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Data Mining IS421 – Assignment 1 Solve All the Following Questions: 1) Question One I. Given the x, y coordinates of the following data points: (0,1);(1,3);(4,11);(5,12);(6,13);(9,21);(10,23) 1) Compute the mean, median and mode of the y values, and what does every measure tell us? 2) Compute the standard deviation of y values, what does the standard deviation tell us? 3) Compute the IQR (Inter Quartile Range) for the y values and state what does it mean? 4) Compute the coefficient of Variation between x and y and show what does it mean to the data miner? 5) Find Mean deviations of x values, and state what does it tell the data miners? 6) For y data values, what is the best tendency measure expressing these data values? II. Derive or (state with a logical reason) a relationship between the following tendency measures: a) Mean, Mode, and Median, stating which measure is valuable for the tendency measure between data points when we know that; these data points contain outliers? b) Arithmetic, Harmonic, and Geometric Mean; giving a real life and practical example where each measure is the most reasonable one? c) Explain how to modify mean to solve the problem of outliers. d) Differentiate between the tendency and dispersion measures from the following perspective: i. The meaning of each type ii. Why we need to compute the tendency and dispersion measures iii. Which one is more reasonable when we that our data set have noise and/or outliers?
Data Mining IS421 – Assignment 1 2) Question Two I. What is the difference between disjoint and independent events? Are disjoint events are independent? justify your answer II. A box contains 8 red, 3 white, and 9 blue balls. If three balls are drawn at random without replacement, determine the probability that: a. All three are red b. Two are red and one is white c. All three are white d. At least one is white e. One for each color is drawn f. Repeat the experiment if we draw with replacement and answer the questions from (a…to…
Data Mining IS421 – Assignment 1 Solve All the Following Questions: 1) Question One I. Given the x, y coordinates of the following data points: (0,1);(1,3);(4,11);(5,12);(6,13);(9,21);(10,23) 1) Compute the mean, median and mode of the y values, and what does every measure tell us? 2) Compute the standard deviation of y values, what does the standard deviation tell us? 3) Compute the IQR (Inter Quartile Range) for the y values and state what does it mean? 4) Compute the coefficient of Variation between x and y and show what does it mean to the data miner? 5) Find Mean deviations of x values, and state what does it tell the data miners? 6) For y data values, what is the best tendency measure expressing these data values? II. Derive or (state with a logical reason) a relationship between the following tendency measures: a) Mean, Mode, and Median, stating which measure is valuable for the tendency measure between data points when we know that; these data points contain outliers? b) Arithmetic, Harmonic, and Geometric Mean; giving a real life and practical example where each measure is the most reasonable one? c) Explain how to modify mean to solve the problem of outliers. d) Differentiate between the tendency and dispersion measures from the following perspective: i. The meaning of each type ii. Why we need to compute the tendency and dispersion measures iii. Which one is more reasonable when we that our data set have noise and/or outliers?
Data Mining IS421 – Assignment 1 2) Question Two I. What is the difference between disjoint and independent events? Are disjoint events are independent? justify your answer II. A box contains 8 red, 3 white, and 9 blue balls. If three balls are drawn at random without replacement, determine the probability that: a. All three are red b. Two are red and one is white c. All three are white d. At least one is white e. One for each color is drawn f. Repeat the experiment if we draw with replacement and answer the questions from (a…to…
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