Modeling Spread of Data Name: Directions: Graph the following linear inequalities. 1. Answer questions (a - e) for the following set of data. 3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 a. Find the mean of the data. b. Find the median of the data. c. Find the mode of the data. d. Find the range of the data. e. Find the standard deviation of the data. Q Search hn2. Answer questions (a - d) for the following three data sets. A = {3, 5, 7, 9, 11, 12, 12} B = {1, 2, 2, 5, 5, 9, 13} C = {2, 5, 8, 9, 12, 13, 17} a. Find the mean of each data set, b. Find the standard deviation of each data set. c. Identify the data set with the largest and smallest standard deviation. d. Explain what the standard deviations say about the data sets. Search 13 hp+ 13 of 5 3. You have a statistics project due in your math class. As part of the project for one hour you count how many shoppers at your favorite store are between the ages of 21 and 25. Your frequency table is below. Use this table to answer questions (a - c). Ages Frequency 21 2 22 5 23 3 24 7 25 10 a. Find the mean of the data. b. Find the standard deviation of the data. c. Explain what the mean and standard deviation tell you about the data you collected. Q Search 13+ 4 of 5 4. Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three Algebra 1 courses and all the classes recently took a chapter exam. Below are the scores. Class 1 Class 2 Class 3 45 64 70 68 65 75 77 70 75 90 40 90 90 100 100 95 87 80 100 84 55 100 88 65 86 90 76 90 90 80 50 95 88 55 80 99 a. Find the mean, median, mode and range of Class 1. b. Find the mean, median, mode and range of Class 2. Find the moon madian made and manan of Plans 2 Q Search 13+ 5 of 5 Continue on the following page. d. Find the standard deviation of Class 1. e. Find the standard deviation of Class 2. f. Find the standard deviation of Class 3. g. Which class had a higher standard deviation and what does that mean? h. In your opinion, which class did better on the exam? Explain your answer. Q Search 13 hp