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Группировка коммерческих банков РФ по экономически чувствительным показателям

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18

КОНТРОЛЬНАЯ РАБОТА №1

Задача 1

По данным Приложения 1 произведите группировку 30-ти коммерческих банков
РФ (в зависимости от Вашего варианта) по величине:

a) уставного фонда;

б) активов-нетто.

Каждую группу охарактеризуйте тремя наиболее экономически
чувствительными показателями, имеющимися в приложение 1 . Наряду с
абсолютными размерами показателей, приведите относительные величины
структуры.

Результаты группировки изложите в сводных групповых таблицах и
проанализируете.

Постройте гистограмму распределения банков по рассмотренным признакам.

Таблица 1.1

Список крупнейших банков России по размеру уставного фонда (на 1.
03.2000 г., млн. долл.)

№Наименование№ регис- трацииВозрастАктивы- неттоУставный фондТекущая
прибыльКапитал1234567841Мосфильмбанк 316351,681,430,011,4642Корвет
250862,811,400,011,5143Метрополь 1639821,841,390,072,6344Алмаззолото
319657,381,260,021,7245Дзержинский
101399,821,260,021,5046Капиталъ-экспресс303654,261,260,011,64

48Оптбанк 313854,611,220,071,3649Межрегиональн.
Почтовый317153,321,200,001,2150Курганпромбанк
121892,331,150,021,49№Наименование№ регис- трацииВозраст,

летАктивы- неттоУставный фондТекущая
прибыльКапитал1234567851Мико-банк319553,081,140,051,3552Москва.
Центр2469615,141,060,341,6153ВУЗ-банк171277,121,050,041,7854Новый
Московский293251,681,030,011,4255Мечел-банк41994,600,920,071,4156БМБ1871
72,200,880,041,4657Воквнешторг-банк 312920,210,870,093,6558Европейский
161687,740,870,011,5759Башкирский
железнодор.278252,720,840,041,1060Инстройбанк
274351,590,770,020,9461Курскпромбанк
735922,370,770,163,8962Диам-банк207571,420,720,060,7863Автогазбанк
1713912,610,690,252,7464Екатеринбург 3161510,260,690,0008765МКБ им.
Сергея Живаго206576,120,650,011,0866Донкомбанк
49295,270,630,041,0867Вербанк
237467,330,610,042,9068Зернобанк233766,300,610,101,1369Национальный
торговый3087522,670,560,030,9470АКИБ Пионер банк
(ЗАО)310853,420,520,031,92

Решение:

1. Произведем группировку 29 коммерческих банков РФ по величине
уставного фонда.

При образовании групп с равными интервалами, величина интервала
определяется по формуле:
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где Xmax и Xmin – максимальное и минимальное значение признака
соответственно,

n – число групп.

ИнтервалКол-во
банков0,52-0,70280,702-0,88470,884-1,06641,066-1,24841,248-1,436Сумма29

Таблица 1.2

Группировка коммерческих банков по величине уставного капитала, млн.
руб.

№Группы банков по

велич. УК,

млн. руб.

Наименование

банка

Возраст,

лет

Капитал

Чистые

активы

Уставный

фонд

Прибыль/

убыток1234567810,52-0,702Автогазбанк 92,7412,610,690,25Екатеринбург
50,8710,260,690,00МКБ им. Сергея Живаго71,086,120,650,01Донкомбанк
91,085,270,630,04Вербанк
62,907,330,610,04Зернобанк61,136,300,610,10Национальный
торговый50,9422,670,560,03АКИБ Пионер банк
(ЗАО)51,923,420,520,03ИТОГО8-12,6673,984,960,520,702-0,884БМБ71,462,200,
880,04Воквнешторгбанк 93,6520,210,870,09Европейский
81,577,740,870,01Башкирский железнодор.51,102,720,840,04Инстройбанк
50,941,590,770,02Курскпромбанк
93,8922,370,770,16Диам-банк70,781,420,720,06ИТОГО7-13,3958,255,720,4230,
884-1,066Москва. Центр61,6115,141,060,34ВУЗ-банк71,787,121,050,04Новый
Московский51,421,681,030,01Мечел-банк91,414,600,920,07ИТОГО4-6,2228,544,
060,461234567841,066-1,248Оптбанк 51,364,611,220,07Межрегиональн.
Почтовый51,213,321,200,00Курганпромбанк
91,492,331,150,02Мико-банк51,353,081,140,05ИТОГО4-5,4113,344,710,1451,24
8-1,43Мосфильмбанк 51,461,681,430,01Корвет 61,512,811,400,01Метрополь
82,6321,841,390,07Алмаззолото 51,727,381,260,02Дзержинский
91,509,821,260,02Капиталъ-экспресс51,644,261,260,01ИТОГО6-10,4647,798,00
,14ВСЕГО29-48,14221,927,451,66

