Exercise 1 You want to buy a new condo downtown, so you searched MLS real estate listings and found 18 condos in the Yale Town area. The prices (X, in thousands of $) of the condos you visited are given below. Show your work for all calculations. 325 475 405 415 495 480 376 502 525 548 625 568 600 652 650 555 700 535 (a) Calculate the mean and the standard deviation of the data. (b) Provide the five number summary of the data. (Show your work) (c) Create a histogram of the data using 5 classes. (Use R create the histogram) (d) Describe the shape of the distribution. Exercise 2 Thirty students from a local high school were asked what their plans were after graduation. Possible responses were University (U), Community College (C), work (W), and other (O). The following data were collected. Use R to answer the questions. CUCWWOOWO C W WC UW C CO WCCU OCC WCC CU (a) Create a table of frequency and relative frequency for the data. (b) Create a bar chart for the data. Use relative frequency for the vertical axis. (c) What proportion of students in the sample plan to enter university after graduation? (d) What proportion of students in the sample plan to either work or enter community college after graduation