Five friends who play badminton surveyed the city and collected the price of shuttlecocks across brands and types (Nylon and Feather). The following is the list of the prices, in rupees (₹), that each one compiled. Yusuf: 40(N), 105(N), 383(F), 108(N), 165(F), 116(F) Srikanth: 194(N), 85(N), 93(N), 121(N) Kashvi: 49(N), 297(F), 105(N), 275(F), 40(N) Prasanna: 124(N), 333(F), 182(N), 258(F) Gracy: 220(F), 458(F), 129(F), 183(N) Can you describe a way they can work together to find the average price of a shuttlecock across types? (i) Each one calculated the average of the prices they had gathered. Suppose these are aᵧ, aₛ, aₖ, aₚ, a₉ respectively. Write an expression that gives the combined average. (ii) Suppose aₙ, a𝒻 are the average prices of the nylon shuttlecocks and the feather shuttlecocks, respectively. Write an expression that gives the average price of a shuttlecock. Will this be equal to the answer we got using the method in the previous part?