.281px; overflow: hidden; word-break: break-word; color: rgb(61, 61, 61); height: 2286px;”>Case S

.281px; overflow: hidden; word-break: break-word; color: rgb(61, 61, 61); height: 2286px;”>Case Study Chapter 2Elementary StatisticsThe following data set shows prices of 50 college textbooks in a community college bookstore, rounded to thenearest dollar.76198345887062848587863788457583126563033268830302589324866471153630603614047821385012666451071121297967860Answer the following questions based on this data. You must show all work and formulas used, includinglabels 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 usefor your frequency distribution. [One of the columns is for a tally column, which you may omit if you do notneed it.] (12 points) 2. Using information from your frequency distribution in question 1, estimate the sample mean of the frequencydistribution to find the average price of a textbook. You can use the table below to setup the appropriatecolumns needed to compute the sample mean for a frequency distribution. You do not need to recopy all ofthe columns in the original frequency distribution; you only need to recopy the variables needed to calculatethe mean of a frequency distribution along with showing the extra column(s) needed for this formula. Oncecomputed, 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 standarddeviation of the frequency distribution. You should be using the rounded mean you have just found inquestion 2 in your calculations here. A template is provided below to use to show your calculations neededto 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 distributionalong 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 themidpoints from the frequency distribution as the x variable and the frequencies as the y variable. A templateis provided below to create your columns and find their sums to use in the formula. Determine what type ofcorrelation 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)