Таблица 1.3

Сводная группировка коммерческих банков по величине уставного капитала,
млн. руб.

№ Группы банков по

величине УК,

млн. руб.

Кол-во

банковКапиталЧистые

активыУставный

фондПрибыль/

убытокмлн.

руб.% к

итогумлн.

руб.% к

итогумлн.

руб.% к

итогумлн.

руб.% к

итогу10,52-0,702812,6626,2973,9833,344,9618,070,530,1220,702-0,884713,39
27,8258,2526,255,7220,840,4225,3130,884-1,06646,2212,9228,5412,864,0614,
790,4627,7141,066-1,24845,4111,2413,346,014,7117,160,148,4351,248-1,4361
0,4621,7347,7921,548,029,140,148,43ИТОГО2948,14100221,910027,451001,6610
0

Вывод: из проанализированных 29 банков – 6 банков имеют наибольшую
величину уставного фонда в пределах от 1,248 до 1,43 млн. рублей, на их
долю приходится 11,46% всего капитала. По величине чистых активов
(61,04% всего объема) преобладают банки с уставным фондом в пределах от
1,066 до 1,248 млн. рублей (5 банков), на их долю приходится 53,2 %
всего капитала.

Гистограмма распределения банков по величине уставного капитала
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0000000080808000250000000c00000005000000280000000c000000040000001d000000
18000000d200000008000000340100001b00000056000000300000005d00000036000000
6000000096000000050000005d0096005d00390060003600600093005d00960056000000
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03000000250000000c00000005000080250000000c00000005000000190000000c000000
ffffff00180000000c000000ffffff001e00000018000000040000000400000039010000
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0c0000004d4d8000140000000c0000000d000000120000000c0000000200000056000000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1800000006000000000000009999ff0000000000250000000c0000000600000028000000
0c00000005000000180000000c000000ffffff00190000000c0000009999ff0056000000
300000008d000000660000009500000096000000050000008d0096008d00660095006600
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0c0000007373bf00190000000c0000007373bf0056000000300000008d00000064000000
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0c0000000d000080250000000c00000001000000250000000c0000000700008025000000
0c00000000000080250000000c0000000d000080220000000c000000ffffffff21000000
08000000250000000c00000001000000250000000c00000006000000250000000c000000
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8200000058000000a000000070000000180000000c00000000000000190000000c000000
ffffff00140000000c0000000d000000120000000c000000010000005400000064000000
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040000004c000000000000000000000000000000ffffffffffffffff5400000034002c00
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0c00000001000000250000000c00000007000080250000000c0000000000008025000000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00001e00040000002d010200040000002d010400050000000102ffffff00050000000902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Рисунок 1.

2. Произведем группировку 29 коммерческих банков РФ по величине чистых
активов.

Найдем величину интервала для преобразования групп с равными интервалами
по формуле:
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ИнтервалКол-во
банков1,42-5,67155,67-9,9279,92-14,17214,17-18,42118,42-22,674Сумма29

Таблица 1.4

Группировка коммерческих банков по величине чистых активов, млн. руб.

№Группы банков по

Величине чистых активов,

млн. руб.

