3. Describing Data Numerically

Which of the following statements about the mean of a continuous random variable is true?

What is the mean of the following list: $20$?

What is the mean score per question if you got $16$ questions correct out of $20$ on a test?

Given the data set: $5$, $10$, $30$, $50$, what is the mean of the data?

Given a normal distribution with mean $\mu$ and standard deviation $\sigma$, what is the mean of the distribution?

Suppose a population consists of the following values: $1$, $3$, $5$, and $7$. What is the mean of this population?

Suppose you have two data plots: Plot 1 is symmetric, and Plot 2 is the same as Plot 1 but with one large outlier added to the right. How do the $\mathrm{mean}$ and $\mathrm{median}$ change from Plot 1 to Plot 2?

Suppose you have four distributions: A is symmetric and centered at $0$, B is right-skewed with most values above $0$, C is left-skewed with most values below $0$, and D is uniform between $-5$ and $5$. Which of these distributions is likely to have the largest mean?