question 1\n5 points\nthe value of one score in a distribution is changed from x = 20 to x = 30. which…

question 1\n5 points\nthe 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 change\na mode\nb median\nc mean\nd mean and median

question 1\n5 points\nthe 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 change\na mode\nb median\nc mean\nd mean and median

Answer

Brief Explanations:

The mode is the most frequently - occurring value and may not change if the changed score is not the mode. The median is the middle value when scores are ordered; if the position of the changed score doesn't affect the middle value(s), it won't change. The mean is calculated as $\frac{\sum_{i = 1}^{n}X_i}{n}$. Changing one score changes the sum $\sum_{i = 1}^{n}X_i$, thus the mean will change.

Answer:

C. Mean