Наименование

банка

Возраст,

лет

Капитал

Чистые

активы

Уставный

фонд

Прибыль/

убыток1234567811,42-5,67АКИБ Пионер банк
(ЗАО)51,923,420,520,03БМБ71,462,200,880,04Донкомбанк
91,085,270,630,04Башкирский железнодор.51,102,720,840,04Инстройбанк
50,941,590,770,0212345678Диам-банк70,781,420,720,06Новый
Московский51,421,681,030,01Мечел-банк91,414,600,920,07Оптбанк
51,364,611,220,07Межрегиональн. Почтовый51,213,321,200,00Курганпромбанк
91,492,331,150,02Мико-банк51,353,081,140,05Мосфильмбанк
51,461,681,430,01Корвет
61,512,811,400,01Капиталъ-экспресс51,644,261,260,01ИТОГО15-20,1344,9915,
110,4825,67-9,92МКБ им. Сергея
Живаго71,086,120,650,01Зернобанк61,136,300,610,10Европейский
81,577,740,870,01ВУЗ-банк71,787,121,050,04Алмаззолото
51,727,381,260,02Дзержинский 91,509,821,260,02Вербанк
62,907,330,610,04ИТОГО7-11,6851,816,310,2439,92-14,17Автогазбанк
92,7412,610,690,25Екатеринбург
50,8710,260,690,00ИТОГО2-3,6122,871,380,25414,17-18,42Москва.
Центр61,6115,141,060,34ИТОГО1-1,6115,141,060,34518,42-22,67Национальный
торговый50,9422,670,560,0312345678Воквнешторгбанк
93,6520,210,870,09Курскпромбанк 93,8922,370,770,16Метрополь
82,6321,841,390,07ИТОГО4-11,1187,093,590,35ВСЕГО29-48,14221,927,451,66

Таблица 1.5

Сводная группировка коммерческих банков по величине чистых активов, млн.
руб.

№ Группы банков по

величине чистых активов,

млн. руб.

Кол-во

банковКапиталЧистые

активыУставный

фондПрибыль/

убытокмлн.

руб.% к

итогумлн.

руб.% к

итогумлн.

руб.% к

итогумлн.

руб.% к

итогу11,42-5,671520,1341,8244,9920,2715,1155,050,4828,9225,67-9,92711,68
24,2651,8123,356,3122,990,2414,4639,92-14,1723,617,4922,8710,311,385,030
,2515,06414,17-18,4211,613,3415,146,821,063,860,3420,48518,42-22,67411,1
123,0887,0939,253,5913,070,3521,08ИТОГО2948,14100221,910027,451001,66100

Вывод: из проанализированных 29 банков в основном преобладают малые
банки (15 банков) с величиной чистых активов не более 44,99 млн. рублей,
на долю которых приходится 20,27% всего капитала и 55,05% уставного
фонда.

Гистограмма распределения банков по величине уставного капитала
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000000000000040000002d0100001c000000fb02f5ff000000000000bc02000000cc0000
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0000000000000000000000000000000000000000000000000000040000002d0102000400
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ff0005000000090200000000040000002c0100000700000016049f003701040004000700
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ffffff0005000000090200000000040000002c0100000700000016049f00370104000400
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ff000500000001029999ff000e000000240305007900540079003a007d003a007d005400
7900540007000000fc020000000000000000040000002d01050004000000f00109000700
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040000002701ffff030000001e00040000002d010100040000002d010900040000002d01
03000500000001027373bf000500000009027373bf00040000002c010000070000001604
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0600040000002d010200040000002d010100040000002d010600040000002d0107000400
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040000002d010300050000000102ffffff0005000000090200000000040000002c010000
0700000016049f0037010400040008000000fa0200000100000000000000040000002d01
0a0004000000f001030007000000fc0200004d4d80000000040000002d01030004000000
f00109000500000009024d4d80000500000001024d4d80000400000004010d0004000000
020102000e0000002403050089005400890049008b0048008b0053008900540007000000
fc0200009999ff000000040000002d01090004000000f0010300050000000902ffffff00
0500000001029999ff000e00000024030500840054008400490089004900890054008400
5400040000002d01050004000000f001090007000000fc0200007373bf00000004000000
2d0103000500000009027373bf000500000001027373bf000e0000002403050089004900
8b004800860048008400490089004900040000002d010200040000002d01010004000000
2d010600040000002d010700040000002d010200040000002701ffff030000001e000400
00002d010100040000002d010300040000002d010a000500000001027373bf0005000000
09027373bf00040000002c010000070000001604540095003d007a000500000009020000
0000050000000102ffffff000400000004010d0004000000020101000d000000320a4100
7d0004000000362c33310600030006000600040000002d010200040000002d0101000400
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040000002d010100040000002d010300040000002d010a00050000000102ffffff000500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050000000102ffffff0005000000090200000000040000002c0100000700000016049f00
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090008000000fa0200000100000000000000040000002d01030005000000140254007500
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ffffff00050000000902ffffff00040000002c0100000700000016041b0032010800d100
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fc0200009999ff000000040000002d0103000500000001029999ff000400000004010d00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Рисунок 2.

