5.54 If the arithmetic mean of two unequal positive real number 'a' and 'b'; (a> b). betwice as great as their geometric mean, show that:a: b = (2+√3)(2-√3) Example 5:36. Find the value of mean,...

5.54 If the arithmetic mean of two unequal positive real number 'a' and 'b'; (a> b). be twice as great as their geometric mean, show that: a: b = (2+√3)(2-√3) Example 5:36. Find the value of mean, mode and median from the data given below Weight (in kg.) No. of students = 93 - 97 ,98 - 102, 103 - 107 ,108-112, 113-117, 118 -122, 123 - 127, 128 -132 Number of students= 3, 5,12,17,14,6,3,1 Example 542. (a) Find the Geometric Mean of 2, 4, 8, 12, 16 and 24. (b) If the observations 2, 4, 8 and 16 occur with frequencies 4, 3, 2 and I respectively, find their geometric mean