제1장 데이터의 정리방법
 1.1 통계학이란?....................................................................3
 1.2 모집단과 표본.................................................................5
 1.3 데이터의 종류..................................................................6
 1.4 통계적 측도.....................................................................9
 1.5 도표를 이용한 데이터의 정리도......................................23

제2장 확률
 2.1 표본공간과 사상.................................................................47
 2.2 표본공간의 계산.................................................................52
 2.3 사상의 확률........................................................................56
 2.3 확률법칙..............................................................................60
 2.4 조건부 확률........................................................................62
 2.5 베이즈 정리........................................................................67

제3장 확률변수
 3.1 확률변수...............................................................................81
 3.2 이산형 분포..........................................................................84
 3.3 연속형 분포..........................................................................89
 3.4 확률변수의 기대값과 분산...................................................96

제4장 확률변수의 함수와 결합확률분포
 4.1 확률변수의 함수...................................................................111
 4.2 확률변수의 함수에 대한 기댓값............................................115
 4.3 결합확률분포.........................................................................119

제5장 이산확률분포
 5.1 베르누이 분포........................................................................147
 5.2 이항분포.................................................................................150
 5.3 기하분포.................................................................................158
 5.4 음이항분포..............................................................................167
 5.5 초기하분포..............................................................................171
 5.6 포아송 분포............................................................................174

제6장 연속확률분포
 6.1 연속일양분포..........................................................................191
 6.2 지수분포.................................................................................195
 6 3.감마분포.................................................................................204
 6.4 베타분포..................................................................................210
 6.5 대수정규분포.............................................................................211
 6.6 와이블분포................................................................................212

제7장 정규분포
 7.1 밀도함수..................................................................................223
 7,2 표준정규분포...........................................................................229
 7.3 정규분포 확률계산...................................................................231
 7.4 정규확률변수의 선형결합.........................................................234
 7.5 중심극한정리...........................................................................239
 7.6 이항분포의 정규근사분포.........................................................241
 7.7 대수정규분포...........................................................................244

제8장 표본과 표준분포
 8.1모집단과 표본..........................................................................255
 8.2 통계량 카이제곱분포..............................................................258
 8.3 t 분포.....................................................................................264
 8.4 F 분포....................................................................................267
 8.5 표본평균분포..........................................................................270
 8.6 표본분산분포..........................................................................272

제9장 추청
 9.1 추정의 개념.............................................................................274
 9.2 모평균에 대한 추정.................................................................283
 9.3 모평균 차에 대한 추정............................................................291
 9.4 모비율 및 모비율 차에 대한 추청...........................................297
 9.5 표본크기의 결정......................................................................305
 9.6 모분산 및 모분산 비에 대한 추청...........................................310

제10장 가설검정
 10.1 검정의 개념...........................................................................325
 10.2 모평균에 관한 검정...............................................................335
 10.3 두 집단의 무평균 차에 관한 검정.........................................343
 10.4 모비율 및 모비율 차의 검정..................................................351
 10.5 모분산 및 모분산 비의 검정..................................................355

제11장 회귀분석
 11.1 단순회귀모형...........................................................................367
 11.2 단순회귀분석과 최소제곱추정량..............................................368
 11.3 정규방정식...............................................................................375
 11.4 회귀계수 및 그와 관련된 함수들이 추정과 검정.....................376
 11.5 중회귀모형...............................................................................383
 11.6 모형의 적합성 검정.....................................................................388
 11.7 상관성..........................................................................................390
 11.8 상관계수와 회귀...........................................................................395

제12장 적합도 검정과 비모수적 추론
 12.1 적합도 검정..................................................................................407
 12.2 분할표...........................................................................................410
 12.3 독립성과 동질성의 거정................................................................412
 12.4 부호검정........................................................................................417
 12.5 순위합검정.....................................................................................420
 12.6 우연성 검정...................................................................................426
 12.7 콜모고로프-스미로노프와 앤더슨-달링 검정.................................431