Задача №2

Произведите комбинационную группировку коммерческих банков по двум
признакам: возрасту и величине капитала.

Проанализируйте полученную группировку.

Решение:

1. Найдем величину интервала для группировки банков по возрасту:
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Номер группыИнтервал15,0-5,825,8-6,636,6-7,447,4-8,258,2-9,0

2. Найдем величину интервала для группировки банков по величине
капитала:
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Номер
группыИнтервал10,78-1,40221,402-2,02432,024-2,64642,646-3,26853,268-3,89

Таблица 2.1.

Группировка коммерческих банков по возрасту величине капитала

№Группы банков по

возрасту,

летВ том числе подгруппы по величине капитала, млн. руб.Число

банковКапитал,

млн. руб.Чистые

активы,

млн. руб.Уставный

фонд,

млн. руб.Прибыль/

убыток,

млн.
руб.1234567815,0-5,80,78-1,40277,7748,256,420,211,402-2,02458,1618,425,5
0,082,024-2,646—–2,646-3,268—–3,268-3,89—–ИТОГО ПО
ГРУППЕ1215,9366,6711,920,2925,8-6,60,78-1,40211,136,30,610,101,402-2,024
23,1217,952,460,352,024-2,646—–2,646-3,26812,97,330,630,043,268-3,89-
—-ИТОГО ПО
ГРУППЕ47,1531,583,70,4936,6-7,40,78-1,40221,867,541,370,071,402-2,02423,
249,321,930,082,024-2,646—–2,646-3,268—–3,268-3,89—–ИТОГО ПО
ГРУППЕ45,116,863,30,1547,4-8,20,78-1,402—–1,402-2,02411,577,740,870,0
12,024-2,64612,6321,841,390,072,646-3,268—–3,268-3,89—–ИТОГО ПО
ГРУППЕ24,229,582,260,081234567858,2-9,00,78-1,40211,085,270,630,041,402-
2,02434,416,753,330,112,024-2,646—–2,646-3,26812,7412,610,690,253,268
-3,8927,5442,581,650,25ИТОГО ПО
ГРУППЕ715,7677,216,30,65ВСЕГО2948,14221,927,451,66

Вывод: проанализировав данную группировку можно сделать вывод о том, что
преобладают банки в возрасте от 5,0 до 5,8 лет (12 банков), с величиной
капитала от 0,78 до 1,402 млн. руб.

Задача №3

Постройте ряды распределения по 29 коммерческим банкам РФ:

а) по величине капитала;

б) по возрасту.

По полученным рядам распределения определите среднее, модальное и
медианное значение каждого показателя.

Для графического изображения изучаемых вариационных рядов постройте
гистограмму распределения (для интервального ряда) и полигон
распределения (для дискретного ряда), а также кумулятивные кривые для
изображения ряда накопленных частот.

Решение:

1. Построим ряд распределения банков по величине капитала:

