3. Describing Data Numerically

What is the median of the following numbers: $1$, $3$, $8$?

What is the median of the data set containing only the value $0$?

Why is the $\mathrm{median}$ considered a resistant measure of center in statistics?

In statistics, what does the $\mathrm{median}$ represent in a set of numbers?

Given the data set: $1$, what is the median?

Extending Concepts

Golf The distances (in yards) for nine holes of a golf course are listed.

336 393 408 522 147 504 177 375 360

d. Use your results from part (c) to explain how to quickly find the mean and the median of the original data set when the distances are converted to inches.

The box plot below represents a data set with the following five-number summary: minimum = $2$, first quartile = $5$, median = $8$, third quartile = $12$, maximum = $15$. What is the value of the median?

Given the ordered data set $3$, $5$, $7$, $x$, $12$, $14$, if the median is $9$, what is the value of $x$?