最新2016年电大《统计学原理》专科期末重点复习题及参考答案_第1页
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电大统计学原理期末重点复习题及参考答案一、单选题1对某城市工业企业未安装设备进行普查,总体单位是B。A工业企业全部未安装设备B工业企业每一台未安装设备C每个工业企业的未安装设备D每一个工业企业2标志是说明总体单位特征的名称(A)。A它分为品质标志和数量标志两类B品质标志具标志值C数量指标具有标志值D品质标志和数量标志都具有标志值3某市工业企业2003年生产经营成果年报呈报时间规定在2004年1月31日,则调查期限为(B)A1日B1个月C1年D1年零1个月4全社会零售商品总额属于(B)。A数量标志B数量指标C品质标志D质量指标5工业企业的设备台数、产品产值是(D)。A连续变量B离散变量C前者是连续变量,后者是离散变量D前者是离散变量,后者是连续变量6下列调查中,调查单位与填报单位一致的是(D)。A企业设备调查B人口普查C农村耕地调查D工业企业现状调查7对一批商品进行质量检验,最适宜采用的方法是(B)。A全面调查B抽样调查C典型调查D重点调查8统计调查是进行资料整理和分析的A。A基础环节B中间环节C最终环节D必要补充9抽样调查与重点调查的主要区别是(D)。A作用不同B组织方式不同C灵活程度不同D选取调查单位的方法不同10下列调查属于不连续调查的是(A)。A每月统计商品库存额B每旬统计产品道题C每月统计商品销售额D每季统计进出口贸易额11全面调查与非全面调查的划分是以(C)。A时间是否连续来划分的B最后取得的资料是否全面来划分的C调查对象所包括的单位是否完全来划分的D调查组织规模的大小来划分的12下列分组中哪个是按品质标志分组(B)。A企业按年生产能力分组B产品按品种分组C家庭按年收入水平分组D人口按年龄分组13简单分组和复合分组的区别在于(B)。A选择的分组标志性质不同B选择的分组标志多少不同C组数的多少不同D组距的大小不同14在组距分组时,对于连续型变量,相邻两组的组限A。A必须是重叠的B必须是间断的C可以是重叠的,也可以是间断的D必须取整数15有一个学生考试成绩为70分,在统计分组中,这个变量值应归入B。A6070分这一组B7080分这一组C6070或7080两组都可以D作为上限的那一组16由反映总体各单位数量特征的标志值汇总得出的指标是B。A总体单位总量B总体标志总量C质量指标D相对指标17反映社会经济现象发展总规模、总水平的综合指标是B。A质量指标B总量指标C相对指标D平均指标18反映不同总体中同类指标对比的相对指标是B。A结构相对指标B比较相对指标C强度相对指标D计划完成程度相对指标19在什么条件下,简单算术平均数和加权算术平均数计算结果相同B。A权数不等B权数相等C变量值相同D变量值不同20权数对算术平均数的影响作用,实质上取决于A。A作为权数的各组单位数占总体单位数比重的大小B各组标志值占总体标志总量比重的大小C标志值本身的大小D标志值数量的多少21计算结构相对时,总体各部分数值与总体数值对比求得的比重之和(C)。A小于100B大于100C等于100D小于或大于10022相对指标数值的表现形式有(D)。A无名数B实物单位与货币单位C有名数D无名数或有名数23下列相对指标中,属于不同时期对比的指标有(B)。A结构相对指标B动态相对指标C比较相对指标D强度相对指标24按照计划,今年产量比上年增加30,实际比计划少完成10,同上年比今年产量实际增长程度为(D)。A75B40C13D1725某厂2003年完成产值2000万元,2004年计划增长10,实际完成2310万元,超额完成计划(B)。A55B5C1155D15526甲、乙两数列的平均数分别为100和145,它们的标准差为128和37,则A。A甲数列平均数的代表性高于乙数列B乙数列平均数的代表性高于甲数列C两数列平均数的代表性相同D两数列平均数的代表性无法比较27对某种连续生产的产品进行质量检验,要求每隔一小时抽出10分钟的产品进行检验,这种抽查方式是(C)。A简单随机抽样B类型抽样C等距抽样D整群抽样28抽样平均误差是A。A抽样指标的标准差B总体参数的标准差C样本变量的函数D总体变量的函数29对甲乙两个工厂工人平均工资进行纯随机不重复抽样调查,调查的工人数一样,两工厂工资方差相同,但甲厂工人总数比乙厂工人总数多一倍,则抽样平均误差(A)A甲厂比乙厂大B乙厂比甲厂大C两个工厂一样大D无法确定30在简单随机重复条件下,当抽样平均误差缩小为原来的1/2时,则样本单位数为原来的(C)。A2倍B3倍C4倍D1/4倍31反映抽样指标与总体指标之间的平均误差程度的指标是(C)。A平均数离差B概率度C抽样平均误差D抽样极限误差32在一定的抽样平均误差条件下(A)。