solution-manual-elementary-statistics-a-step-by-step-approach-a-brief-version-5th-edition-allan-blum 2024 latest update

EXERCISE SET 2-1 8. H œ 31.5 L œ 7.5 Range œ 31.5  7.5 œ 24 1. Frequency distributions are used to Width œ 24 ƒ 5 œ 4.8 or 5 organize data in a meaningful way, to determine the shape of the distribution, to facilitate computational procedures for statistics, to make it easier to draw charts and graphs, and to make comparisons among different sets of data. Limits 7.5 - 12.4 12.5 - 17.4 17.5 - 22.4 22.5 - 27.4 Boundaries 7.45 - 12.45 12.45 - 17.45 17.45 - 22.45 22.45 - 27.45 f 1 4 10 6 27.5 - 32.4 27.45 - 32.45 2. Categorical distributions are used with nominal or ordinal data, ungrouped distributions are used with data having a short range, and grouped distributions are used when the range of the data is large. 3. a. ""Þ&  ")Þ&ß "#")# œ $!# œ "&ß ")Þ&  ""Þ& œ ( &'(% "$! Less than 7.45 Less than 12.45 Less than 17.45 Less than 22.45 Less than 27.45 Less than 32.45 cf 0 1 5 15 21 25 b. &&Þ&  (%Þ&ß œ œ '&ß # # (%Þ&  &&Þ& œ "* 9. H œ 325 L œ 165 c. '*%Þ&  (!&Þ&ß '*&(!&# œ "%!!# œ (!!ß Range œ 325  165 œ 160 (!&Þ&  '*%Þ& œ "" Width œ 160 ƒ 8 œ 20 round up to 21 d. "$Þ&&  "%Þ(&ß "$Þ'"%Þ(# œ #)Þ$# œ "%Þ"&ß "%Þ(&  "$Þ&& œ "Þ# e. #Þ"%&  $Þ*$&ß #Þ"&$Þ*$# œ 'Þ!)# œ $Þ!%ß $Þ*$&  #Þ"%& œ "Þ(* 4. Five to twenty classes. Width should be an odd number so that the midpoint will have the same place value as the data. 5. a. Class width is not uniform. b. Class limits overlap, and class width is Limits 165 - 185 186 - 206 207 - 227 228 - 248 249 - 269 270 - 290 291 - 311 312 - 332 Boundaries 164.5 - 185.5 185.5 - 206.5 206.5 - 227.5 227.5 - 248.5 248.5 - 269.5 269.5 - 290.5 290.5 - 311.5 311.5 - 332.5 f 4 6 15 13 9 1 1 1 50 not uniform. A peak occurs in class 207 - 227. There are c. A class has been omitted. no empty classes. Each of the three highest d. Class width is not uniform. classes has one data value. 6. An open-ended frequency distribution haseither a first class with no lower limit or a last class with no upper limit. They are necessary to accomodate all the data. 7. Class Tally f Percent A 4 10% Less than 164.5 Less than 185.5 Less than 206.5 Less than 227.5 Less than 248.5 Less than 269.5 cf 0 4 10 25 38 47 H S 6 2 40 15% 5% 100% Less than 311.5 49 Less than 332.5 50 10. H œ 110 L œ 54 Range œ 110  54 œ 56 Width œ 56 ƒ 7 œ 8 round up to 9 Less than 290.5 48 M28 70% 3 10. continued Limits Boundaries f 54 - 62 53.5 - 62.5 7 63 - 71 62.5 - 71.5 6 72 - 80 71.5 - 80.5 8 81 - 89 80.5 - 89.5 4 90 - 98 89.5 - 98.5 1 99 - 107 98.5 - 107.5 3 108 - 116 107.5 - 116.5 cf Less than 53.5 0 Less than 62.5 7 Less than 71.5 13 Less than 80.5 21 Less than 89.5 25 Less than 98.5 26 Less than 107.5 29 Less than 116.5 30 11. H œ 780 L œ 746 Range œ 780  746 œ 34 Width œ 34 ƒ 5 œ 6.8 round up to 7 Limits Boundaries f 746 - 752 745.5 - 752.5 4 753 - 759 752.5 - 759.5 6 760 - 766 759.5 - 766.5 8 767 - 773 766.5 - 773.5 9 774 - 780 773.5 - 780.5 cf Less than 745.5 0 Less than 752.5 4 Less than 759.5 10 Less than 766.5 18 Less than 773.5 27 Less than 780.5 30 12. H œ 91,570 L œ 5427 Range œ 91,570  5427 œ 86,143 Width œ 86,143 ƒ 7 œ 12,306.1 Round up to 12,307 12. continued Limits Boundaries f 5427 - 17,733 5426.5 - 17,733.5 17 17,734 - 30,040 17,733.5 - 30,040.5 1 30,041 - 42,347 30,040.5 - 42,347.5 1 42,348 - 54,654 42,347.5 - 54,654.5 1 54,655 - 66,961 54,654.5 - 66,961.5 1 66,962 - 79,268 66,961.5 - 79,268.5 1 79,269 - 91,575 79,268.5 - 91,575.5 3 25 The majority of the data values are in the lowest class. There are no empty classes in the distribution. cf Less than 5426.5 0 Less than 17,733.5 17 Less than 30,040.5 18 Less than 42,347.5 19 Less than 54,654.5 20 Less than 66,961.5 21 Less than 79,268.5 22 Less than 91,575.5 25 13. H œ 70 L œ 27 Range œ 70  27 œ 43 Width œ 43 ƒ 7 œ 6.1 or 7 Limits Boundaries f 27 - 33 26.5 - 33.5 7 34 - 40 33.5 - 40.5 14 41 - 47 40.5 - 47.5 15 48 - 54 47.5 - 54.5 11 5