b) Determine the mode of the data. (5 points) Mode = Round your answer to 2 decimal places as needed. c) Determine the median of the data. (5 points) Median = Round your answer to 2 decimal places as needed.d) Calculate the mean (X ) of the data. (5 points) Mean = Round your answer to 2 decimal places as needed. e) Calculate the standard deviation (S') using your graphing calculator. (5 points) Hint: Also verify that the mean you calculated in part d matches the mean from the calculator. Standard deviation = Round your answer to 2 decimal places as needed. f) Determine the range of variation: (2 points each) ( X - S, X + S) =( Round your answers to 2 decimal places as needed. g) Calculate what percent of the data values are within one standard deviation of the mean. Hint: Create a histogram on paper and shade the included region(s) on your histogram to help visualize the shaded area and help with calculations. Total area of shaded region = (4 points) Round your answer to 2 decimal places as needed. Percent of area within one standard deviation = % (3 points) Round your answer to 2 decimal places as needed.4) A botanist opened a sample of 50 bean pods and counted the number of beans in each pod. The results obtained were as follows: 0 3 3 0 2 5 5 5 2 6 0 4 3 4 2 2 5 0 6 6 4 4 6 2 0 4 6 6 6 3 5 5 4 6 5 4 3 a) Fill in the frequency table for these data. (2 points each) Number of Beans in Pod Number of Bean Pods 0 N W UT 6