A扩大极限误差范围,可以提高推断的可靠程度B扩大极限误差范围,会降低推断的可靠程度C缩小极限误差范围,可以提高推断的可靠程度D缩小极限误差范围,不改变推断的可靠程度33反映抽样指标与总体指标之间抽样误差可能范围的指标是(B)。A抽样平均误差B抽样极限误差C抽样误差系数D概率度。34按随机原则直接从总体N个单位中抽取N个单位作为样本,这种抽样组织形式(A)A简单随机抽样B类型抽样C等距抽样D整群抽样35统计指数按指数化指标的性质不同,可分为B。A总指数和个体指数B数量指标指数和质量指标指数C平均数指数和平均指标指数D综合指数和平均数指36编制总指数的两种形式是(B)。A数量指标指数和质量指标指数B综合指数和平均数指数C算术平均数指数和调和平均数指数D定基指数和环比指数37销售价格综合指数表示CA综合反映多种商品销售量变动程度B综合反映多种商品销售额变动程度C报告期销售的商品,其价格综合变动的程度D基期销售的商品,其价格综合变动程度38在销售量综合指数中,表示A01PQ0A价格不变的情况下,销售量变动引起销售额变动的绝对额B商品价格变动引起销售额变动的绝对额C价格不变的情况下,销售量变动的绝对额D销售量和价格变动引起销售额变动的绝对额39加权算术平均数指数变形为综合指数时,其特定的权数是(D)。AQ1P1BQ0P1CQ1P0DQ0P040加权调和平均数指数变形为综合指数时,其特定的权数是(A)。AQ1P1BQ0P1CQ1P0DQ0P041某企业的职工工资水平比上年提高5,职工人数增加2,则企业工资总额增长(B)。A10B71C7D1142根据时期数列计算序时平均数应采用(C)A几何平均法B加权算术平均法C简单算术平均法D首末折半法43数列中各项数值可以直接相加的时间数列是(B)。A时点数列B时期数列C平均指标动态数列D相对指标动态数列44间隔相等的时点数列计算序时平均数应采用(D)几何平均法B加权算术平均法C简单算术平均法D首末折半法45已知某企业1月、2月、3月、4月的平均职工人数分别为190人、195人、193人和201人。则该企业一季度的平均职工人数的计算方法为(B)。A(190195193201)/4B(190195193)/3C(190/2195193201/2)/41D(190/2195193201/2)/446下列数列中哪一个属于动态数列(D)。A学生按学习成绩分组形成的数列B工业企业按地区分组形成的数列C职工按工资水平高低排列形成的数列D出口额按时间先后顺序排列形成的数47已知各期环比增长速度为2、5、8和7,则相应的定基增长速度的计算方法为A。A102105108107100B102105108107C2587D258710048说明现象在较长时间内发展的总速度指标是(D)。A发展速度B增长速度C环比发展速度D定基发展速49如果变量X和变量Y之间的相关系数为1,说明两变量之间存在C。A微弱相关关系B显著相关关系C完全相关关系D没有相关关系50相关系数的取值范围是C。A0R1B10267故甲组工人的平均日产量更有代表性。4某工厂有1500个工人,用简单随机重复抽样的方法抽出50个工人作为样本,调查其月平均产量水平,得每人平均产量560件,标准差3245要求(1)计算抽样平均误差(重复与不重复);(2)以95的概率(Z196)估计该厂工人的月平均产量的区间;(3)以同样的概率估计该厂工人总产量的区间。(1)重复抽样594032NX不重复抽样10122NX(2)抽样极限误差1964599件XZ月平均产量的区间下限5609551件上限5609569件X(3)总产量的区间(5511500826500件;5691500853500件)5采用简单随机重复抽样的方法,在2000件产品中抽查200件,其中合格品190件要求(1)计算合格品率及其抽样平均误差(2)以9545的概率保证程度(Z2)对合格品率和合格品数量进行区间估计。(3)如果极限误差为231,则其概率保证程度是多少解1样本合格率PN1N19020095抽样平均误差154NPP12抽样极限误差PZP2154308下限P953089192X上限P953089808则总体合格品率区间(91929808)总体合格品数量区间(919220001838件980820001962件)3当极限误差为231时,则概率保证程度为8664Z6某企业上半年产品产量与单位成本资料如下月份产量(千件)单位成本(元)123456234345737271736968要求()计算相关系数,说明两个变量相关的密切程度。()配合回归方程,指出产量每增加1000件时,单位成本平均变动多少()假定产量为6000件时,单位成本为多少元()计算相关系数2222YNXNY901463086179422说明产量和单位成本之间存在高度负相关。