Величина интервала:

picscalex100010009000003b601000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02e003801b1200000026060f001a00ffffffff000010000000c0ffffff
bcffffff401b00009c0300000b00000026060f000c004d617468547970650000c0000800
0000fa0200001000000000000000040000002d0100000500000014020002540205000000
13020002880b1c000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e00a8aaf377b1aaf3772030f5777909665f040000002d0101000900
0000320a6002f418030000003632326508000000320a60029418010000002c3208000000
320a6002da1701000000303208000000320a60027e1501000000353208000000320a6002
e414010000002f3208000000320a6002321401000000293208000000320a6002b8120200
0000373808000000320a60025812010000002c3808000000320a60029e11010000003038
08000000320a6002bc0e02000000383908000000320a6002680e010000002c3908000000
320a6002ba0d01000000333908000000320a60023c0d01000000283909000000320a6a01
1609030000006d696e6509000000320a6a01df03030000006d6178651c000000fb0280fe
0000000000009001000000020002001053796d626f6c00000e0a0a45a0f11200a8aaf377
b1aaf3772030f5777909665f040000002d01020004000000f001010008000000320a6002
a016010000003d6108000000320a60028410010000002d6108000000320a6002020c0100
00003d6108000000320a6a018506010000002d6108000000320a60020e01010000003d61
1c000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f
6d616e00a8aaf377b1aaf3772030f5777909665f040000002d01010004000000f0010200
08000000320a90039106010000006e6108000000320a6a01c30701000000586108000000
320a6a018c0201000000586108000000320a60022e000100000069610a00000026060f00
0a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc01020222
53797374656d005f7909665f00000a0021008a010000000002000000bcf3120004000000
2d01020004000000f0010100030000000000

Таблица 3.1

№Группы банков по величине капитала, млн. руб.Число

банков,

FiСередина

интервала,

XiXi*FiСумма

накопленных

частот,

SXi-X(Xi-X)*Fi(Xi-X)2(Xi-X)2*Fi10,78-1,402121,09113,092120,987
11,8440,97411,68821,402-2,02441,7136,852160,3651,460,1330,53232,024-2,64
642,3359,34200,2571,0280,0660,26442,646-3,26822,9575,914220,8791,7580,77
31,54653,268-3,8973,57925,053291,50110,5072,25315,771ВСЕГО29-60,251–26,
597-29,801

Среднее значение показателя рассчитывается как средняя арифметическая
интервального ряда по формуле:
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где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середины интервалов;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частота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го интервала.

Мода – значение признака, наиболее часто встречающееся в исследуемой
совокупности, т.е. это одна из вариант признака, которая в ряду
распределения имеет наибольшую частоту.

Модальным интервалом является 1-ый интервал с частотой Fmo=29
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где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 нижняя
граница модального интервала;
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величина
модального интервала,
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частота
модального интервала;

picscalex1000100090000033c0100000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002c0041200000026060f001a00ffffffff00001000
0000c0ffffffa6ffffff80040000060200000b00000026060f000c004d61746854797065
0000700010000000fb0280fe0000000000009001000000020002001053796d626f6c0002
040000002d01000008000000320a8001ab03010000002d0010000000fb0220ff00000000
00009001000000020002001053796d626f6c0002040000002d01010004000000f0010000
08000000320ae0015e02010000002d0015000000fb0220ff000000000000900100000000
0402001054696d6573204e657720526f6d616e0000c4040000002d01000004000000f001
010008000000320ae001cd0201000000310015000000fb0260ff00000000000090010000
00000402001054696d6573204e657720526f6d616e0000c4040000002d01010004000000
f001000008000000320a1802e90101000000300015000000fb0220ff0000000000009001
010000000402001054696d6573204e657720526f6d616e0000c4040000002d0100000400
0000f001010008000000320ae0011401010000004d0015000000fb0280fe000000000000
9001010000000402001054696d6573204e657720526f6d616e0000c4040000002d010100
04000000f001000008000000320a800182000100000066000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01000004000000f0010100030000000000частота интервала,
предшествующая модальному;
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 частота интервала,
следующего за модальным.

Медиана – это варианта, которая находится в середине вариационного ряда.

Находим номер медианы: N=15,5

Медианный интервал находится в пределах 0,78-1,402 млн.руб.

