Background Analyzing Free Throw Shots in Basketball. In the NBA Canada's and Victoria's own Steve Nash has the following all time records: Free throw percentage (90.4%, 2nd), Assists (10 335, 3rd) and Three-point Percentage (42.8%, 11th). Project: For this project, we are going to simulate Nash's Free Throws by rolling two dice at a time with the following rules: If a total on the two dice add up to three or to eleven, he missed the shot. If the total on the two dice add to any other number (2, 4, 5, 6, 7 ,8, 9, 10, or 12) he makes the shot. This works out to an 89% chance of making the shot so it simulates Nash's shooting percentage very closely. Roll the two dice 50 times and record the results using a tally sheet like the one shown below: Dice Total Tally marks Frequency Made Miss 2 2 Made 2 Miss 4 1 Made 5 HI 6 Made In 4 Made 7 7 Made Made 9 2 Made 10 Made 11 Miss 12 Made This is not a true chart, so do not copy it, AND I haven't got all 50 results yet. Produce a frequency histogram. Then join the centres of the tops of each rectangle up C Content Connections by a curve (freehand this, as it will be hard to do any other way) to see how it compares to a normal curve (see diagram below). And finally, using a calculator come up with the mean, and the standard deviation for your data. Your chart will look different than this. Simulation of Free Throws in Basketball Frequency 2 3 4 5 6 7 8 9 10 11 12 Total on Dice