Some questions depend on the answer of previous questions. These questions will be graded on their own, without regard, to the previous answer being correct or not. In other words, mistakes from the early question will not carry fonNard to future ones. Calculations do not need to be completed. Symbols can be used. 1. Data : Below is the ABV (Alcohol by volume) of 11 randomly selected beers. 10.20% 5.50% 7.00% 8.60% 4.50% 6.70% 4.50% 8.00% 5.20% 5.50% 5.60% a. (5pts) What is the median and the IQR of the above numbers? (5pts) What is the mean and standard deviation of the above numbers? 0. (4pts) We can also categorize our data into low, median and high alcohol beers. Below 6% is low, above 8% is high and everything in between is medium. Make a histogram to display your data. d. (4pts) If you know your high alcohol beers have an mean ABV of 10.20%, medium has ABV of 6.85% and low has ABV of 5.13% can you use your histogram to calculate the mean of all your data? e. (2pts) If you used the information in part (d) to calculate the standard deviation would you be over or under estimating the true standard deviation? One word answer please. 9