84 CHAPTER 3. DISTRIBUTIONS AND INFERENCE 3.32 Assignment 2: Generating datasets Day 2 - Assignment #2: Due Monday, June 25th Make sure your name is written in the upper left had corner of the ﬁrst page of your submission, that 2136 is written in the middle, and the assignment is identiﬁed in the top right corner. your name 2126 Assignment 2, June 25 1. Using R, create ﬁve data sets of differing lengths, means and variances. One should be deterministic - for example the numbers from 100 to 120 in reverse order. One should be a list of the ages of people you know. The other tyhree should be generated using Name and print these data sets along with the commands used to produce them. 2. Use R to calculate the following for each of your data sets. Show all your com- mands: (a) Mean (b) median (c) range (d) length (e) maximum (f) minimum (g) variance (h) standard deviation 3. Produce two histograms for each of your series based on different realizations of the vector of random variables. 4. Calculate the variance of x=(6, 8, 10 ) BY HAND, showing all the necessary calcu- lations. 5. Calculate the variance of x=( 1, 4, 2, 5 ) BY HAND, showing all the necessary calculations.
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