please refer to attachment

Problem 6. (6 points) Here is the frequency table summarizing the height of our 2018 Olympians. Height (in) Freq.(fi) Midpoint (mi) mi . fi (mi - x) 2 . fi 60 up to 62.5 12 62.5 up to 65 39 65 up to 67.5 42 67.5 up to 70 62 70 up to 72.5 45 72.5 up to 75 38 75 up to 77.5 5 77.5 up to 80 1 a) Use the summarized data to find out the average and the standard deviation of the height of our Olympians.b) Manually plot the Polygon of the distribution of their height using frequency