Solutions Hmwk

ISDS-361AExercises 1. Mean, Median, Mode, Range, Disagreement & SD Panayiotis Skordi 1. A basketball player has the aftercited points for seven games: 20, 25, 32, 18, 19, 22, 30 Treasure the aftercited measures of mediate location: a. balance b. median c. enactment Answers a. Mean[pic] b. Median[pic] c. Enactment There is no enactment. 2. Consider the aftercited population of measurements: 162, 152, 177, 157, 184, 176, 165, 181, 170, 163 a. treasure the balance b. treasure the median Answers a. Mean[pic] b. Median [pic] [pic] 3. The aftercited facts portray the estimate of outcome in a specimen of 10 families from a convinced community: , 2, 1, 1, 5, 3, 0, 1, 0, 2 a. treasure the rank b. treasure the disagreement c. treasure the scale flexuosity Answers a. Rank [pic] b. Variance[pic] Remember that [pic] [pic][pic][pic][pic] 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] Method 2[pic] [pic][pic][pic] 1416 224 311 411 5525 639 700 811 900 1024 Total1961 [pic] This is the identical vindication – as we would wait-for. c. The scale flexuosity is [pic] 4. Consider the aftercited population of measurements: 162, 152, 177, 157, 184, 176, 165, 181, 170, 163 a. ompute the scale flexuosity Vindication [pic] Remember that [pic] [pic][pic][pic][pic] |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 |170 | |1. 30 | |1. 69 | |10 |163 | |-5. 70 | |32. 49 | | | | | | | | | | | | | | | |Total |1687. 0 | | | |1016. 10 | [pic] The scale flexuosity is the clear origin of the disagreement [pic] Method 2[pic] pic][pic][pic] |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 anteriorly, the scale flexuosity is the clear origin of the disagreement pic] 5. Monthly divulsion facts in dollars for a specimen of one-bedcompass apartments in a trivial town in Iowa are as follows: 220, 216, 220, 205, 210, 240, 195, 235, 204 and 205. a. treasure the specimen monthly middle divulsion. b. treasure the specimen median. c. what is the enactment? Answers a. Middle [pic] [pic][pic] |1 |220 | |2 |216 | |3 |220 | |4 |205 | |5 |210 | |6 |240 | |7 |195 | |8 |235 | |9 |204 | |10 |205 | | | | | |2,150 | | | [pic] b. MEDIAN 195 204 205 205 210 216 220 220 235 240 [pic] c. MODE205 and 220 (bimodal) 6. A specimen of 25 families was asked how divers pets they owned. Their responses were summarized in the aftercited table: |Number of Pets |0 |1 |2 |3 |4 |5 | |Number of Families |3 |10 |5 |4 |2 |1 | Determine the balance, median and the enactment of the estimate of pets owned per rise. ANSWERS a. MEAN[pic] [pic][pic][pic][pic] 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 13th remark. c. MODE 1 most families own 1 pet. 7. The aftercited facts portray the ages in years of a specimen of 25 employees from a government department: 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. Construct a not-absolute abundance disposal for the facts, using five tabulate intervals and the treasure 20 as the inferior article of the primitive tabulate. |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 | |Class Limits |Frequency |Relative Abundance | | | | | |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 divers hours a day do school students lay-out studying? That inquiry was asked to 100 school students, and the facts are presented in the table adown. Hours per DayFrequency 0-225 2-448 4-615 6-89 8-103 a. treasure the rank b. treasure the middle hours per day elapsed studying. c. treasure the disagreement of the estimate of hours per day elapsed studying d. meet the median e. meet the enactment Answers a. The rank is 10-0 = 10 b. Average[pic] [pic][pic][pic][pic][pic] 1 |0-2 |25 |1 |25 | |2 |2-4 |48 |3 |144 | |3 |4-6 |15 |5 |75 | |4 |6-8 |9 |7 |63 | |5 |8-10 |3 |9 |27 | | | | | | | | | |100 | |334 | [pic] c. treasure the disagreement of the estimate of hours per day elapsed studying [pic] music that [pic] [pic][pic][pic][pic][pic][pic][pic] |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 | | | | | | | | | | | |100 | | |53. 7780 |400. 4400 | [pic] Method 2 [pic] [pic][pic][pic][pic][pic][pic] 1 |0-2 |25 |1 |25 |25 | |2 |2-4 |48 |3 |144 |432 | |3 |4-6 |15 |5 |75 |375 | |4 |6-8 |9 |7 |63 |441 | |5 |8-10 |3 |9 |27 |243 | | | | | | | | | | |100 | |334 |1516 | [pic] d. Meet the MEDIAN3 e. Meet the MODE3 9. The aftercited facts is for the daily compass objurgate in $, for staying at multiform hotels in downtown LA Hotels Offering RateDaily compass objurgate 130 50 1470 690 3110 4130 1150 1170a. Treasure the rank b. Treasure the middle daily compass objurgate. c. Treasure the disagreement of the compass objurgate. d. Meet the median. e. Meet the enactment. Answers a. Rank 170-30 =140 b. Average[pic]where [pic] [pic][pic][pic][pic] | 1 |1 |30 |30 | |2 |7 |50 |350 | |3 |14 |70 |980 | |4 |6 |90 |540 | |5 |3 |110 |330 | |6 |4 |130 |520 | |7 |1 |150 |150 | 8 |1 |170 |170 | | | | | | | |37 | |3070 | [pic] c. Disagreement of the compass objurgate [pic] [pic][pic][pic][pic][pic][pic] |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 | [pic] Method 2 [pic] [pic][pic][pic][pic][pic] |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. Meet the MEDIAN70 e. Meet the enactment70