Survey
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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Review on Stats Name:_______________ 1) Find the mean, median, and mode of: 17, 14, 18, 15, 15, 15, 20 2) Draw a box and whiskers plot of: 42, 19, 42, 20, 44, 30, 54, 38, 41, 42, 32, 45, 30 3) Evan and Lauren each gave away pears. They made 4) Mike and Veronica each sold pears. They the following box plots to show how many pears they made the following box plots to show how gave away each day. Who had the higher number of many pears they sold each day. Who has the pears as a median? larger range? Evan Mike Lauren Veronica 5) Moe and Gina each auctioned sandwiches. They made the following box plots to show how many sandwiches they auctioned each day. Who had the higher interquartile range? Moe Gina Solve: 6) While using their books to study from, students found 7) Amy's Auctions has sales of $43, $56, $53, that their scores increased by 45, 38, 41, 46, 50, 58, $43, $47, $57, $56, $51, $54, $52, $63, and 42, 43, and 38 points from one test to the next. What is $43 for the month of July. What is the mean the mode of the scores? value of the sales? Solve: 8) The median of a set of numbers is 164. What does that 9) The mean of a set of numbers is 100. What mean? does that mean? 10 Find the standard deviation of this sample of data: 11) Find the standard deviation of this sample of 140, 135, 128, 144, 142, 142, 146, 127, 141, 130, 139 data: ) 58, 53, 85, 79, 93, 63, 74, 84, 66, 91, 54 12) Suppose that three is added to each data. Which of the following increase by 3? (circle all that apply) Mean, Mode, Median, IQR, Range, Standard deviation 14) Which is most likely to have the standard deviation? A. Age of 100 teenagers B. Age of 100 professional football players C. Age of 100 chickens D. Age of 100 people at the mall on a Sunday? 1) 13) Suppose that a data point of 125 is added to the data set of #11. Which is affected the most? Mean, mode, median, or standard deviation? 15) The following table displays the survey results of 200 people: Car Truck Male .5 .2 Female .2 .1 How many more males preferred cars than females? 1. mean=114/7, median=15, mode=15 2) 19 30 4 41 3 54 3) Evan had a median of 54, which is less than Lauren's median of 69. 4) Mike had a range of 52, which is less than Veronica's range of 60. 5) Moe had an interquartile range of 51, which is more than Gina's interquartile range of 33. 6) 38 7) 103/2 8) 50% of the data is more than 164, and 50% is less than 164. 9) What you would expect to get on average is 100. 10) 6.62 11) 14.7 1)Find the mean, median, and mode of: 17, 14, 18, 15, 15, 15, 20 First, we sort the list: 14, 15, 15, 15, 17, 18, 20 The mean is found by summing all the elements of the list and then dividing by the number of elements. In this case, the sum is 114 and the number of elements is 7, so the mean is 114/7 For the median, we take the middle number in the ORDERED list. So we'll get 15 for an answer. For the mode, look for the number that occurs the most often. Since 15 occurs more than all the other numbers, 15 is the mode. 2)Draw a box and whiskers plot of: 42, 19, 42, 20, 44, 30, 54, 38, 41, 42, 32, 45, 30 First, we will sort out the list: 19, 20, 30, 30, 32, 38, 41, 42, 42, 42, 44, 45, 54 The lowest number in the list is 19. The highest number in the list is 54. For the median, we take the middle number in the ORDERED list. So we'll get 41 for an answer. When there is a middle number, we eliminate it when solving in the next step. So we divide the list into 19, 20, 30, 30, 32, 38 and 42, 42, 42, 44, 45, 54 For the 1st quartile, we take the middle number in the ORDERED list: 19, 20, 30, 30, 32, 38 However, in this case, there are 2 middle numbers: 30 and 30. We average these to get the 1 st quartile: 30 For the 2nd quartile, we take the middle number in the ORDERED list: 42, 42, 42, 44, 45, 54 However, in this case, there are 2 middle numbers: 42 and 44. We average these to get the 2nd quartile: 43 So now we have our five numbers: 19, 30, 41, 43, 54 Next we just plot them on the number line and draw the box and whisker plot above them: 4 19 41 30 54 3 3)Evan and Lauren each gave away pears. They made the following box plots to show how many pears they gave away each day. Who had the higher number of pears as a median? Evan Lauren 24 34 44 54 64 74 84 94 104 The median is where the line is in the middle of the picture. So we get: Evan had a median of 54, which is less than Lauren's median of 69. 4)Mike and Veronica each sold pears. They made the following box plots to show how many pears they sold each day. Who has the larger range? Mike Veronica 25 33 41 49 57 65 73 81 89 Mike had a range of 52 (89-37), while Veronica had a range of 60 (8525). So we get: Mike had a range of 52, which is less than Veronica's range of 60. 5)Moe and Gina each auctioned sandwiches. They made the following box plots to show how many sandwiches they auctioned each day. Who had the higher interquartile range? Moe Gina 22 30.4 38.8 47.1 55.5 63.9 72.2 80.6 89 The interquartile range is measured from one end of the box to the other. Moe had an interquartile range of 51 (81-30), while Gina had an interquartile range of 33 (76-43). So we get: Moe had an interquartile range of 51, which is more than Gina's interquartile range of 33. 6)While using their books to study from, students found that their scores increased by 45, 38, 41, 46, 50, 58, 42, 43, and 38 points from one test to the next. What is the mode of the scores? For the mode, look for the number that occurs the most often. Since 38 occurs more than all the other numbers, 38 is the mode. 7)Amy's Auctions has sales of $43, $56, $53, $43, $47, $57, $56, $51, $54, $52, $63, and $43 for the month of July. What is the mean value of the sales? The mean is found by summing all the elements of the list and then dividing by the number of elements. In this case, the sum is 618 and the number of elements is 12, so the mean is 103/2 8)The median of a set of numbers is 164. What does that mean? The median is the middle number. So this means that the number in the middle of all the data is 164. It also means that 50% of the values are more than 164 and 50% of all the values are less than 164. And we end up with: 50% of the data is more than 164, and 50% is less than 164. 9)The mean of a set of numbers is 100. What does that mean? The mean is the average of the numbers. It's what you would expect to get (on average) if you picked numbers randomly from the set of numbers over and over again. And we end up with: What you would expect to get on average is 100.