统 计 学

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统 计 学. 北京现代职业学校 主讲人: 冯继健. 统 计 学 主讲教师:冯继健. 第一章 统计总论. 第二章 统计调查. 第四章 综合指标. 第三章 统计整理. 第六章 指数分析. 第五章 动态数列分析. 第七章 抽样估计. 第八章 假设检验. 第一章 统 计 总 论. 教 学 目 的 本章对统计学的基本问题进行了介绍,如统计的基本涵义、统计学中的基本概念、统计工作过程与任务、统计的职能、统计组织等等。本章的教学目的是,通过学习对统计学科的性质有一个基本的认识。. 第一章 统计总论. - PowerPoint PPT Presentation

Transcript of 统 计 学

  • 50% 33% 17%

  • 20005900195281983128

  • 19982011.7719979.8%10604080130705098200

  • 1990 116000 11336851.5%48.5% 1995GDP57733 19.7% 49.% 31.3%

    1990110000 20001300002000

  • .1995

    %%%199519921978 57733324052114919.743.7458.7749.033.1221.9331.323.1419.30

  • POPULATIONINDIVIDUAL SIGN 10 2030(VARIATION (VARIABLE

    STATISTICAL INDEX

  • 1 2 4 3 5 6

  • 1 A B C DD2 A BC DB367788889 96 A B C DB4 A B C DA5 A BC DB

  • 1 DE

    A B D2 1999 B C EA C D3 B D

    B C E

  • 2B

  • 1819 201 231 231 23

    171 2 34 5 67 8

  • 21222324252627

    28

    123123123123123

    123

    123123

  • 29 12330 12331 123 32 1 2 3

  • 33123456789101112131415

    341234567891011

  • WhyWhoWhatWhenWholeSurvey table

  • 1990 ,1990

  • 19370061: :

  • 1990 71019907110 199071019907110

  • 14m2 2

  • _________________________m2

  • 11991 21992315 319923

  • WhyWhoWhatWhenWhole W

  • 1234

  • 608

  • 608

  • 1 2 3 4 5

    6 7

  • 1 A BC DB2 A B C D B3 A B C DD4 A BC DB 5 A BC DB

  • 1 B D E

    B D E 2 B D

    A B C E3 A B4

    C E

  • %5050-200200-400400-600600-800800-1000100025701307540181011.210.49.96.75.95.05.5

  • 100

  • 99 100199 200299 300399

    5060 6070 7080

  • 20 800-1000301000120 10600-80040400-60020400

  • 201000-2999303000120 10500-99940100-4992099

  • 10202030304010 1020205050606070

  • 01

  • 1021212125252026262626

    202125261324 10

  • 1

    % 100 80 50 20 40 32 20 8 250 100

  • 21

  • 50

    107111911282108212021291110112111301112212241311113112341332114112431342115112521351117312621371118312731392

  • 251

  • 50

    %105-110110-115115-120120-125125-130130-135135-140358141064610162820128 50100

  • 50

    %10536110-115510115-120816120-1251428125-1301020130-13561213548 50100

  • 3 2721521171691922001.03.510.526.058.584.596.0100831831481791931982004.015.541.574.089.596.599.0100

  • U JUUJJ

  • 1989 6.47179.78603.388.57797.4633621457302037227270119048

  • 1 2 3 4 5 601100% 7

  • 1 A BC DB2 A BC DB380 A6070 B7080C8090 D90100C4 A BC DB

  • B C D E2 AB100C1DEC D E

  • 1 2 1 2

  • 1993-1998GNP 1999

    199319941995199619971998GNP34560.546670.057494.966850.573142.778017.8

  • 1 2 1999

    300 250 450 8000 5000 7000 1000 2000 2000 200 500 300 1000 20000 5000 1000

  • //3

  • GNP GNP GDP GDP GNP

  • 2003121113GDP GDPGDPGDP GDPGDPGDP GDPGDPGDPGDPGDPGDP

  • 1 850 12750 = 850/12750 = 0.067

    2 3 1.41 = 3/1.41 = 2.131

  • 1001010

    10001100110%10%

  • 1100% 85%

  • 19951600 1099 68 93 192 148

  • 75.423.379.922.47321.2

    1958%1985%1992% 72.2 71.5 68.7 3.2 8.4 4.3 1.32.65.8 14.2 12.4 12.0 9.1 10.0 9.2 100.0100.0100.0

