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During an hour at a fast food restaurant, the following types of sandwiches are ordered: 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.
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You may only have the following items when taking an exam: computer, 1- 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 Time Score LATEST Attempt 1 69 minutes 0 out of 50 * * Some questions not yet graded Score for this quiz: 0 out of 50
Question 1 Not^ yet^ graded^ /^10 pts You may find the following files helpful throughout the exam: Statistics_Equation_Sheet
Type of sandwhich Calculations / Relative Frequency (decimal) Relative Percentage %
Hamburger 8/47 0.1702 17.02% Cheeseburge r
Fish 18/47 0.3829 38.29% Turkey 7/47 0.1489 14.89% Chicken 8/47 0.1702 17.02% b.) a.) Major Frequency Hamburger 8 Cheeseburger 6 Fish 18 Turkey 7 Chicken 8 Total 47
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. Your Answer: Find the 40th percentile put the numbers in order first Formula : i ( P/100) n= (40/100)x15= 6th observation The number 407 is the 6th observation putting the numbers in order 387, 389, 392, 399,401, 407, 410, 414, 417, 421, 430, 440, 450, 466, 471
There are a total of fifteen numbers, so n= 15. In order to find the percentiles, we must put the numbers in ascending order: 387 389 392 399 401 407 410 414 417 421 430 440 450 466 471 For the 40th percentile: Therefore, the 40th percentile index for this data
set is the 6th observation. In the list above, the 6th observation is 407.
so 10 is the range for this set. c.) find the standard deviation for this set
so it is 3. d.) Find the coefficient of the variation formula would be standard deviation Divide by the mean x 100 There are six points, so n=6. {22, 18, 16, 26, 20, 24} a) The sample mean is given by: b) The range is the largest value minus the smallest value: Range = 26 – 16 = 10 d) The coefficient of variation is given by:
b.) c.)
d.) a) The data point 57 is above the mean. Now use the z-score to determine how many standard deviations 57 is above the mean. We are told that the mean is 49 and the standard deviation is 8. So, the z-score is given by: The z-score is 1, so the data point 57 is 1 standard deviation above the mean. b) The data point 33 is below the mean. Now use the z-score to determine how many standard deviations 33 is below the mean. We are told that the mean is 49 and the standard deviation is 8. So, the z-score is given by: The z-score is -2, so the data point 33 is 2 standard deviations below the mean (the negative sign indicates that the point is below the mean). c) The data point 31 is below the mean. Now use the z-score to determine how many standard deviations 31 is below the mean. We are told that the mean is 49 and the standard deviation is 8. So, the z-score is given by:
standard deviations below the mean (the negative sign indicates that the point is below the mean). d) The data point 79 is above the mean. Now use the z-score to determine how many standard deviations 79 is above the mean. We are told that the mean is 49 and the standard deviation is 8. So, the z-score is given by: The z-score is 3.75, so the data point 79 is 3. standard deviations above the mean. Question 5 Not^ yet^ graded^ /^10 pts Your Answer: a.) find the b) Find the mode of this set. Consider the following set of data: {22, 14, 35, 49, 8, 18, 30, 44} You may find the following files helpful throughout the exam: Statistics_Equation_Sheet
Quiz Score: 0 out of 50 put numbers in order 8,14,18,22,30,35,44, there are two medians so 30+22 divide by 2 is 26 so 26 is the median b.) there is no mode for this set no repetitive numbers a) In order to find the median, we must first put the numbers in ascending order: 8, 14, 18, 22, 30, 35, 44, 49. Notice that there are two “middle” numbers, 22 and 30. The median is the average of these two numbers. Median = (22+30)/2 = 26. b) No number occurs more than once, so there is “no mode”.