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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:

x+y+z3=y\frac{x + y + z}{3} = y

x+y+z=3yx + y + z = 3y

x+z=2yx + 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.

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