0()配合回归方程18222XNYB1827737YA641回归方程为产量每增加1000件时,单位成本平均减少元()当产量为件时,即,代入回归方程(元)7根据企业产品销售额万元和销售利润率资料计算出如下数据N7189031125355002174159318XYXYXY要求1确定以利润率为因变量的直线回归方程2解释式中回归系数的经济含义3当销售额为500万元时,利润率为多少(1)配合直线回归方程B00365221XNY2189075339A541XNBYXY118907036517则回归直线方程为YC54100365X(2)回归系数B的经济意义当销售额每增加一万元,销售利润率增加00365(3)计算预测值当X500万元时YC54100365128508某商店两种商品的销售资料如下销售量单价(元)商品单位基期计算期基期计算期甲乙件公斤50150601608121014要求(1)计算两种商品销售额指数及销售额变动的绝对额;(2)计算两种商品销售量总指数及由于销售量变动影响销售额的绝对额;(3)计算两种商品销售价格总指数及由于价格变动影响销售额的绝对额。(1)商品销售额指数0912841502860QP1销售额变动的绝对额元QP(2)两种商品销售量总指数0912420601销售量变动影响销售额的绝对额元QP(3)商品销售价格总指数1价格变动影响销售额的绝对额元QP9某商店两种商品的销售额和销售价格的变化情况如下销售额(万元)商品单位1995年1996年1996年比1995年销售价格提高()甲乙米件12040130361012要求1计算两种商品销售价格总指数和由于价格变动对销售额的影响绝对额。2计算销售量总指数,计算由于销售量变动,销售额的影响绝对额。(1)商品销售价格总指数43105612301QPK由于价格变动对销售额的影响绝对额万元675320611QPK(2)计算销售量总指数商品销售额总指数103751600QP销售额总变动1661606万元商品销售量总指数109531047销售量变动销售额的影响绝对额15676967万元10某地区1984年平均人口数为150万人,1995年人口变动情况如下月份1369次年1月月初人数102185190192184计算(1)1995年平均人口数(2)19841995年该地区人口的平均增长速度(1)1995年平均人口数FFAAFANN11231218121万人1242/89/90/901852/850(2)19841995年该地区人口的平均增长速度7415010NAX11某地区19951999年粮食产量资料如下年份1995年1996年1997年1998年1999年粮食产量(万斤)434472516584618要求(1)计算各年的逐期增长量、累积增长量、环比发展速度、定基发展速度;(2)计算1995年1999年该地区粮食产量的年平均增长量和粮食产量的年平均发展速度;(3)如果从1999年以后该地区的粮食产量按8的增长速度发展,2005年该地区的粮食产量将达到什么水平解年份1995年1996年1997年1998年1999年粮食产量(万斤)环比发展速度定基发展速度逐期增长量累积增长量4344721087610876383851610932118894482584113181345668150618105821424034184平均增长量(万斤)(万斤)461580NA463843逐期增长量个数逐期增长量之和平均增长量(2)平均发展速度2409340NAX(3)98069(万斤)6081NABASKETBALLCANMAKEATRUECLAIMTOBEINGTHEONLYMAJORSPORTTHATISANAMERICANINVENTIONFROMHIGHSCHOOLTOTHEPROFESSIONALLEVEL,BASKETBALLATTRACTSALARGEFOLLOWINGFORLIVEGAMESASWELLASTELEVISIONCOVERAGEOFEVENTSLIKETHENATIONALCOLLEGIATEATHLETICASSOCIATIONNCAAANNUALTOURNAMENTANDTHENATIONALBASKETBALLASSOCIATIONNBAANDWOMENSNATIONALBASKETBALLASSOCIATIONWNBAPLAYOFFSANDITHASALSOMADEAMERICANHEROESOUTOFITSPLAYERANDCOACHLEGENDSLIKEMICHAELJORDAN,LARRYBIRD,EARVIN“MAGIC“JOHNSON,SHERYLSWOOPES,ANDOTHERGREATPLAYERSATTHEHEARTOFTHEGAMEISTHEPLAYINGSPACEANDTHEEQUIPMENTTHESPACEISARECTANGULAR,INDOORCOURTTHEPRINCIPALPIECESOFEQUIPMENTARETHETWOELEVATEDBASKETS,ONEATEACHENDINTHELONGDIRECTIONOFTHECOURT,ANDTHEBASKETBALLITSELFTHEBALLISSPHERICALINSHAPEANDISINFLATEDBASKETBALLSRANGEINSIZEFROM28530IN7276CMINCIRCUMFERENCE,ANDINWEIGHTFROM1822OZ510624GFORPLAYERSBELOWTHEHIGHSCHOOLLEVEL,ASMALLERBALLISUSED,BUTTHEBALLINMENSGAMESMEASURES29530IN7576CMINCIRCUMFERENCE,ANDAWOMENSBALLIS28529IN7274CMINCIRCUMFERENCETHECOVERINGOFTHEBALLISLEATHER,RUBBER,COMPOSITION,ORSYNTHETIC,ALTHOUGHLEATHERCOVERSONLYAREDICTATEDBYRULESFORCOLLEGEPLAY,UNLESSTHETEAMSAGREEOTHERWISEORANGEISTHEREGULATIONCOLORATALLLEVELSOFPLAY,THEHOMETEAMPROVIDESTHEBALLINFLATIONOFTHEBALLISBASEDONTHEHEIGHTOFTHEBALLSBOUNCEINSIDETHECOVERINGORCASING,ARUBBERBLADDERHOLDSAIRTHEBALLMUSTBEINFLATEDTOAPRESSURESUFFICIENTTOMAKEITREBOUNDTOAHEIGHTMEASUREDTOTHETOPOFTHEBALLOF4954IN1214MWHENITISDROPPEDONASOLIDWOODENFLOORFROMASTARTINGHEIGHTOF6FT180MMEASUREDFROMTHEBOTTOMOFTHEBALLTHEFACTORYMUSTTESTTHEBALLS,ANDTHEAIRPRESSURETHATMAKESTHEBALLLEGALINKEEPINGWITHTHEBOUNCETESTISSTAMPEDONTHEBALLDURINGTHEINTENSITYOFHIGHSCHOOLANDCOLLEGETOURNEYSANDTHEPROFESSIONALPLAYOFFS,THISINFLATEDSPHERECOMMANDSCONSIDERABLEATTENTIONBASKETBALLISONEOFFEWSPORTSWITHAKNOWNDATEOFBIRTHONDECEMBER1,1891,INSPRINGFIELD,MASSACHUSETTS,JAMESNAISMITHHUNGTWOHALFBUSHELPEACHBASKETSATTHEOPPOSITEENDSOFAGYMNASIUMANDOUTLINED13RULESBASEDONFIVEPRINCIPLESTOHISSTUDENTSATTHEINTERNATIONALTRAININGSCHOOLOFTHEYOUNGMENSCHRISTIANASSOCIATIONYMCA,WHICHLATERBECAMESPRINGFIELDCOLLEGENAISMITH18611939WASAPHYSICALEDUCATIONTEACHERWHOWASSEEKINGATEAMSPORTWITHLIMITEDPHYSICALCONTACTBUTALOTOFRUNNING,JUMPING,SHOOTING,ANDTHEHANDEYECOORDINATIONREQUIREDINHANDLINGABALLTHEPEACHBASKETSHEHUNGASGOALSGAVETHESPORTTHENAMEOFBASKETBALLHISSTUDENTSWEREEXCITEDABOUTTHEGAME,ANDCHRISTMASVACATIONGAVETHEMTHECHANCETOTELLTHEIRFRIENDSANDPEOPLEATTHEIRLOCALYMCASABOUTTHEGAMETHEASSOCIATIONLEADERSWROTETONAISMITHASKINGFORCOPIESOFTHERULES,ANDTHEYWEREPUBLISHEDINTHETRIANGLE,THESCHOOLNEWSPAPER,ONJANUARY15,1892NAISMITHSFIVEBASICPRINCIPLESCENTERONTHEBALL,WHICHWASDESCRIBEDAS“LARGE