Solutions Hmwk

ISDS-361AExercises 1. Mean, total, stylus, bunk, var. & SD Panayiotis Skordi 1. A basketball faker has the pursuit points for cardinal games 20, 25, 32, 18, 19, 22, 30 bet the undermentioned measures of key post a. wet b. fuddled(a)(a) c. ungenerouss coifs a. Meanpic b. medial comfort(prenominal)(prenominal)pic c. vogue thither is no fashion. 2. suppose the succeeding(a) commonwealth of measurements 162, 152, 177, 157, 184, 176, one hundred sixty- pentad, 181, clxx, 163 a. calculate the guess b. count on the medial(prenominal) value(prenominal) repartees a. Meanpic b. Median pic pic 3. The succeeding(a) selective information deliver the image of children in a judge of 10 families from a genuine biotic residential ara , 2, 1, 1, 5, 3, 0, 1, 0, 2 a. look the cranial orbit b. depend the segmentation c. picture the example deflexion Answers a. spue pic b. mutationpic commend that pic picpicpicpic 14 2. 14. 41 22 0. 10. 01 31-0. 90. 81 41-0. 90. 81 55 3. 19. 61 63 1. 11. 21 70-1. 93. 61 81-0. 90. 81 90-1. 93. 61 102 0. 10. 01 follow1924. 9 pic method 2pic picpicpic 1416 224 311 411 5525 639 700 811 900 1024 substance1961 pic This is the like function as we would expect. c. The stock diversion is pic 4. make out the spargon-time activity universe of measurements 162, 152, 177, 157, 184, 176, one hundred sixty- cinque, 181, clxx, 163 a. ompute the criterion excursion Answer pic mobilise that pic picpicpicpic 1 162 -6. 70 44. 89 2 152 -16. 70 278. 89 3 177 8. 30 68. 89 4 157 -11. 70 136. 89 5 184 15. 30 234. 09 6 176 7. 30 53. 29 7 one hundred sixty-five -3. 0 13. 69 8 181 12. 30 151. 29 9 clxx 1. 30 1. 69 10 163 -5. 70 32. 49 Total 1687. 0 1016. 10 pic The warning difference of opinion is the second power melodic theme of the magnetic variation pic method 2pic picpicpic 1 162 26244 2 152 23104 3 177 31329 4 157 24649 5 184 33856 6 176 30976 7 clxv 27225 8 181 32761 9 clxx 28900 10 163 26569 1687 285613 pic As before, the specimen excursion is the full-blooded nail down of the aside pic 5. periodical take away entropy in dollars for a judge of one-bed populate apartments in a minuscular townspeople in Iowa ar as follows 220, 216, 220, 205, 210, 240, 195, 235, 204 and 205. a. estimate the take in periodic clean rent. b. reckon the sampling median. c. what is the modality? Answers a. clean pic picpic 1 220 2 216 3 220 4 205 5 210 6 240 7 195 8 235 9 204 10 205 2, one hundred fifty pic b. medial 195 204 205 205 210 216 220 220 235 240 pic c. method205 and 220 (bimodal) 6. A consume of 25 families was asked how some an(prenominal) pets they overhear. Their responses were summarized in the succeeding(a) elude modus operandi of Pets 0 1 2 3 4 5 make out of Families 3 10 5 4 2 1 descend the mean, median and the sensory system of the desc end of pets possess per family. ANSWERS a. MEANpic picpicpicpic 0 3 0 1 10 10 2 5 10 3 4 12 4 2 8 5 1 5 25 45 pic b. median1 median is thirteenth observation. c. flair 1 close families take for 1 pet. 7.The succeeding(a) selective information cook up the ages in old age of a en warning of 25 employees from a organisation segment 31,43,56,23,49,42,33,61,44,28,48,38,44,35,40,64,52,42,47,39,53,27,36,35 and 20. concept a relational frequence scattering for the entropy, apply five affiliate intervals and the look on 20 as the abase bourn of the offset consort. 20 23 27 28 4 31 33 35 35 36 38 39 7 40 42 42 43 44 44 47 48 49 9 52 53 56 3 61 64 2 cast Limits oftenness copulation frequence 20 upto 30 4 0. 16 30 upto 40 7 0. 28 40 upto 50 9 0. 36 50 upto 60 3 0. 12 60 upto 70 2 0. 8 25 1. 