Q3. Suppose that the data for analysis includes the attribute age. The age values for the data tuples are (in increasing order) (40pt) 5 11 11 12 13 15 16 16 19 20 20 21 22 22 25 25 25 25 27 28 29 31 33 34 34 34 35 35 35 35 35 35 36 36 36 37 25 26 26 26 40 45 46 52 (a) What is the mean of the data? What is the median? (b) What is the mode of the data? Comment on the data's modality (i.e., bimodal, trimodal, etc.). (c) Can you find (roughly) the first quartile (Q1) and the third quartile (Q3) of the data? (d) Give the five-number summary of the data. (e) Show a boxplot of the data. (f) Show a quantile plot of the data. (g) Show a quantile-quantile plot against a normal distribution with sample mean and sample standard deviation? Note: For (e), (f), (g) any programing language can be used to generate plot, even your hand drawing.

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