Relative Frequency

1. Assume the relative core rates for a pattern of men-folks are regularly as sorted delay a balance of 70 and a flag derangement of 15. Use the 68-95-99 administration to meet the forthcoming quantities: a. Percentage of rates hither than 70 = 50% b. Percentage of rates hither than 55 = 16% c. Relative quantity of rates hither than 40 = 2. 5% d. Percentage of rates hither than 85 = 84% e. Relative quantity of rates hither than 100 = 97. 5% f. Percentage of rates superior than 85 = 16% g. Percentage of rates superior than 55 = 84% h. Relative quantity of rates superior than 40 = 97. 5% i. Percentage of rates betwixt 55 and 85 = 68% j. Percentage of rates betwixt 70 and 100 = 47. 5% 2. Here are the results of immodest of your touchstone: | | Your beak | Balance |Standard Derangement | |Math (out of 100) |70 |80 |3. | |QM (out of 20) |20 |18 |3 | |RM (out of 100) |66 |75 |5 | |History (out of 30) |28 |20 |3. 5 | a. Offer all immodest results on a flagized regular deflexion. Be abiding to offer the calculations for each touchstone. Math: (70 - 80) / 3. 3 = -3. 03 *QM: (20 - 18) / 3 = 0. 67 *RM: (66 - 75) / 5 = -1. 8 *History: (28 - 20) /3. 5 = 2. 29 [pic] Math RM QM History b. What is the percentage of community who feel a meliorate sign than you in math? My math’s sign is -3. 03 ( 49. 88 is the area betwixt Balance and z. (50% + 49. 88) 99. 88% of community get a meliorate sign than me in math. c. What is the percentage of community who feel a inferior sign than you in RM? I got -1. 8 ( 35. 99 (50 - 35. 99) 14. 1% of community feel a inferior sign than me in RM d. Which touchstone is the best? Explain The best touchstone is the History one, past it has the eminentest z-score, 2. 29. There is a eminent independence betwixt my sign and the sign’s mediocre of the rank. I’m 98. 9% aggravate the rank. 98. 9% of community got a inferior sign than me in History. 3. Pediatric grounds communicate that the mediocre offshoot is toilet serviceable at 26 months, but that there is a 2-month flag derangement from this continuity. a. What percentage of offshootren are toilet-serviceable by 23 months? 50 – 35. 31) 14. 69% of offshootren are toilet-serviceable by 23 months. b. A woman is uneasy that her son was serviceable at 30 months. What is the appearance of having a offshoot substance serviceable at 30 months? (50 – 47. 72) 2. 28% is the appearance of having a offshoot substance serviceable at 30 months. c. A woman is acquiescent that her daughter is serviceable at 18 months. How niggardly is it that a offshoot would be toilet serviceable at this age? (50 – 49. 997) There is . 003 of probabilities that a offshoot would be toiled serviceable at 18 months. 4. Assume the beaks discurrent Asian Americans on an derangement layer are regularly as sorted delay a balance of 22 and a flag derangement of 2. 5 (better beaks meditate superior feelings of derangement). Based on this distribution, state a. The appearance of an Asian American having an derangement beak betwixt 22 and 25 The appearance of an Asian American having an derangement beak betwixt 22 and 25 is 38. 49%. b. The appearance of an Asian American having an derangement beak of 20 or hither. (50 – 28. 81) The appearance of an Asian American Having an derangement beak of 20 or hither is 21. 19%.