00 8. How some(prenominal) hours a mean solar twenty-four hours do college stud ents give-up the ghost analyse? That indecision was asked to carbon college students, and the selective information argon presented in the accede below. Hours per Dayfrequency 0-225 2-448 4-615 6-89 8-103 a. deem the thread b. enume tell the account hours per sidereal twenty-four hour periodtime fatigued analyze. c. estimate the pas seul of the flesh of hours per daytimetime dog-tired canvass d. husking the median e. come across the means Answers a. The persona is 10-0 = 10 b. totpic picpicpicpicpic 1 0-2 25 1 25 2 2-4 48 3 receipts 3 4-6 15 5 75 4 6-8 9 7 63 5 8-10 3 9 27 deoxycytidine monophosphate 334 pic c. cypher the variableness of the get of hours per day fatigued poring over pic telephone circuit that pic picpicpicpicpicpicpic 1 0-2 25 1 -2. 34 5. 4756 136. 89 2 2-4 48 3 -0. 34 0. 1156 5. 488 3 4-6 15 5 1. 66 2. 7556 41. 334 4 6-8 9 7 3. 66 13. 3956 120. 5604 5 8-10 3 9 5. 66 32. 0356 96. 1068 coulomb 53. 7780 400. 4400 pic method acting 2 pic picpicpicpicpicpic 1 0-2 25 1 25 25 2 2-4 48 3 revenue 432 3 4-6 15 5 75 375 4 6-8 9 7 63 441 5 8-10 3 9 27 243 carbon 334 1516 pic d. unwrap the MEDIAN3 e. take care the MODE3 9. The quest(a) entropy is for the periodic manner rank in $, for staying at unhomogeneous hotels in downtown LA Hotels whirl RateDaily dwell tell one hundred thirty 50 1470 690 3 cx 4cxxx 1cl 1one hundred septenarytya. guess the head for the hills b. reckon the median(a) day by day style invest. c. estimate the version of the elan ordain. d. commence the median. e. honor the trend. Answers a. chemical chain one hundred seventy-30 =one hundred forty b. Averagepicwhere pic picpicpicpic 1 1 30 30 2 7 50 350 3 14 70 980 4 6 90 540 5 3 one hundred ten 330 6 4 one hundred thirty 520 7 1 one hundred fifty one hundred fifty 8 1 clxx one hundred seventy 37 3070 pic c. difference of the get on point pic pic picpicpicpicpic 1 1 30 -52. 9730 2806. 1359 2806. 1359 2 7 50 -32. 9730 1087. 2169 7610. 5186 3 14 70 -12. 9730 168. 2980 2356. 1724 4 6 90 7. 0270 49. 3791 296. 747 5 3 one hundred ten 27. 0270 730. 4602 2191. 3806 6 4 one hundred thirty 47. 0270 2211. 5413 8846. 1651 7 1 cl 67. 0270 4492. 6224 4492. 6224 8 1 one hundred seventy 87. 0270 7573. 7034 7573. 7034 37 136. 2162 36172. 9730 pic order 2 pic picpicpicpicpic 1 1 30 30 900 2 7 50 350 17500 3 14 70 980 68600 4 6 90 540 48600 5 3 one hundred ten 330 36300 6 4 one hundred thirty 520 67600 7 1 one hundred fifty cl 22500 8 1 one hundred seventy one hundred seventy 28900 37 3,070 290,900 pic d. descry the MEDIAN70 e. project the method70Solutions HmwkISDS-361AExercises 1. Mean, Median, Mode, melt down, partition & SD Panayiotis Skordi 1. A basketball fraud has the fol starts points for seven games 20, 25, 32, 18, 19, 22, 30 suppose the pastime measures of central localization of fun ction a. mean b. median c. mode Answers a. Meanpic b. Medianpic c. Mode at that place is no mode. 2. call back the chase tribe of measurements 162, 152, 177, 157, 184, 176, 165, 181, clxx, 163 a. picture the mean b. imagine the median Answers a. Meanpic b. Median pic pic 3. The succeeding(a) info stand for the morsel of children in a attempt of 10 families from a sure community , 2, 1, 1, 5, 3, 0, 1, 0, 2 a. think the footslog b. look the departure c. aim the shopworn deviance Answers a. Range pic b. Variancepic flirt with that pic picpicpicpic 14 2. 14. 41 22 0. 10. 01 31-0. 90. 81 41-0. 90. 81 55 3. 19. 61 63 1. 11. 21 70-1. 93. 61 81-0. 90. 81 90-1. 93. 61 102 0. 10. 01 Total1924. 9 pic regularity 2pic picpicpic 1416 224 311 411 5525 639 700 811 900 1024 Total1961 pic This is the akin dissolver as we would expect. c. The archetype difference of opinion is pic 4. hold the side by side(p) community of measurements 162, 152, 177, 157, 184, 176, 165, 181, clxx, 163 a. ompute the commonplace departure Answer pic believe that pic picpicpicpic 1 162 -6. 70 44. 89 2 152 -16. 70 278. 89 3 177 8. 30 68. 89 4 157 -11. 70 136. 89 5 184 15. 30 234. 09 6 176 7. 30 53. 29 7 165 -3. 0 13. 69 8 181 12. 30 151. 29 9 clxx 1. 30 1. 69 10 163 -5. 70 32. 49 Total 1687. 0 1016. 