Problem Set 4- Variance & Standard Deviation (10 points) Public corruption continues to be a concern. Let's examine data from the U.S. Department of Justice to explore the variability in public corruption in the years 2015 and 2019. All the numbers below are of those convicted of public corruption. Number of Public Corruption Convictions by Year 2015 2020 Govt. Level No. of Convictions Govt. Level No. of Convictions Federal 402 Federal 448 State 97 State 119 Local 200 Local 272 Total () EY 699 EY 839 Y 233 Y 280 E( Y - Y) E( Y - Y) 48,146 [( Y - Y) 54,209 *formula 4.2 on page 128 and formula 4.3 on page 129 is very helpful to complete this problem set. a. Calculate the variance and standard deviation for 2015 and 2019. (4 points) b. Which year appears to have more variability in number of convictions as measured by the standard deviation? Are the results consistent with what you found using the range? (4 points)