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Question 1 Total = 10 marks] Suppose 335 privately owned flats in Hong Kong are randomly selected to study their percentage drop in housing values during the pandemic period. Data on this variable was collected and analysed by using R. The following are the adopted commands and the corresponding outputs from R. > h drop=read. csv ('D: /Data/housing_drop.csv' ) > breaks=seq (0, 70, by=10) > h drop. cut=cut (h_drop$per, breaks, right=FALSE) > h drop. freq=table (h_drop. cut) > cbind (h drop. freq) h drop . freq [0, 10) 70 [10, 20) 85 [20, 30) 85 [30, 40) 50 [40, 50) (22-U) U=5 [50, 60) (15+U) [60, 70) 8 (a) Estimate the approximate number of flats having a percentage drop in housing values of less than 22%. (Correct your final answer to an integer) (2 marks) (b) Estimate the mean, mode and standard deviation of the percentage drop in housing values. (Correct your final answers to 1 decimal place) (6 marks) (c) Using the results from part (b) only, calculate the first coefficient of skewness and based on it to comment on the shape of the distribution. (Correct your final answer to 2 decimal places) (2 marks)