1. Tossing a coin 11 times and record the random variable X=the number of Heads in the table below, as well as the relative frequency Number relative frequency X=1 2. Work out the sample mean, sample variance and sample standard deviation (these are estimates of the Bemoulli mean, variance and standard deviation) sample mean sample variance sample standard deviation 3. From your research on the internet, some up with one other measure of volatility. Do you think the measure of volatility you use is closer in concept to the variance or the sample standard deviation? Why? 4. Assuming the coin is unbiased, work out the theoretical mean and standard deviation mean standard deviation 5. Using your sample in part (a) work out the average deviation of each value of X from the true mean. Write down two meanings of 'standard deviation' average deviation meaning 1 meaning 2