Для нахождения медианы в интервальном вариационном ряду применяется
формула:

picscalex1000100090000033203000004001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600660301200000026060f001a00ffffffff000010000000c0ffffff
adffffff203000000d0600000b00000026060f000c004d617468547970650000f0000800
0000fa0200000800000000000000040000002d0100000500000014026002320905000000
13026002490c08000000fa0200001000000000000000040000002d010100050000001402
200412090500000013022004d5101c000000fb0280fe0000000000009001000000000402
001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577f307668e0400
00002d01020008000000320a8004e12f010000002e7908000000320a80042f2d01000000
2e7909000000320a80048128030000003130326508000000320a80044528010000002c30
08000000320a8004aa2701000000313008000000320a8004b22402000000323808000000
320a80040c24010000002f3808000000320a80045b2301000000293808000000320a8004
e12102000000323808000000320a8004fa1e02000000323908000000320a8004041e0100
00002a3908000000320a80041a1d01000000353908000000320a8004c01c010000002c39
08000000320a8004071c01000000303908000000320a8004841b01000000283908000000
320a8004941a010000002a3909000000320a80042518030000003632326508000000320a
8004c517010000002c3208000000320a80040c1701000000303209000000320a80046613
030000003430326508000000320a80040013010000002c3008000000320a800465120100
0000313008000000320af003640a0100000032301c000000fb0220ff0000000000009001
000000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf3772030f577
f307668e040000002d01030004000000f001020008000000320a20034210010000003130
1c000000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f
6d616e00a8aaf377b1aaf3772030f577f307668e040000002d01020004000000f0010300
09000000320a8004b32d03000000f0f3e16509000000320a8004de2a03000000ecebed65
1c000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f
6d616e00a8aaf377b1aaf3772030f577f307668e040000002d01030004000000f0010200
08000000320ab005390c0100000066eb08000000320ac002c90d0100000053eb08000000
320aa101560b0100000066eb08000000320a800437070100000069eb08000000320a8004
e5030100000078eb08000000320a80044000020000004d651c000000fb0220ff00000000
00009001010000000402001054696d6573204e657720526f6d616e00a8aaf377b1aaf377
2030f577f307668e040000002d01020004000000f001030008000000320a1006bb0c0200
00004d6508000000320a20039a0e020000004d6508000000320a0102ce0b010000006965
08000000320ae0049e07020000004d6508000000320ae0049004020000004d651c000000
fb0280fe0000000000009001000000020002001053796d626f6c0000f0090a3aa0f11200
a8aaf377b1aaf3772030f577f307668e040000002d01030004000000f001020008000000
320a80049426010000003d6508000000320a8004c120010000002d6508000000320a8004
ed15010000002b6508000000320a80044f11010000003d6508000000320ac002a30c0100
00002d6508000000320a80041e06010000002b6508000000320a80049302010000003d65
1c000000fb0220ff0000000000009001000000020002001053796d626f6c0000320a0a22
a0f11200a8aaf377b1aaf3772030f577f307668e040000002d01020004000000f0010300
08000000320a2003cb0f010000002d651c000000fb02c0fd000000000000900100000002
0002001053796d626f6c0000f0090a3ba0f11200a8aaf377b1aaf3772030f577f307668e
040000002d01030004000000f001020008000000320afa01490901000000e5650a000000
26060f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc
0102022253797374656d008ef307668e00000a0021008a010000000002000000bcf31200
040000002d01020004000000f0010300030000000000

где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нижняя
граница медианного интервала,
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величина
медианного интервала,
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сумма частот,
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сумма накопленных
частот, предшествующих медианному интервалу,
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частота
медианного интервала.
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07000000fc020000000080000000040000002d0106000500000009020000000005000000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Рисунок 3.

2. Построим ряд распределения банков по возрасту.

Величина интервала: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Таблица 3.2

№Группы банков по возрасту,

летЧисло

банков,

FiСередина

интервала,

XiXi*FiСумма

накопленных

частот,

SXi-X(Xi-X)*Fi(Xi-X)2(Xi-X)2*Fi15,0-5,8125,464,8121,25151,5618,7225,8-6,
656,231,0170,452,250,21,036,6-7,437,028,0200,351,40,120,4847,4-8,227,815
,6221,152,31,322,6458,2-9,078,660,2291,9513,653,826,6ВСЕГО29-199,6–34,6
-49,44

Среднее значение показателя рассчитывается как средняя арифметическая
интервального ряда по формуле:
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где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середины интервалов;
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частота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го интервала.