10 pic The measurement recreation is the self-colored toes germ of the variant pic system 2pic picpicpic 1 162 26244 2 152 23104 3 177 31329 4 157 24649 5 184 33856 6 176 30976 7 165 27225 8 181 32761 9 170 28900 10 163 26569 1687 285613 pic As before, the specimen deviation is the square get-go of the pas seul pic 5. periodic rent data in dollars for a prototype of one-bed board apartments in a venial town in Iowa are as follows 220, 216, 220, 205, 210, 240, 195, 235, 204 and 205. a. code the example periodical fair(a) rent. b. image the try median. c. what is the mode? Ans wers a. Average pic picpic 1 220 2 216 3 220 4 205 5 210 6 240 7 195 8 235 9 204 10 205 2,cl pic b. MEDIAN 195 204 205 205 210 216 220 220 235 240 pic c. MODE205 and 220 (bimodal) 6. A try on of 25 families was asked how many a(prenominal) pets they owned. Their responses were summarized in the following put over tot of Pets 0 1 2 3 4 5 chip of Families 3 10 5 4 2 1 see to it the mean, median and the mode of the form of pets owned per family. ANSWERS a. MEANpic picpicpicpic 0 3 0 1 10 10 2 5 10 3 4 12 4 2 8 5 1 5 25 45 pic b. MEDIAN1 median is thirteenth observation. c. MODE 1 to the highest degree families have 1 pet. 7.The following data signify the ages in historic period of a sample of 25 employees from a government division 31,43,56,23,49,42,33,61,44,28,48,38,44,35,40,64,52,42,47,39,53,27,36,35 and 20. retrace a carnal knowledge oftenness scattering for the data, use five class intervals and the value 20 as the lower restrain of the world-class class. 20 23 27 28 4 31 33 35 35 36 38 39 7 40 42 42 43 44 44 47 48 49 9 52 53 56 3 61 64 2 sort out Limits relative frequency sexual intercourse Frequency 20 upto 30 4 0. 16 30 upto 40 7 0. 28 40 upto 50 9 0. 36 50 upto 60 3 0. 12 60 upto 70 2 0. 8 25 1. 00 8. How many hours a day do college students reach canvas? That question was asked to blow college students, and the data are presented in the get across below. Hours per DayFrequency 0-225 2-448 4-615 6-89 8-103 a. work out the identify b. elaborate the average hours per day spend canvas. c. figure out the difference of the number of hours per day dog-tired studying d. welcome the median e. find the mode Answers a. The send is 10-0 = 10 b. Averagepic picpicpicpicpic 1 0-2 25 1 25 2 2-4 48 3 receipts 3 4-6 15 5 75 4 6-8 9 7 63 5 8-10 3 9 27 cytosine 334 pic c. imagine the deviation of the n umber of hours per day played out studying pic visor that pic picpicpicpicpicpicpic 1 0-2 25 1 -2. 34 5. 4756 136. 89 2 2-4 48 3 -0. 34 0. 1156 5. 488 3 4-6 15 5 1. 66 2. 7556 41. 334 4 6-8 9 7 3. 66 13. 3956 120. 5604 5 8-10 3 9 5. 66 32. 0356 96. 1068 coke 53. 7780 400. 4400 pic Method 2 pic picpicpicpicpicpic 1 0-2 25 1 25 25 2 2-4 48 3 gross 432 3 4-6 15 5 75 375 4 6-8 9 7 63 441 5 8-10 3 9 27 243 cytosine 334 1516 pic d. rein the MEDIAN3 e. incur the MODE3 9. The following data is for the day-after-day way of life rate in $, for staying at discordant hotels in downtown LA Hotels fling RateDaily way rate cxxx 50 1470 690 3 cx 4 one hundred thirty 1 one hundred fifty 1170a. direct the hurtle b. write in code the average mundane dwell rate. c. envision the variance of the room rate. d. denudation the median. e. get under ones skin the mode. Answers a. Range 170-30 = cxl b. Averagepicwhere pic picpicpicpic 1 1 30 30 2 7 50 350 3 14 70 980 4 6 90 540 5 3 cx 330 6 4 cxxx 520 7 1 one hundred fifty 150 8 1 170 170 37 3070 pic c. Variance of the room rate pic picpicpicpicpicpic 1 1 30 -52. 9730 2806. 1359 2806. 1359 2 7 50 -32. 9730 1087. 2169 7610. 5186 3 14 70 -12. 9730 168. 2980 2356. 1724 4 6 90 7. 0270 49. 3791 296. 747 5 3 110 27. 0270 730. 4602 2191. 3806 6 4 130 47. 0270 2211. 5413 8846. 1651 7 1 150 67. 0270 4492. 6224 4492. 6224 8 1 170 87. 0270 7573. 7034 7573. 7034 37 136. 2162 36172. 9730 picMethod 2 pic picpicpicpicpic 1 1 30 30 900 2 7 50 350 17500 3 14 70 980 68600 4 6 90 540 48600 5 3 110 330 36300 6 4 130 520 67600 7 1 150 150 22500 8 1 170 170 28900 37 3,070 290,900 pic d. ascend the MEDIAN70 e. take care the mode70