Which of the following statements are True? A. The mean of x, y, z is y. Then x + z = 2y. B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43. C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3. Choose the correct answer from the options given below:
Solution
✅ Correct Option: 4
A) If mean of x, y, z is y: $\frac{x + y + z}{3} = y$ $x + y + z = 3y$ $x + z = 2y$ Therefore statement is TRUE. B) To find median, arrange in ascending order: 15, 28, 31, 32, 43, 44, 51, 56, 72 9 numbers, median is 5th number = 43 Statement is TRUE. C) Numbers: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Counting frequency: 0: 1 time 1: 1 time 2: 1 time 3: 4 times 4: 2 times 5: 1 time Mode is 3 Statement is TRUE. Hence, all statements are true.