M2 Exam

a.) Major Frequency Hamburger 9 Cheeseburger 7 Fish 19 Turkey 9 Chicken 9 Total 53 b.) Major Calculation Relative Relative Frequency Percentage Hamburger 9/53 1698 16.98 % Cheeseburger 7153 = 1320 13.20 % Fish 19/53 = 3584 35.84 % Turkey 9/53 = 1698 16.98 % Chicken 9/53 = 1698 16.98 % Question 2 10/10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = (https://previous.nursingabc.com/upload/images/Help_file picture/Statistics Consider the following data: 430 389 414 401 466 421 399 387 450 407 392 410 440 417 471 Find the 40th percentile of this data. 4 G Your Answer:

v/s2|=|4/30| = 5.48 Coefficient of variation is given by: Coefficient of variation = | {2darddeviation |\ 400 = | 5-478 |\ 400 = 22.825 Mean 24 There are six points, so n=6. {29, 20, 24, 18, 32, 21} a) The sample mean is given by: 29+20+ 24+ 18+ 32+ 21 _ 3 24 e V0D xr=— n b) The range is the largest value minus the smallest value: Range=32-18 =14 c) In order to find the sample standard deviation, we must first find the sample variance: 2oL -%)? _ (29-24) + (20 -24)° + (24 - 24)" + (18 — 24)* + (32 — 24)* + (21 - 24)* _ - o’ 1 6—1 The standard deviation is given by: s=4s2=y30=15.478 d) The coefficient of variation is given by: c EtsE Rk Standard Deviation 100 5.478 = * = oefficient of Variation Noca >3 + 100 = 22.825 Question 4 10/ 10 pts

a) The data point 50 is below the mean. Now use the z-score to determine how many standard deviations 50 is below the mean. We are told that the mean is 58 and the standard deviation is 8. So, the z-score is given by: The z-score is -1, so the data point 50 is 1 standard deviation below the mean. (the negative sign indicates that the point is below the mean). b) The data point 42 is below the mean. Now use the z-score to determine how many standard deviations 42 is below the mean. We are told that the mean is 58 and the standard deviation is 8. So, the z-score is given by: _x-x 42-58 -16 — =2 e 8 8 The z-score is -2, so the data point 42 is 2 standard deviation below the mean (the negative sign indicates that the point is below the mean). c) The data point 54 is below the mean. Now use the z-score to determine how many standard deviations 54 is below the mean. We are told that the mean is 58 and the standard deviation is 8. So, the z-score is given by: The z-score is -.5, so the data point 54 is .5 standard deviations below the mean (the negative sign indicates that the point is below the mean). d) The data point 84 is above the mean. Now use the z-score to determine how many standard deviations 84 is above the