Question

The value of one score in a distribution is changed from X = 20 to X = 30. Which measure(s) of central tendency is (are) certain to be changed?

Question 34 options:

	the mean
	the median
	the mean and the median
	the mode
	cannot be determined from information given

Answer 1

The correct answer option is the first one i.e. the mean. If the value of one score in a certain distribution changes from (X = 20 to X = 30), the mean is said to be changed. Mean is basically the average of the score. It is calculated by the following formula – the total of numbers divided by the count of numbers.

Example: If the data includes 10, 20, and 30 – here the total is 60, so the mean or the average is calculated as 60 divided by 3 (10, 20, and 30). So, the mean is 20 (60 divided by 3).

So, if there is a change in distribution of statistical data, the mean is the one which changes among all other central tendencies.