HANDOUT - Stats Intro + Learning Objectives

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  • 8/7/2019 HANDOUT - Stats Intro + Learning Objectives

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    MATH 4 Statistics

    Torture numbers and they'll confess to anything. ~Gregg Easterbrook

    The study of statistics blends the rigor, calculationsand deductive thinking of mathematics, the real-worldexamples and problems of the social sciences , thedecision-making needs of business and medicine and the

    laboratory method and experimental procedures of thenatural sciences .- The College Board, Advanced Placement Program,

    Teachers Guide APStatistics

    S tatistics can be made to prove anything - even the truth. ~AuthorUnknown

    Among leaders of industry, business, government andeducation, almost everyone agrees that some knowledge ofstatistics is necessary to be an informed citizen or aproductive worker. Numbers are regularly used and misusedto justify opinions on public policy. Quantitativeinformation is the basis for decision-making in virtuallyevery job within business and industry. Many academicprograms at the college level include statistics a s arequirement.- The College Board, Advanced Placement Program, Teachers

    Guide AP Statistics

    While the individual man is an insoluble puzzle, in the aggregate hebecomes a mathematical certainty. You can, for example, never foretellwhat any one man will be up to, but you can say with precision what anaverage number will be up to. Individuals vary, but percentages remainconstant. So says the statistician. ~Arthur Conan Doyle

    The death of one man is a tragedy. The death of millions is a statistic. ~Joe Stalin, comment to Churchill at Potsdam, 1945

    She may look at it because it has picturesThis is what Florence Nightingale said about a book of statistics that she hadsent to Queen Victoria

    Educ ation is what s urv i ves wh en what has b een l ea r n ed has b een fo rg ott en.B. F. Skinn er

    In ten years time you might have forgotten, for example, how the standard deviation of a set of data is calculated,but in everything you study at school there is some important understanding that can endure .please keep thefollowing essential questions in mind and think about them as you work through this unit.Essen t i al Qu es t ions

    How d oes s tat is t i cs imp act posi t ive ly on o ur l ives? I s i t impo rta n t t o b e s tat is ti cally l i t e rat e?

    The re ar e thr ee k in d s of lies: lies, da mne d l ies a n d s tat is t i cs (B enj a min Dis ra e li, 1804-1881 , Br i t is hPr ime Minis t e r). Th is is a ve ry fa mo u s a n d c on tr ove rsi al qu o t e . Why ca n h e s ay th is?

    I f yo u re no t s tat is t i cally-l i t e rat e, yo u re vul ne rabl e t o m a nip ulat ion by g ove rnmen t s, co rpo rat ions a n dth e me d i a. H ow co uld y o u d efen d o r oppose th is s tat emen t ?

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    Learn ing Ou t es for t

    is Un it his is wha t youre expec ted to know, unders tand and be ab le to do by the end of this un it. hink abou t wha t youve a lreadylearned and tick boxes in the conf idence log be low to he lp you judge wha t you need to focus on in this un it (maybe every thing,thats ok) .

    Learn ing outcom e Ver y conf i en t C onf i en t b ut need to rev iew it

    Not conf iden t

    E xplains the concep ts of popu lation andsamp leIden tif ies d iscre te and con tinuous

    var iablesInterpre ts frequency tables (groupedand ungrouped)Cons truc ts frequency tables (groupedand ungrouped)Uses the terms m id- interva l value,class/ interva l width, upper and lower class/ interva l boundar iesInterpre ts frequency h istograms

    Cons truc ts frequency h istograms

    Interpre ts s tem and leaf d iagrams

    Cons truc ts stem and leaf d iagrams

    Interpre ts cumu lative frequency graphs

    Uses the terms quar tiles and percen tilesto descr ibe the d istr ibution of a da ta se t Uses a cumu lative frequency graph tof ind quar tiles, percen tiles and med ianFinds and interpre ts these measures of cen tral tendency: mean, med ian andmode (from a raw da ta se t, a grouped or ungrouped frequency table or histogram)

    Finds and interpre ts these measures of dispers ion: range, interquar tile range,var iance and s tandard dev iation (from araw da ta se t, a table or cumu lativefrequency curve)Interpre ts box and wh isker p lots

    Cons truc ts box and wh isker p lots

    Knows and app lies the re lationsh ipbetween the samp le mean and thepopu lation meanCons truc ts and interpre ts sca tter diagramsDraws line of bes t f it by eye and uses it to make pred ictionsE xplains and uses the concep t of corre lationInterpre ts pos itive, nega tive and zerocorre lationsE xplains the effec ts of ou tliers on r andthe regress ion lineUses the I83 ca lculator to produce thestatistical diagrams and measuresmen tioned above