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In one experiment, we want to evaluate the performance of the contestants of an International Geometry Olympiad. We randomly select a group of 19X contestants from different categories. The points (out of 100) of the contestants are given in the table below. 20 30 40 50 60 70 80 90 Points (out of 100) 30 40 50 60 70 80 90 100 X- Number of contestants X/3 2 2 X+1 14 11 8X 10 2 a. Compute the average points. Answer in exact fraction, or rounded to at least 4 decimal places points b. Compute the median points. Answer in exact fraction, or rounded to at least 4 decimal places. points

c. Determine the standard deviation value of the points distribution. Answer in exact fraction, or rounded to at least 4 decimal places d. Find the Pearson's Coefficient of Skewness using the relation between Mean, Median and Standard Deviation. Answer in exact fraction, or rounded to at least 4 decimal places.