  • 1998 GDP

    GDPGDP%14599.618.438691.848.726104.332.9 79395.7100.0

  • 1.2:1

  • 1995127362712.031 1002031001210.95535.372.261

  • 1.5

  • 1 9 9 8

  • 1982

  • 1995

  • 1995

  • A .Maddsion1995 1990

  • 1997 1985 1993 GDP2006-2013 2120

  • /10/ 1000/

  • 21120%

  • 5200280

    5200280

  • 960

    1982 1990 101654 52352 49302 114333 58904 55429

  • 1

    %=

  • 2 11

    1800 1800 1800 1225 1720 2665 5400 5610

    % 68.06 95.56 148.06 103.89

  • 2, 50,:13.5+12.5+12.5+13 = 51.5(),50, 12+12.5+13+13.5 = 51() 9 (60 51 = 9 ) ::

  • 2 1+%% = 1+% 1-%% = 1-%

  • 3

    3% 4%

    0.97%

  • 4

    4% 3%

    1.04%

  • 1 2 3 4

  • Mode 12

  • 14032802500.180.320.25 0.2040ModeMode

  • Mode

  • /0123420601509040360

  • 5715446185423535

  • 1 2 2 Median

  • 19527119647119827119907122.720.222.925.3

  • 1990

    33.91 30.6130.1322.9121.93

  • 1112111215171920222223232526302221151617171920222223252628

  • 3 :

  • Arithmetic mean21 1,5500500650700 650

  • 5 2506508001315XFXF 2501950 80030005 5600

  • 2:156003 1

  • X f f

  • A 2640150 15032051090076010203050401516171819XFFX17.6

  • B 620020 27004506400-50014003504300-40015002506200-3006001504100-200XFX310F

  • x x f xf/f f f/f400500500600600700700800 450 550 650 750 50 70120 60 16.7 23.3 40.0 20.0 22500 38500 78000 45000 75.15 128.15 260.00 150.00 300 100 184000 613.3

  • C

  • D :1 2

  • 3

  • 12 Harmonic mean m=xf)

  • = 101.52% m61.52%

  • xm

  • 1

  • 23

  • Arithmetic mean5500500650700 650

    5600

  • 5 2506508001315XFXF 2501950 80030005 5600

  • 620020 27004506400-50014003504300-40015002506200-3006001504100-200XFX310F

  • 606575808595100727578808285 88

  • 2015551520852258

  • 2015551520

  • Range1211151719 2022222323252630R=30-15=1511 1516171920222223252637R=37-15=22

  • 32 Mean deviation1

  • 25 28 30 35 42 18 24 32 38 48 1x =x == 32 32 2

  • 200X25354555F XF 250 2450 4050 1650 8400 -17 -7 3 13 17 7 3 13 170 490 270 3901320=

    20-3030-4040-5050-60 10 70 90 30 200

  • Standard deviation12

  • 2:= 74 ():= 11 () (x) (f) 55 10 65 24 75 36 85 22 95 8 100 550156027001870760-19-9111213610194436266235281178030250101400202500158950 722005653007440= 11

  • (x) (f) 55 10 65 24 75 36 85 22 95 8 100 550156027001870760-19-9111213610194436266235281178030250101400202500158950 722005653007440

  • () Coefficient of variation12

  • 3

  • 307010880523408816898903247615049097280067630887042016137213505125954

    5 7 9 10 13 6 10 12 8 4 8 12 14 15 16 11 14 7 6 2 40 40

  • = 8.5 ():= 11.9 (): = 2.22 (): = 2.69 () 123::

