Question

question 30 points 1

which of the following is true in a symmetric distribution?

mean = median = mode

mean > median > mode

Explanation:

Define a symmetric distribution

Using the Symmetric Distribution knowledge point
A symmetric distribution is a probability distribution where the left side of the distribution mirrors the right side.

Compare measures of center

Using the Measures of Center knowledge point
In a perfectly symmetric, unimodal distribution, the mean, median, and mode are all located at the exact center of the distribution.

$$ \text{mean} = \text{median} = \text{mode} $$

Answer:

• mean = median = mode (Correct answer)
• mean > median > mode