Mathletics Diagnostic Test Year 6 - National Curriculum 4367 ANSWER KEY. Statistics and Probability. Suggested Time: minutes 20 marks

Transcription

1 Mthltis Dignosti Tst Yr 6 - Ntionl Curriulum 4367 NSWER KEY Sttistis n Proility Suggst Tim: minuts 20 mrks Nm: Thr: Dt: ll qustions r worth on mrk. Su-strn n ontnt lortions r s on Vrsion 1.2 CR ustrlin Ntionl Mthmtis Curriulum Yr 6 Mrh 2011

2 CMSP144/145/146 Stion 1 - Chn Wht is th proility of tossing 'hs' on oin? finit B 1 C n't tll 0 1 in 2 Wht is th hn of rolling 2 on six-si i? no wy 0 1/6 C 5/6 D 1 If two outoms r qully likly, thn it is si to hv th proility of: 1/6 B unlikly 0 1/2 D 1 glss jr ontins 7 r, 10 lu, n 4 yllow mrls. If singl mrl is hosn t rnom from th jr, wht is th proility of hoosing r mrl? nswr: 1/3 or quivlnt Somtims th tul outom of n vnt iffrs to wht is xpt. For xmpl, in ustrli, roughly 1 in 4 popl wr orn ovrss. If you took smll smpl of popl, for xmpl, your fmily, it is quit likly tht your numrs r iffrnt to tht. Explin how it is possil for you to osrv outoms tht r iffrnt to th tul proility? nswr: Th xmpl is from survy suh s nsus, whih survys n ntir popultion. If you tk smll smpl from n r tht is vry homognous, lik your fmily or nighourhoo, th rsults r not likly to th sm s th ntir popultion. Thr isrtion. CMSP

3 CMSP147 Stion 2 - Dt Rprsnttion n Intrprttion Us th grph low to nswr th following qustions. Th ov grph is n xmpl of: pi hrt C two-wy tl 0 grph of tgoril vrils D tl of tgoril t From th grph ov, whih g group hs th most 2 room houss? C B 18 to 35 D 26 From th grph ov, whih g group hs th lst housing of ll typs shown? C n't tll 0 18 to 35 D 60+ Wht os th grph ov NOT tll you out thos survy? how mny in h g group C 0 who hs 4+ rooms D th g groups th numr of rooms This t oul lso rprsnt with th ky n inpnnt vrils: singl pi hrt C t n only shown in grph on wy B you n't show it ny othr wy 0 th ky is numr of rooms, th inpnnt vril is g group CMSP147

4 CMSP148 Stion 3 - Dt Rprsnttion n Intrprttion vrtising oftn shows you imgs suh s this: 8 out of 10 womn sw mrk improvmnt in thir wrinkls. Th sttmnt ov "8 out of 10 womn sw mrk improvmnt in thir wrinkls" is potntilly misling. Giv on rson why this might misling. nswr: This sttmnt is not s on linil t, ut on th opinion of th womn who my or my not hv n pi for thir thoughts. Wht g th womn wr is unknown, how long th trtmnt ws for, whthr othr trtmnt ws lso us t. Thr isrtion. Nm on thing you woul n to know to mor onvin th t is tru rprsnttion of popultion smpl? ny sttmnt tht is snsil, suh s th g n numr of womn n whr thy r gogrphilly lot t. Thr isrtion. nswr: Rfr to th grph on th nxt pg to nswr this qustion. nw rkfst rl is out in th mrkt liming tht thir rn is fr mor nutritionlly vn thn th urrnt ling rn. Wht informtion is missing from th grph whih oul mk this grph ppr to show tht th 'NEW' rn is fr ttr thn prvious rkfst rls?

5 Rfr to qustion on prvious pg. no nm ling rn OUR NEW CEREL Thr is no sl on th vrtil xis, so you n't tll wht th iffrn tully is, wht is tully ing ompr is lso not known. Thr isrtion. nswr: Somtims ompnis us sttistilly orrt t, ut mnipult th wy th t is isply to mk th rsults look mor fvourl to thir ompny. Wht is on wy th grph ov my hv n mnipult to mk th t look mor fvourl to 'OUR NEW CEREL'? nswr: Thy oul hng th strth of th vrtil xs to mk it look lik th iffrn is grtr thn it is, or it might rokn xs. Thr isrtion. Thr r two olumns for h of th rns - wht might thy rprsnt? Most likly two iffrnt nutrints or ingrints in h prout g: sugr n protin, or vitmin C or iron. ny xmpl ompring two lmnts WITHIN h prout. Thr isrtion. nswr: CMSP148