, 155, 146, 125, 153, 144, 138, 148, 140, 126, 167 |
23, 53, 83 |
123, 118, 151, 145, 180, 126, 120, 169, 121, 133, 144, 131, 132, 149, 176, 133, 136, 111, 130, 140, 153, 101, 156, 114, 161, 164, 141, 154, 104, 163, 121, 148, 153, 145, 127, 138, 141, 155, 124, 135, 127, 135, 163, 148, 134, 137, 132, 150, 148, 133 |
1 |
2 |
24, 54, 84 |
124, 141, 158, 130, 147, 160, 117, 102, 140, 114, 162, 145, 153, 108, 177, 170, 119, 155, 148, 126, 134, 129, 179, 131, 161, 139, 133, 132, 156, 164, 133, 144, 154, 110, 127, 154, 131, 174, 137, 138, 132, 155, 150, 133, 160, 141, 136, 132, 131, 151 |
25, 55, 85 |
125, 132, 136, 113, 157, 153, 104, 137, 144, 175, 141, 149, 123, 170, 133, 159, 151, 128, 146, 125, 115, 107, 139, 120, 169, 135, 122, 111, 179, 165, 129, 125, 155, 121, 160, 145, 147, 146, 140, 136, 111, 130, 152, 117, 172, 131, 123, 131, 145, 143 |
26, 56, 86 |
126, 159, 141, 164, 103, 157, 155, 138, 132, 176, 121, 117, 109, 46, 152, 111, 144, 113, 105, 112, 156, 124, 135, 178, 149, 153, 169, 128, 119, 166, 143, 153, 130, 147, 154, 119, 128, 132, 129, 109, 140, 157, 151, 149, 143, 134, 162, 129, 148, 127 |
27, 57, 87 |
127, 100, 142, 145, 130, 146, 105, 141, 149, 157, 122, 144, 156, 137, 117, 131, 155, 160, 134, 161, 147, 155, 132, 173, 176, 162, 113, 126, 123, 167, 114, 144, 138, 123, 153, 133, 147, 124, 158, 148, 151, 153, 169, 120, 145, 135, 123, 118, 144, 136 |
28, 58, 88 |
128, 124, 174, 163, 169, 157, 145, 143, 112, 118, 132, 100, 139, 147, 130, 151, 159, 134, 149, 106, 148, 136, 172, 137, 121, 155, 115, 126, 138, 168, 126, 169, 163, 144, 115, 116, 143, 141, 147, 128, 142, 155, 138, 121, 153, 151, 144, 157, 150, 122 |
29, 59, 89 |
129, 178, 161, 113, 146, 131, 121, 111, 114, 159, 139, 124, 169, 133, 175, 115, 110, 157, 108, 122, 119, 152, 148, 100, 145, 154, 105, 128, 136, 169, 154, 137, 139, 116, 137, 132, 151, 145, 134, 115, 136, 124, 150, 117, 153, 145, 146, 134, 121, 127 |
30, 60, 90 |
130, 152, 149, 127, 123, 131, 178, 148, 116, 140, 112, 174, 153, 106, 139, 150, 141, 138, 147, 164, 180, 159, 145, 162, 144, 151, 109, 165, 129, 170, 141, 138, 127, 163, 128, 143, 130, 145, 140, 156, 170, 154, 148, 137, 150, 140, 141, 151, 140, 114 |