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GCE JUN 2006 : AS, S2: Statistics2 (Irish Medium)

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ADVANCED General Certificate of Education 2006 Matamaitic Aonad Meas naithe S4 ag meas n Mod l S2: Staitistic 2 [AMS41] D LUAIN 19 MEITHEAMH, MAIDIN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na seacht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IR Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. T c ip den leabhr n Foirml agus T bla Matamaitice leis seo. S os tr d an ph ip ar seo is ln z an nodaireacht logartamach a s idtear it a dtuigtear go bhfuil ln z log e z AMS4S6 847.02 Freagair gach ceann de na seacht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 An fhriota ocht de theirmeastar, athra onn s leis an teocht. T cine l nua de theirmeastar th st il tr luachanna na friota ochta a fh il ag teochta difri la. Tugtar na tortha in T bla 1 anseo th os. T bla 1 Teocht ( C), x Friota ocht (Ohms), y 12 15 18 20 22 23 25 28 30 33 90.0 88.1 85.7 84.1 82.0 81.5 80.0 77.8 75.9 73.5 Anseo th os t staitistic achoimre is f idir a bheidh ina gcuidi agat: x = 226 y = 818.6 x2 = 5504 y2 = 67261.06 xy = 18185.5 (i) Faigh cothrom id l ne aisch imnithe na n- oschearn g d fhriota ocht ar theocht. [6] (ii) Agus do chothrom id in s id, d an meastach n ar mhe nfhriota ocht teirmeastar ag 27 C. [2] AMS4S6 847.02 2 [Turn over 2 T taighde ar bun ag Liam ar an bhar il gur moille a bh onn seansti rth ir ceolfhoirne ag sti radh. Chuardaigh s faisn is ar l irithe ags la de chuid Der Ring des Nibelungen le Wagner agus tugtar achoimre ar a thortha in T bla 2 agus t siad l iri in F or 1 anseo th os. T bla 2 Aois (blianta), x 45 Am L irithe (n im) 51 36 64 73 59 46 918 Am l irithe (n im), y 53 932 930 942 935 943 931 922 945 940 935 930 925 920 915 30 40 50 60 70 80 Aois (blianta) F or 1 Is 0.37 an chomh ifeacht chomhghaoil iolrach-m iminte do na sonra seo. (i) Cad a thuigfeadh Liam as an luach seo? [2] Shocraigh Liam go gcaithfeadh s leis an luachph ire (36, 942) mar asluiteach. Anseo th os tugtar na staitistic achoimre do na seacht luachph ire eile. x = 391 y = 6511 x2 = 22457 y2 = 6056567 xy = 364156 (ii) Faigh an chomh ifeacht chomhghaoil iolrach-m iminte do na seacht luachph ire seo. [6] (iii) C n choncl id a d fh adfadh Liam a dh anamh anois? [2] (iv) C n d igh, dar leat, a bhf adfadh Liam an modh fiosr ch in a fheabhs ? [1] AMS4S6 847.02 3 [Tiontaigh an leathanach 3 Rinneadh t st il ar shampla de dhaichead a c ig seacl id don mh id si cra, x gram, a bh iontu. Tugtar na luachanna achoimre anseo th os. x = 571 x2 = 7260 (i) Faigh meastach n neamhchlaonta ar athraitheas mh id an tsi cra sna seacl id seo. (ii) Faigh eatramh muin ne 95% do mhe nmh id an tsi cra sna seacl id seo. [6] (iii) Cad a chialla onn an freagra i gcuid (ii)? 4 [2] [2] T me n 40 agus diall caighde nach 5 ag athr g Normalach, X. Glactar sampla de 40 breathn de X. (i) Cad an d ileadh at ar X, me n an 40 breathn ? (ii) Faigh P(X > 41.5) [5] (iii) Faigh a sa d igh go mbeidh P(|X 40| < a) = 0.7 5 [3] [5] T d ileadh Normalach dar me n 430 gram agus dar diall caighde nach 4 gram ar mhais na bp nair i gcanna st in p nairi. Chomh maith leis sin t d ileadh normalach dar me n 20 gram agus dar diall caighde nach 0.3 gram ar mhais na gcoime d n st in. Faigh an d ch lacht gur m n 909 gram mais ioml n dh cheann de na canna st in p nair . 6 [8] Ar an lip ad de chine l irithe de chaife ma tear gurb 200 gram mais an chaife sa phr ca. Is 198.6 gram an me n agus is 5 gram an diall caighde nach at ag sampla de 80 pr ca de chaife. Bain s id as teist chu lena fh il amach an mb onn n os l n 200 gram i bpr ca den chaife seo. [10] AMS4S6 847.02 4 [Turn over 7 Agus iad ag ullmh do r s 400 m adar bh deich reatha ag traen il ar maidin agus tr thn na. L irithe taifeadadh an t-am a bh acu. Taispe ntar na tortha in T bla 3 anseo th os. T bla 3 Reatha A B C D E F G H I J Am ar maidin (soicind ) 51.4 55.8 53.7 57.6 53.3 52.4 59.4 53.7 52.0 56.6 Am tr thn na (soicind ) 52.1 56.7 53.1 57.5 52.9 51.8 60.0 53.3 51.7 56.1 Bain s id as teist chu lena fh il amach an raibh aon difear ann idir a fheabhas a rinne na reathaithe ar maidin agus a fheabhas a rinne siad tr thn na. [15] SEO DEIREADH AN SCR DPH IP IR AMS4S6 847.02 5

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Additional Info : Gce Mathematics June 2006 Assessment Unit S2 Module S2: Statistics2 (Irish Medium)
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

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