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:

3	6	5	2	4	1	0	3	0	4
0	0	3	1	2	0	2	4	2	6
6	6	2	0	0	0	1	0	4	2
5	3	6	1	2	6	5	0	4	3
2	3	2	1	5	2	3	4	1	5

a) Fill in the frequency table for these data. (2 points each)

Number of Beans in Pod	Number of Bean Pods
0
1
2
3
4
5
6

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 (XX) of the data. (5 points) Mean = Round your answer to 2 decimal places as needed. e) Calculate the standard deviation (SS) 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) (XS,X+S)(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.