Statistic and probability

Project # 1 (Pick any DATA) The following data represent the Weight in Grams of a simple random sample of 50 M&M plain candies. 0.87 0.91 0.89 0.83 0.91 0.88 0.9 0.88 0.88 0.94 0.91 0.95 0.91 0.88 0.88 0.92 0.82 0.86 0.86 0.87 0.86 0.89 0.84 0.85 0.9 0.86 0.87 0.93 0.89 0.79 0.93 0.84 0.9 0.86 0.93 0.91 0.87 0.82 0.81 0.84 0.84 0.88 0.88 0.85 0.84 0.83 0.9 0.86 0.84 0.87 a. Determine the shape of the distribution of weights of M&Ms by drawing a frequency histogram. b. Find the mean and median. Which measure better describe the weight of a plain M&M? c. Determine the sample standard deviation weight. d. Use the Empirical Rule to determine the percentage of M&Ms weights between 0.803 and 0.947 grams, and the percentage more than 0.911 gram. E. Draw a boxplot of these data. Use the boxplot and quartiles to confirm the distribution is symmetric