M2 Exam

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Portage Learning *

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110

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Statistics

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Jan 9, 2024

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M2 Exam - Requires Respondus LockDown Browser + Webcam Due No due date Points 50 Questions 5 Time Limit 90 Minutes Requires Respondus LockDown Browser Instructions You may only have the following items when taking an exam: computer, 1-2 pieces of blank scratch paper, a pen/pencil, and a calculator. You may ONLY use the equation sheets that are provided WITHIN the exam. The use of printed versions will be considered a violation of the Academic Integrity Policy. Attempt History Attempt Time Score LATEST Attempt 1 67 minutes 50 out of 50 Score for this quiz: 50 out of 50 Submitted Jul 28 at 2:31pm This attempt took 67 minutes. Question 1 10 /10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet = During an hour at a fast food restaurant, the following types of sandwiches are ordered: Turkey Turkey Cheeseburger Hamburger Fish Chicken Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken

Chicken Fish Turkey Fish Hamburger Fish Cheeseburger Fish Cheeseburger Hamburger Fish Fish Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish Chicken Cheeseburger Fish Turkey Fish Fish Hamburger Fish Fish Turkey Chicken Hamburger Fish Cheeseburger Chicken Chicken Turkey Fish Hamburger Chicken Fish a) Make a frequency distribution for this data. b) Make a relative frequency distribution for this data. Include relative percentages on this table. Your Answer: a. ltem Frequency Turkey 9 Cheeseburger 7 Hamburger 9 Fish 19 Chicken 9 —— Total 53 b. ltem Calculation Rel. Frequency [Rel. Percentage Turkey 9/53 1698 17% Cheeseburger |7/53 1320 12.20% Hamburger 9/53 .1698 17% Fish 19/53 3584 35.84% Chicken 9/53 1698 17%

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 7193 = 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. { G Your Answer:

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387 389 392 399 401 407 410 414 417 421 430 440 450 466 471 i=(.40)15 =6 The 40th percentile for this data set is the 6th observation, therefore the 6th observation is 407 There are a total of fifteen numbers, so n=15. In order to find the percentiles, we must put the numbers in ascending order: 387 389 392 399 401 407 410 414417 421 430 440 450 466 471 For the 40th percentile: i=(cbs)n= (%)15:6. Therefore, the 40th percentile index for this data set is the 6th observation. In the list above, the 6th observation is 407. Question 3 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: {29, 20, 24, 18, 32, 21} a) Find the sample mean of this data. b) Find the range of this data.

c) Find the sample standard deviation of this data. d) Find the coefficient of variation. Your Answer: 18, 20, 21, 24, 29, 32 > a) x= _ ‘ 18+2O—|—21—f|5—24—|—29+32 ‘ - [124] - 24 b) Range = largest - smallest = 32-18=14 c) ‘ Sample variance: 2 2(:01—5) -1 (29—24)2+(20—24)% +(24—24)" +(18—24)* +(32—24)* +(21-24)° | _ 6—1 82— _ 30 Data point (18- 18 24)"2=36 (20- 20 24)"2=16 (21- 21 24)"2=9 (24- 24 24)7"2=0 (29- 29 24)"2=25 (32- 32 24)"2=64 Total 150

s=//s2|=[/30| = 5.48 Coefficient of variation is given by: Coefficient of variation = | 22 d“]’;jde”"'“tion x 100 = | 2478 | ¥ 100 = 22.825 ean 24 There are six points, so n=6. {29, 20, 24, 18, 32, 21} a) The sample mean is given by: 2 x; n 29+20+ 24+ 18+ 32+ 21 _ 5 = x= = 24 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: 2 _T(x =% _ (29 -24)" + (20 - 24)* + (24 — 24)* + (18 — 24)% + (32 — 24)* + (21 - 24)* - =¥ 5 6-1 = The standard deviation is given by: s=4s2=130=5.478 d) The coefficient of variation is given by: c AT Standard Deviation 100 5.478 — 4 — oefficient of Variation T 33 + 100 = 22.825 Question 4 10 /10 pts

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You may find the following files helpful throughout the exam: Statistics_Equation_Sheet & (https://iprevious.nursingabc.com/upload/images/Help_file picture/Statistics Suppose that you have a set of data that has a mean of 58 and a standard deviation of 8. a) Is the point 50 above, below, or the same as the mean. How many standard deviations is 50 from the mean. b) Is the point 42 above, below, or the same as the mean. How many standard deviations is 42 from the mean. c) Is the point 54 above, below, or the same as the mean. How many standard deviations is 54 from the mean. d) Is the point 84 above, below, or the same as the mean. How many standard deviations is 84 from the mean. 4 Your Answer: a) 50 is below the mean. It is 1 standard deviation below the mean ‘z: z—7 :‘ 50-58 | _ _, 8 8 b) 42 is below the mean. It is 2 standard deviations below the mean ‘Z: T— :‘ 42—58 =2 8 8 c) 54 is below the mean. It half a standard deviation below the mean

54—58 d) 84 is above the mean. It 3.25 standard deviations above the mean 84—58 8 =3.25

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-% 42-58 -16 — = =2 s 8 8 Zz = 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

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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 3.25, so the data point 84 is 3.25 standard deviations above the mean. Question 5 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 set of data: {25, 22, 14, 35, 44, 8, 18, 30, 44} a) Find the median. b) Find the mode of this set. 4 p Your Answer: 8, 14, 18, 22, 25, 30, 35, 44, 44 a) The middle number is 25. Median = 25 b) The number that appears most is 44.

Mode = 44 a) In order to find the median, we must first put the numbers in ascending order: 8, 14, 18, 22, 25, 30, 35, 44, 44. Notice that the “middle” number is 25. So, Median = 25. b) The number that occurs most is 44. So, the mode is 44. Quiz Score: 50 out of 50

M2 Exam

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