Question 12

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

Statement A : If average of x, y, z is y.
x + y + z = 3y
So, 2y = x + z is true statement.

Statement B : The given data set can be written in ascending order = { 15, 28, 31, 32, 43, 44, 51, 56, 72} . Therefore in the data set the median is 43.

Statement C : Mode is known as the data point which has highest frequency (or) the number which gets repeated in the set for maximum no of times.
Therefore, in the given set {3} repeats for 4 times which is maximum among all. Hence a true statement.

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