Seven pennies are tossed 30 times and the number of heads each time are recorded. The results of this experiment are shown below. Number of Heads 0 1 2 3 4 5 6 Number of 1 3 8 10 5 2 0 Occurrences (a) Compute the mean and the standard deviation for the data. (b) What percentage of the data is within 1 standard deviation of the mean? (c) What percent of the data differs from the mean by more than 2 standard deviations