Question

question 9 1 pts imagine we had a distribution where the mean and median are 10. which of the following is most likely to be true? the distribution is symmetrical since the mean and median are both 10, there must be at least 10 scores in the distribution since the median and mean are the same, the mode also must be equal to 10 all of the above must be true

Explanation:

1. Analyze the first option: In a symmetrical distribution (like the normal distribution), the mean, median, and mode are equal (or close). If mean and median are both 10, the distribution is likely symmetrical.
2. Analyze the second option: The median is the middle value. For example, a distribution with two scores (10, 10) has mean = 10 and median = 10, so "at least 10 scores" is false.
3. Analyze the third option: Mean and median being 10 doesn't force mode to be 10. A distribution could have mean = median = 10 but mode different (e.g., a bimodal distribution with peaks not at 10 but balanced to have mean/median 10).
4. Analyze the fourth option: Since the second and third options are false, "all of the above" is false.

Answer:

A. The distribution is symmetrical