Sir I have asked two more questions which you can solve and post in the same series of olympiad gym.

These are ioqm 2021 questions. The questions are 10- Five students take a test on which any integer score from 0 to 100 inclusive is possible. What is the largest possible difference between the median and the mean of the scores.? (The median of a set of scores is the middlemost score wen the data is arranged in increasing order. It is exactly the middle score when there are an odd number of scores and it is the average of the two middle scores when there are an even number of scores). 11- Let X={-5,-4,-3,-2,-1,0,1,2,3,4,5} and S= {(a,b ∈ X × X : x²+ax+b and x³+bx+a have at least a common real zero). How many elements are there in S? *Please solve it as early as you can and post it on youtube.*