B. Histograms. On a separate sheet of graph paper (see Blackboard at Coursework\\Unit 1 Problem Packet\\P.1 for a sheet of graph paper]: a. draw a frequency histogram of the non-cumulative frequencies, properly formatted and esthetically presented with all pertinent information with the graph properly titled, scaled, labeled on the x-axis and yaxis, with the xaxis showing the quantity being counted and the unit; draw a relative frequency histogram of the relative frequencies, properly formatted and esthetically presented. Answer the following questions: a. Is the data normally distributed (Le. bell-shaped]? Or, rather, is the data skewed left or right? b. Are there any outliers? If so, a) identify their values; and b) discuss how did you choose to deal with them when you constructed your frequency distribution and histogram and why? [You may just "eyeball" the outliers you do not need to use the "fence test"] c. Calculate the mean of the sale price including all outliers. Then calculate the mean of the sale price excluding all outliers. Compare the two means be taking their difference. By how much did the exclusion of any outliers affect the mean? Note: you have the raw data, so find the mean of the raw data, NOT the approximate mean of the histograms. d. Find the median of the sales price, rst with and then without any outliers. By how much did the exclusion of any outliers affect the median? Note: you have the raw data, so nd the median of the raw data, NOT the approximate median of the histograms. e. What do statisticians mean when they say that the median is a measure of center more resistant to outliers than the mean? Does your data support this contention? Explain why or why not? Explanation: PART A ) Total sample size; n = 50 Using Sturge's rule, the number of classes is given by; k = 1 + 3.3logn k = 1 + 3.3l0950 k = 6.6066 R - 7 Class width = (Maximum value - Minimum value) / 7 = (572 - 86.5) / 7 = 69.357 ~ 69 Class Interval Frequency Relative Frequency 86 - 155 0.54 156 - 225 0.36 226 - 295 0.08 296 - 365 0.00 366 - 435 0.00 436 - 505 0.00 506 - 575 0.02 Total PART B ) Frequency Histogram 30 27 25 20 18 Frequency 15 10 5 0 0 0 [86.5, 155.9] (155.9, 225.2] (225.2, 294.6] (294.6, 363.9] (363.9, 433.3] (433.3, 502.6] (502.6, 572.0] Selling Price (in thousands of dollars)PART C) Relative Frequency Histogram 0.60 0.54 0.50 0.40 0.36 Relative Frequency 0.30 0.20 0.10 0.08 0.00 0.00 0.00 0.02 0.00 86- 155 156 - 225 226 - 295 296 - 365 366 - 435 436 - 505 506 - 575 Selling Price (in thousands of dollars)