  • 19901001234561991199219931994199593981089412237160532059891101154514764215192966223652677323645105500113.8132.0148.2194.5249.5129.5164.1209.9305.9421.7110.0124.5150.5209.8255.8

  • 1

  • 23

  • a0an

  • a0a1a2a3a4a5

    19901991199219931994199518530.721617.826635.434515.145005.857733

  • ()

  • 111515

  • 2

    1616

  • 130130

  • A

  • B

  • C f1= f2 = fn-1

  • 2 ab a b abAb

  • 1 a b

  • 2

  • 3.69

  • 9

  • =

  • 199719981999 110%150%180% 199819991999 = 110%150%180% = 297%1998 = 110%150% = 165%

  • 19951998180% 19851999200% 1999 1999 =

  • = 1 = 2 =

  • 3 4(n)

  • = 1

  • 1100%1100%

  • 19952000234519952000 1

  • 104722915580104176205360440130116106128111 301662811100151130160205228 3051601051283.434.475.195.487.03

  • = 1100%

  • x1xn1

  • 2n

  • 3R

  • 19962000 130%116%106%128%110% 19962000 1962000125.66%

  • 2000500 20055000

  • 2000574.8 13%2006 20061196.7

  • 20052000 2 20052000220052000320002005300% = 25%

  • 19611995

    196119621963196419651966196719681969197019711972147501600017000187501945321400217822090621097239962501424048197319741975197619771978197919801981198219831984264942752728452286312827330477332123205632502354503872840731198519861987198819891990199119921993199419953791139151402983940840755434984352444258456444445045600

  • yc t ab

  • abP4039-18

  • 19901995tyt2tyYc=80.23+5.231491625 36 __85.6182.0288.3404.8535.0673.22168.985.690.996.2101.5 106.8 112.1 593.1

    1990185.619912182.019923288.319934404.819945535.019956673.2212168.9

  • ab t = 0 ab

  • t = 0 123123P40413571357P404

  • 2001

  • t-1-3-5-71357t249259119 2549ty-336-250-159-5355159280413y2001t = 9

  • P259 y = fx

  • 1 234

  • P2647-3P2657-4P2667-5p2687-1

  • 1 P271

  • 22 P27513

  • 1.444.009.6114.4425.0017.2151.8464.00207.54384473966400121001322517424182252560010421474.4172.0248.0418.0575.0805.2972.01280.04544.6

  • b

  • abab21

  • abab

  • :b:1000,12.9

  • r = 0.98 b = 0.24

    a = -1.13

    yc = -1.13+0.24xb:, 0.24

  • 1 2 3 4

  • 1P2892P289P291

  • 1 2 3

  • 1

  • = =

  • 2

  • 1 0

  • 1

  • 2

  • 12

  • 13.1%, 221

  • 7.37%,, 142

  • 1 q0p0

  • 2 q1p1

  • 1

  • 2

  • q p q0p0q1p1 k%125100150456418127

  • q p q0p0q1p1 k=p1/p010.9380.833 q1p1/k456418127

  • = = = =

  • qpqp = = =1

  • = 2=

  • :::

  • 4.76%,813.1%,22;7.37%,14:104.76% = 113.1% 92.63%8 = 22 + (-14)

  • x f xf

  • = =

  • 2622.848.86625.291.2602484

  • 119.61% = 108.57% 110.16%59.8(/) = 28.8(/) + 31(/) 19.61%59.88.57%,28.8;,10.16%,31

  • Arithmetic mean5500500650700 650

    5600

  • 5 5006507002215XFXF 1000 1300 700 30005 5600

  • 620020 27004506400-50014003504300-40015002506200-3006001504100-200XFX310F

  • 606575808595100727578808285 88

  • 2015551520852258

  • 2015551520

  • Standard deviation12

  • ::= 11 () (x)(f) 55 10 65 24 75 36 85 22 95 8 100 550156027001870760-19-9111213610194436266235281178030250101400202500158950 722005653007440= 11=

  • 616273492092574012644820001836980768082896438252556245128486401428805120120871415371526123456789X 2 FFX