Statistic Sample Project

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Mathematics

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I started this sample project and got stuck after completing more than half of it. I would like some assistance with revising it and with the remaining questions to be answer. Please advise.

here are the questions

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Course Number: MATA314, Section A Course Title: Statistics 1.I am doing a study about people that goes to the Gym 2. How much time people goes to the Gym? 3.Focus question” Do you work out at the gym? 4. Final Questions. a)“How many times do you go the gym on a weekly base”? b) And why do you go to the gym? Surveyed 20 male and 20 female Running head: MAJOR PROJECT Some reason that was given to the questions: Male goes for bulk: tone up, strength, health reason, and because it makes them feel good Women go for: toning, weight loss and flat stomach, for bikini bodies because summer is here. 5. Sampling Method to obtaining data is Biased/ Convenience I choose this particular method: Convenience because I was there for information and the opportunity presents itself 6. Sampling data effective, yes because I was able to collect the necessary data 7. Raw data male 5 4 3 2 5 6 7 2 5 2 male 3 4 5 6 2 3 1 5 7 5 female 2 5 5 6 3 3 2, 5 4 7 female 5 6 4 3 2 3 4 5 7 3 5, 4, 3, 2, 5, 6, 7, 2, 5, 2, 3, 4, 5, 6, 2, 3, 1, 5, 7, 5. 2, 5, 5, 6, 3, 3, 2, 5, 4, 7, 5, 6, 4, 3, 2, 3, 4, 5, 7, 3. 8. Arranged data: 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,3, 3, 3, 3,4, 4,4 , 4, 4, 5, 5, 5, 5, 5, 5, 5, 5,5, 5, 6, 6, 6, 6, 7, 7, 7, 7 9. Frequency Distribution:10. Relative Frequency Distribution: Running head: MAJOR PROJECT x 1 2 3 4 5 6 7 f 1 7 9 5 10 4 4 40 rf 1/40=2.5% 7/40=17.5% 9/40=22.5% 5/40=12.5% 10/40=25% 4/40=10% 4/40=10% 100 % 11. Frequency Histogram: 30 Frequency Histogram 25 20 15 10 5 0 1 2 3 4 5 6 7 12. What I expected to learn from this Relative Frequency Histogram study is that most people work out five days a week 13. Draw a Relative Frequency Polygon Running head: MAJOR PROJECT Relative Frequency Polygon 30 Relative frequency 25 20 15 10 5 0 1 2 3 4 5 6 7 . 14. What I expect to learn from this Relative Frequency Polygon diagram is most consumers work out five days with the least being one day 15. Construct a box plot 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,3, 3, 3, 3,4, 4,4 , 4, 4, 5, 5, 5, 5, 5, 5, 5, 5,5, 5, 6, 6, 6, 6, 7, 7, 7, 7 0,1 , 3, 4, 5, 1 7 16. The five major plots are 1, 3,4,5,7 Minimum=1 days Maximum=7 days Median =4 days Running head: MAJOR PROJECT 1st Quartile=3 days 3rd Quartile =5 days 17.What I Expected to learn from this Plot Box study was most people go the gym between 3 and five days 18.Range : Highest data-lowest data 7-1=6 days 19. Mean 28/7= 4 Days 20. Median = 4 Days 21. Mode= 5 Days 22. 50% 1 4 5 7 My diagram reflects the data is mostly to the middle which would be consider a normal 23. Group Data: 1-3 4-6 7-9 24. I choose these three classes because 25/26/27.Group Distribution Frequency/ Relative Frequency DECIMAL AND ADD ONE DATA POINT 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3,3, 3, 3, 3,4, 4,4 , 4, 4, 5, 5, 5, 5, 5, 5, 5, 5,5, 5, 6, 6, 6, 6, 7, 7, 7, 7 x 1-3 f 17 rf 17/40 =.425=43% Mid point 2 Running head: MAJOR PROJECT 4-6 7-9 19 4 40 19/40=.475=47% 4/40= .1-= 10% 5 8 10 28 UCL of the third class=9-7=2 days 29. LCL of the first class=3-1=2 days 50 45 40 frequency 35 30 25 20 15 10 5 0 1 2 5 8 30. X-data points 31. According to this relative Frequency Polygon it reflects that most people go to the gym 2 days or 5 days a week Running head: MAJOR PROJECT Frequency Histogram 50 45 40 35 30 25 20 15 10 5 0 x 1 2 5 8 10 32. 33. According to this Frequency Histogram most people goes to the gym between two and five days, which can be determine that they take care of their health. 34. Calculate the group means x f 1-3 4-6 7-9 17 19 4 40 Mid point x frequency 2*17=34 5*19=95 8*4=32 Freq x X² mid 17*2²= 68 19*5²=475 4*8²= 256 161/40=4.025 799/ Group mean =4.025 days 35. Calculate the Group Variance S²=Ʃfx²-[ (Ʃf X xm)²/n] Running head: MAJOR PROJECT n-1 799-161²/20= 799-1296 20-1 799-1296 = (-497)/19= -26.16 36. Standard Deviation= √-26.16 =5.11 days 37. The Usual range of value of the data received is 38.The range in the data is 39. The range of the middle 50% of the data 40.The value of the lower 10% of the data is 41. 4.025-5.11=1.085
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