MATH 110 ALL EXAMS STATISTICS (QUESTIONS AND ANSWERS)UPDATED 2023 - PORTAGE LEARNING

MATH 110 All Exams STATISTICS- Portage Learning Mod 1 Exam 1 1. Define each of the following: a) Observation b) Element c) Variable Observation- all the information collected for each element in a study Element- in a data set, the individual and unique entry about which data has been collected, analyzed and presented in the same manner Variable- a particular, measurable attribute that the researcher believes is needed to describe the element in their study. 2. Explain outliers An outlier is a value which is out of place compared to the other values. It may be too large or too small compared to the other values 3. Look at the following data and see if you can identify any outliers: Outliers: 4. a) How many were burgers? b) How many were fish? a) Burgers, 2900(0.12)=348 b) Fish, 2900(0.28)=812 Mod 2 Exam 1. 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. a. b. 2. Consider the following data: 392 410 Find the 40th percentile of this data. 3. 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. a. 4. Suppose that you have a set of data that has a mean of 49 and a standard deviation of 8. a) Is the point 57 above, below, or the same as the mean. How many standard deviations is 57 from the mean. b) Is the point 33 above, below, or the same as the mean. How many standard deviations is 33 from the mean. c) Is the point 31 above, below, or the same as the mean. How many standard deviations is 31 from the mean. d) Is the point 79 above, below, or the same as the mean. How many standard deviations is 79 from the mean. 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: The z-score is -2.25, so the data point 31 is 2.25 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 3.75 standard deviations above the mean.