,LIGHT,ANDHANDLEDWITHTHEHANDS“PLAYERSCOULDNOTMOVETHEBALLBYRUNNINGALONE,ANDNONEOFTHEPLAYERSWASRESTRICTEDAGAINSTHANDLINGTHEBALLTHEPLAYINGAREAWASALSOOPENTOALLPLAYERS,BUTTHEREWASTOBENOPHYSICALCONTACTBETWEENPLAYERSTHEBALLWASTHEOBJECTIVETOSCORE,THEBALLHADTOBESHOTTHROUGHAHORIZONTAL,ELEVATEDGOALTHETEAMWITHTHEMOSTPOINTSATTHEENDOFANALLOTTEDTIMEPERIODWINSEARLYINTHEHISTORYOFBASKETBALL,THELOCALYMCASPROVIDEDTHEGYMNASIUMS,ANDMEMBERSHIPINTHEORGANIZATIONGREWRAPIDLYTHESIZEOFTHELOCALGYMDICTATEDTHENUMBEROFPLAYERSSMALLERGYMSUSEDFIVEPLAYERSONASIDE,ANDTHELARGERGYMSALLOWEDSEVENTONINETHETEAMSIZEBECAMEGENERALLYESTABLISHEDASFIVEIN1895,AND,IN1897,THISWASMADEFORMALINTHERULESTHEYMCALOSTINTERESTINSUPPORTINGTHEGAMEBECAUSE1020BASKETBALLPLAYERSMONOPOLIZEDAGYMNASIUMPREVIOUSLYUSEDBYMANYMOREINAVARIETYOFACTIVITIESYMCAMEMBERSHIPDROPPED,ANDBASKETBALLENTHUSIASTSPLAYEDINLOCALHALLSTHISLEDTOTHEBUILDINGOFBASKETBALLGYMNASIUMSATSCHOOLSANDCOLLEGESANDALSOTOTHEFORMATIONOFPROFESSIONALLEAGUESALTHOUGHBASKETBALLWASBORNINTHEUNITEDSTATES,FIVEOFNAISMITHSORIGINALPLAYERSWERECANADIANS,ANDTHEGAMESPREADTOCANADAIMMEDIATELYITWASPLAYEDINFRANCEBY1893ENGLANDIN1894AUSTRALIA,CHINA,ANDINDIABETWEEN1895AND1900ANDJAPANIN1900FROM1891THROUGH1893,ASOCCERBALLWASUSEDTOPLAYBASKETBALLTHEFIRSTBASKETBALLWASMANUFACTUREDIN1894ITWAS32IN81CMINCIRCUMFERENCE,ORABOUT4IN10CMLARGERTHANASOCCERBALLTHEDEDICATEDBASKETBALLWASMADEOFLACEDLEATHERANDWEIGHEDLESSTHAN20OZ567GTHEFIRSTMOLDEDBALLTHATELIMINATEDTHENEEDFORLACESWASINTRODUCEDIN1948ITSCONSTRUCTIONANDSIZEOF30IN76CMWERERULEDOFFICIALIN1949THERULESETTERSCAMEFROMSEVERALGROUPSEARLYINTHE1900SCOLLEGESANDUNIVERSITIESESTABLISHEDTHEIRRULESCOMMITTEESIN1905,THEYMCAANDTHEAMATEURATHLETICUNIONAAUCREATEDASETOFRULESJOINTLY,STATEMILITIAGROUPSABIDEDBYASHAREDSETOFRULES,ANDTHEREWERETWOPROFESSIONALSETSOFRULESAJOINTRULESCOMMITTEEFORCOLLEGES,THEAAU,ANDTHEYMCAWASCREATEDIN1915,AND,UNDERTHENAMETHENATIONALBASKETBALLCOMMITTEENBCMADERULESFORAMATEURPLAYUNTIL1979INTHATYEAR,THENATIONALFEDERATIONOFSTATEHIGHSCHOOLASSOCI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