solve the following questions ( handwritten) solution only neatly and clean it must be complete read instructions.

Subj: Math

Given the following set of data: 4 9 11 12 17 5 8 12 14. 1. Determine the following: (2 pts each) 1. X 2. X 3. Xmn 4. Q, 5.0 6. Ds 7. P71 8. S Show Solution. 2. Illustrate the Boxplot. (4 pts) III. The frequency distribution of the ages of the employees of Stark Tech is given below: Age 50 -54 45 -49 5 40 -44 11 35 - 39 18 30- 34 30 25 - 29 24 20 - 24 11 1. Find the following: a. mean b. median c. mode of this distribution. (6 pts) 2. Determine: a. Q: b. D, C. Pas of this distribution. (6 pts) 3. Is the median and : of this distribution equal? Are they always equal in all distribution? Why or why not? (3 pts) 4. Determine the: a. quartile deviation (2 pts) b. median deviation from the mode (2 pts) 5. Determine the: a. quartile coefficient of dispersion (2 pts) b. mean coefficient of dispersion from the mode (2 pts) 6. Determine what particular value range contains or includes 99.73 % of the distribution. (2 pts) Note: Show all necessary solutions.\f6 ) we have the following Table , with midpoints Age Midpoint ( x) Frequency (f). fxx 50-54 52 52 45-49 47 1 235 40-44 42 462 35-39 37 18 666 30- 34 32 30 960 25-29 27 24 648 20- 2414 22 1 1 242 E = 3265 Standard deviation is calculated as 6 = If ( x-41 ) 2 N . First calculate Mean which is given by 4 = [(fix, ) _ 3265 - 32.65. If 100 Now , we have ( 2 - 4 ) f f (x - 4 ) ? 52 32.65 374. 4225 374. 4225 4 7 32.65 217. 5625 10 87. 8/25 42 32.65 87.4225 1 1 961 . 6475 37 32.65 10.9225 18 340. 605 32 32.65 0. 4225 30 12.675 27 32. 65 31. 9225 24 766. 19 2 2 32.65 1 13. 4225 1 1 1247. 6475 5= 844. 2375 2= 4790.95