Мода – значение признака, наиболее часто встречающееся в исследуемой
совокупности, т.е. это одна из вариант признака, которая в ряду
распределения имеет наибольшую частоту.

Модальным интервалом является 1-ый интервал с частотой Fmo=12
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где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 нижняя
граница модального интервала;
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величина
модального интервала,
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частота
модального интервала;
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частота интервала,
предшествующая модальному;
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 частота интервала,
следующего за модальным.

Медиана – это варианта, которая находится в середине вариационного ряда.

Находим номер медианы: N=15,5

Медианный интервал находится в пределах 5,8-6,6 лет.

Для нахождения медианы в интервальном вариационном ряду применяется
формула:
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где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нижняя
граница медианного интервала,
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величина
медианного интервала,
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сумма частот,

picscalex100010009000003170100000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024002a0041200000026060f001a00ffffffff00001000
0000c0ffffffa6ffffff60040000e60100000b00000026060f000c004d61746854797065
0000600010000000fb0280fe0000000000009001000000020002001053796d626f6c0002
040000002d01000008000000320a80019703010000002d0010000000fb0220ff00000000
00009001000000020002001053796d626f6c0002040000002d01010004000000f0010000
08000000320ae0014a02010000002d0015000000fb0220ff000000000000900100000000
0402001054696d6573204e657720526f6d616e0000be040000002d01000004000000f001
010008000000320ae001b90201000000310015000000fb0220ff00000000000090010100
00000402001054696d6573204e657720526f6d616e0000be040000002d01010004000000
f001000008000000320ae0012101020000004d6515000000fb0280fe0000000000009001
010000000402001054696d6573204e657720526f6d616e0000be040000002d0100000400
0000f001010008000000320a800140000100000053000a00000026060f000a00ffffffff
01000000000010000000fb021000070000000000bc02000000cc0102022253797374656d
00cc040000002d01010004000000f0010000030000000000сумма накопленных
частот, предшествующих медианному интервалу,
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частота
медианного интервала.
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250000000c00000004000000250000000c00000007000000250000000c00000006000000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ffffffffffffffff50000000340000000400000054000000540000002a0000006d000000
2d00000076000000010000001886d1411886d1412a0000006d000000010000004c000000
000000000000000000000000ffffffffffffffff50000000360000000400000054000000
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62000000010000004c000000000000000000000000000000ffffffffffffffff50000000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Рисунок 4.

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a9004400ac004100040000002d010900040000002d010a00040000002d01010004000000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Рисунок 5.

Задача №4.

По построенным в задаче 3 рядам распределения рассчитайте:

а) размах вариации;

б) среднее линейное отклонение;

в) среднее квадратичное отклонение;

г) коэффициент вариации.

Расчеты показателей оформите в табличной форме.

Проанализируйте полученные результаты.

Решение:

Для расчета показателей вариации используем расчетные данные,
представленные в таблицах 3.1 и 3.2.

1.Размах вариации представляет собой абсолютную разность между
максимальным и минимальным значениями признака в изучаемой совокупности
и вычисляется по формуле:

а)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б)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2.Среднее линейное отклонение вычисляется как взвешенное по частоте
отклонение по модулю середин интервалов от средней арифметической
величины:

а)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б)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Наиболее широко используются в статистической практике и являются
общепринятыми мерами вариации показатели дисперсии и среднего
квадратического отклонения.

Дисперсия представляет собой средний квадрат отклонений индивидуальных
значений признака (для данного примера – середин интервалов) от их
средней величины. Расчет дисперсии производится по формуле:
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;

3. Корень квадратный из дисперсии называется средним квадратическим
отклонением:

а)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б)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4. Коэффициент вариации – это относительный показатель вариации, равный
процентному отношению среднего квадратического отклонения к средней
арифметической:

а)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б)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Вывод: рассчитанная величина коэффициента вариации по двум рядам
распределения свидетельствует: а) в первом случае – о высоком уровне
колеблемости признака (т.к. рассчитанный коэффициент имеет высокое
значение); б) во втором случае – о незначительном уровне колеблемости
признака. Данные совокупности считаются неоднородными.

Задача №5

По данным задачи №1 проведите 20-процентную механическую выборку банков
по величине капитала. Результаты представьте в таблице.

