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WKHPHDQEDODQFH JLYLQJDOODQVZHUVFRUUHFWWRWKHQHDUHVWFHQW ³([HFXWLYH &DEV´ 7D[L 6HUYLFH PDLQWDLQV PLOHDJH UHFRUGV RQ DOO RI LWV YHKLFOHV 7KHPRQWKO\PLOHDJHUHFRUGVIRULWVFDUVDUH &RPSDUHWKHPHGLDQPLOHVDQGWKHPHDQIRUWKHVHFDUVDQGH[SODLQZKLFKRQH RIWKHVHPHDVXUHVRIWKHFHQWUDOWHQGHQF\LVEHWWHUWRXVHIRUDQDO\VLV &DOFXODWH a WKHPHGLDQ b WKHPHDQ IRUWKHIROORZLQJIUHTXHQF\GLVWULEXWLRQ c :KLFK RI a DQG b ZRXOG \RX FRQVLGHU D EHWWHU PHDVXUH RI FHQWUDO WHQGHQF\"([SODLQ &ODVV )UHTXHQF\ ± ± ± ± ± ,QVXUDQFH FODLPV IRU DXWRPRELOH DFFLGHQWV IROORZ WKH GLVWULEXWLRQ JLYHQ EHORZ 'HWHUPLQHWKHPHGLDQDQGWKHPHDQ $PRXQWRIFODLP )UHTXHQF\ /HVVWKDQ ± ± ± DQGPRUH Answers Chapter 2 1. (a) 41.6, 35, 35, mean is high due to one large observation (b) 11.6, 12, 12, little to choose between them (c) 14.1, 14, 14, little to choose between them 2. Medians – A (13), B (15) the mean is distorted by extreme values 3. (a) 1.55, 1.04 (b) 45.6, 45.8 (c) 3.79, 3 4. 22.3 years 5. yes - mean age = 8.6 months 6. (a) Age 40 - 49 50 - 59 60 - 69 70 - 79 80 – 89 Frequency 4 4 3 2 7 (b) 67 (c) 66.75 (d) some accuracy lost in grouping 7. (a) 322.33 (b) 326.93 8. (a) 31.19 (2 d.p.) 9. (b) (a) $118.93 31 (b) $126.60 (c) $142.25 10. Median = 722.5 miles mean = 709.1 mile Both measures are equally - difference between them may be considered small 11. (a) 60.83 12. Median = $877.67 (b) 60.89 each equally good mean = $853.61
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