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GCE JUN 2010 : AS, S1: Statistics1 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2010 Matamaitic ag meas n Mod l S1: Staitistic 1 AMS11 Aonad Meas naithe S1 [AMS11] D HAOINE 4 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 logez 5264.04 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 Thaifead an bainisteoir i bpicti rlann l on na ndaoine a bh i l thair ag gach scann n sa phicti rlann thar thr imhse ama. T na tortha in T bla 1 anseo th os. T bla 1 L on na ndaoine 0 50 100 150 200 250 300 Minic ocht 16 38 61 52 33 0 Faigh an me n agus an diall caighde nach do na sonra seo. (i) I nd ileadh D th armach, caithfidh na trialacha a bheith neamhsple ch. Cad a chialla onn s seo? [1] (ii) Luaigh na tosca eile at riachtanach do dh ileadh D th armach. 2 [5] [2] Rinneadh suirbh i mbaile m r irithe agus fuarthas amach go raibh c rta deont ir org in ag 35% de na daoine f sta. Roghna odh seisear daoine f sta go randamach agus fiafra odh d obh an raibh c rta deont ir org in acu. Faigh an d ch lacht: (iii) go raibh c rta deont ir org in ag tri r go beacht; (iv) go raibh c rta deont ir org in ag leathchuid na ndaoine ar a laghad a ceist odh. 3 [2] [5] Tarla onn earr id cl i nuacht n faoi mhe nr ta tairiseach de 2.6 in aghaidh an leathanaigh. Roghna tear leathanach go randamach. Faigh an d ch lacht: (i) go mbeidh dh earr id cl go beacht ar an leathanach; [3] (ii) go mbeidh 3 earr id cl ar a laghad ar an leathanach. [4] (iii) M t 3 earr id cl ar a laghad ar an leathanach, faigh an d ch lacht go mbeidh c ig earr id cl go beacht ann. [4] 5264.04 2 [Turn over 4 Imr tear cluiche le dh dh sle theitrih idreacha neamhchlaonta. T na luachanna 1, 3, 5 agus 7 ar cheann amh in de na d sl . T na luachanna 2, 4, 6 agus 8 ar an d sle eile. Le sc r imreora a fh il, suim tear na luachanna ar an d dh sle le ch ile. Taispe nann F or 1 anseo th os na tortha a d fh adfadh a bheith ann. 1 3 5 7 2 3 5 7 9 4 5 7 9 11 6 7 9 11 13 8 9 11 13 15 F or 1 (i) T g t bla do dh ileadh d ch lachta X, an athr g randamach suim na luachanna ar an d dh sle. [4] Is 9 luach E(X) (ii) n t bla, m nigh cad mar is f idir seo a bhreathn . (iii) R omh luach Var(X). 5 [2] [4] Is leis an chothrom id seo a leanas a thugtar an fheidhm dhl s d ch lachta f(x) d athr g randamach lean nach X f(x) = k(x x3) 0<x<1 (i) Taispe in go bhfuil k = 4 [4] (ii) Faigh P 0 G X G 1 . 2 [3] Is 8 me n an d ilte seo 15 (iii) Faigh Var(X). 5264.04 [5] 3 [Tiontaigh an leathanach 6 D anann meais n leicne in mhiotail lena n- s id i dtrosc n leacphaca. T d ileadh Normalach dar me n 4000 miocr n ar thrastomhas inmhe nach na leicne n. T a fhios go bhfuil trastomhas inmhe nach de 4035 miocr n ar a laghad ag 24.2% de na leicne in. (i) Taispe in gurb 50 miocr n diall caighde nach thrastomhas inmhe nach na leicne n.[5] Leicne in ag a bhfuil trastomhas inmhe nach n os m n 4110 miocr n n n os l n 3888 miocr n, tuigtear nach f idir iad a s id. (ii) Faigh an c atad n de na leicne in nach f idir a s id. 7 [8] (a) Cad a chialla onn gach ceann de na t arma seo a leanas? L irigh do fhreagra le r iteas d ch lachta do dh theagmhas A agus B. (i) Comheisiatach. [2] (ii) Uileghabh lach. [2] (b) Rinneadh suirbh i mbaile m r agus fuarthas amach go n-imr onn 35% de na c naitheoir peil agus go n-imr onn 40% de na c naitheoir iom int. Ina theannta sin, imr onn 61% de na c naitheoir peil n iom int (n an d cheann). Faigh amach an bhfuil na teagmhais imr onn peil agus imr onn iom int neamhsple ch. [4] (c) Mar chuid de sc im le hinni lacht r omhaire a fhorbairt i gcol iste, caithfidh gach mac l inn sa ch ad bhliain dh ghearrch rsa a roghn ar ghn ithe ags la de TFC. Ar dh cheann de na roghanna at ann, t Bunachair Sonra agus Dearadh Gr as in. Tr cheathr de na mic l inn a roghna onn Bunachair Sonra , roghna onn siad Dearadh Gr as in chomh maith. Is 0.36 an d ch lacht go roghna onn mac l inn Bunachair Sonra n Dearadh Gr as in (n an d cheann). Is x an d ch lacht go roghna onn mac l inn Bunachair Sonra . (i) Faigh slonn, i dt arma x, don d ch lacht go roghna onn mac l inn Dearadh Gr as in. (ii) Ag glacadh leis gurb 5:4 c imheas na mac l inn Dearadh Gr as in leis na mic l inn Bunachair Sonra , faigh x. 5264.04 [4] [2] 4 [Turn over

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Additional Info : Gce Mathematics June 2010 Assessment Unit S1 Module S1: Statistics1 (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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