Problem Set #2 - Probability and Descriptive Statistics

1. how to define the following vector in R: 26, 30, 35, 10, 2, 71, 43, 44, 18, 51, 57, 54, 61, 30, 100.
2. each of these must be done in two ways: using the mathematical formula, it must be performed manually in R - use this to built-in R function.
3. Arithmetic mean
4. 25th and 75th quantiles
5. Variance
6. Standard deviation
7. it be created histogram for your vector using the bins of 0-10, 11-20, ..., 81-90, 91-100. it can be used ggplot2 for this but it is not required. Do not forget to give your graph a title and some axis labels.