Установите:

а) средний размер капитала банков по выборке;

б) величину ошибки при определении величины капитала на основе выборки;

в) вероятные пределы колебания величины капитала для всех банков при
вероятности 0,954.

Решение:

Таблица 5.1

Выборка коммерческих банков по величине уставного капитала, млн. руб.

№Группы банков по

велич. УК,

млн. руб.Наименование

банкаВозраст,

летКапиталЧистые

активыУставный

фондПрибыль/

убыток12345678Автогазбанк 92,7412,610,690,25Донкомбанк
91,085,270,630,04Вербанк
62,907,330,610,04Зернобанк61,136,300,610,10БМБ71,462,200,880,04Европейск
ий 81,577,740,870,01Инстройбанк 50,941,590,770,02Курскпромбанк
93,8922,370,770,16Диам-банк70,781,420,720,06Москва.
Центр61,6115,141,060,34ВУЗ-банк71,787,121,050,04Новый
Московский51,421,681,030,01Оптбанк 51,364,611,220,07Курганпромбанк
91,492,331,150,02Мико-банк51,353,081,140,0512345678Мосфильмбанк
51,461,681,430,01Метрополь 82,6321,841,390,07Алмаззолото
51,727,381,260,02Дзержинский
91,509,821,260,02Капиталъ-экспресс51,644,261,260,01ВСЕГО20-34,54145,7719
,81,38

1. Средний размер капитала банка по выборке:
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2. Средняя ошибка выборки:
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,

где n и N – объем выборочной и генеральной совокупности соответственно.

дІ = ?(хi-х)І/n = (34,54-1,727)І/20 = 53,83

3. Предельная ошибка
(picscalex100010009000003fa00000002001c000000000005000000090200000000050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) определяется умножением средней ошибки на коэффициент доверия t ,
определяемый в зависимости от уровня вероятности (он равен 2).
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 t* м=2*1,47=2,94 млн.руб.

4. Вероятные пределы колебания величины капитала:

picscalex115010009000003c001000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e01180000000500000031020100
0000050000000b0200000000050000000c028002600c1200000026060f001a00ffffffff
000010000000c0ffffffaeffffff200c00002e0200000b00000026060f000c004d617468
547970650000600008000000fa0200001000000000000000040000002d01000005000000
14025a00a7050500000013025a0055061c000000fb0280fe0000000000009001000000cc
0402001054696d6573204e657720526f6d616e2043797200d067ef77d0050af500000a00
040000002d01010008000000320ac001cd0b010000002c7908000000320a2a01ec070100
00007e7908000000320a2a014500010000007e791c000000fb0220ff0000000000009001
000000cc0402001054696d6573204e657720526f6d616e2043797200d067ef77c6040a30
00000a00040000002d01020004000000f001010008000000320ac901270b010000007e79
08000000320ac9017b03010000007e791c000000fb0220ff0000000000009001010000cc
0402001054696d6573204e657720526f6d616e2043797200d067ef77d0050af600000a00
040000002d01010004000000f001020008000000320a20022c0b01000000787908000000
320a200280030100000078791c000000fb0280fe0000000000009001010000cc04020010
54696d6573204e657720526f6d616e2043797200d067ef77c6040a3100000a0004000000
2d01020004000000f001010008000000320ac001f30701000000787908000000320ac001
b30501000000787908000000320ac0014c000100000078791c000000fb0280fe00000000
00009001000000020002001053796d626f6c0000d0050af7d27ced77db7ced77d067ef77
d0050af700000a00040000002d01010004000000f001020008000000320ac0011e0a0100
0000447908000000320ac0010509010000002b7908000000320ac001b50601000000a379
08000000320ac001750401000000a37908000000320ac001720201000000447908000000
320ac0015e01010000002d790a00000026060f000a00ffffffff0100000000001c000000
fb021000070000000000bc02000000cc0102022253797374656d00777907665d07008a01
00000a000600000007008a0100000a00040000002d01020004000000f001010003000000
0000

1,727 – 2,94 ? ч ? 1,727 + 2,94

1,213 млн.руб.?? ч ?4,667млн.руб.

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