Chapter 2 Elementary Statistics The following data set shows prices of 50 college textbooks in a community college bookstore, rounded to the nearest dollar. 76 19 83 45 88 70 62 84 85 87 86 37 88 45 75 83 126 56 30 33 26 88 30 30 25 89 32 48 66 47 115 36 30 60 36 140 47 82 138 50 126 66 45 107 112 12 97 96 78 60 Answer the following questions based on this data. You must show all work and formulas used, including labels on final answers, in order to receive full credit. Round decimals to three places unless otherwise noted. 1. Make a frequency distribution to organize your data using five classes. Below is a template that you can use for your frequency distribution. [One of the columns is for a tally column, which you may omit if you do not need it.] (12 points) 2. Using information from your frequency distribution in question 1, estimate the sample mean of the frequency distribution to find the average price of a textbook. You can use the table below to setup the appropriate columns needed to compute the sample mean for a frequency distribution. You do not need to recopy all of the columns in the original frequency distribution; you only need to recopy the variables needed to calculate the mean of a frequency distribution along with showing the extra column(s) needed for this formula. Once computed, round the mean to the nearest whole number through conventional rounding. (12 points) 3. Again using information from your frequency distribution in question 1, estimate the sample standard deviation of the frequency distribution. You should be using the rounded mean you have just found in question 2 in your calculations here. A template is provided below to use to show your calculations needed to solve the formula. You do not need to recopy all of the columns in the original frequency distribution; you only need to recopy the variables needed to calculate the standard deviation of a frequency distribution along with showing the extra columns needed for this formula. (12 points) 4. Find the correlation coefficient for the data from the frequency distribution in question 1, using the midpoints from the frequency distribution as the x variable and the frequencies as the y variable. A template is provided below to create your columns and find their sums to use in the formula. Determine what type of correlation the data has. (12 points) Price (x) Frequency (y) 5. a. From the original list of 50 individual data values given at the beginning of the case study, find the fivenumber summary. (6 points) b. What percentage of the books had a selling price of fewer than $37? Explain your answer. (3 points) c. What is the mode of the data? Explain. (3 points)