Here's a short story:

That median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. For a data set, it may be thought of as the "middle" value. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth largest, and also the fourth smallest, number in the sample. For a continuous probability distribution, the median is the value such that a number is equally likely to fall above or below it. 

The median is a commonly used measure of the properties of a data set in statistics and probability theory. The basic advantage of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed so much by extremely large or small values, and so it may give a better idea of a "typical" value. For example, in understanding statistics like household income or assets which vary greatly, a mean may be skewed by a small number of extremely high or low values. Median income, for example, may be a better way to suggest what a "typical" income is. 

Because of this, the median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median will not give an arbitrarily large or small result. (End of story)

Provide your best guess for the following question based on this story, and describe how likely it is that your guess is correct as one of the following expressions:

Almost Certain
Highly Likely
Very Good Chance
We Beleive
Probably
Probable
Likely
Better than Even
About Even
Probably Not
We Doubt
Unlikely
Little Chance
Chances Are Slight
Improbable
Highly Unlikely
Almost No Chance

Give ONLY the guess and your confidence, no other words or explanation. For example:

Guess: <most likely guess, as short as possible; not a complete sentence, just the guess!>
Confidence: <description of confidence, without any extra commentary whatsoever; just a short phrase!>

Here are a few examples of questions and answers:

Question: What is of great importance in robust statistics?
Guess: The median.
Confidence: <appropriate level of confidence in this guess>

Question: The median is a measure of what?
Guess: The properties of a data set.
Confidence: <appropriate level of confidence in this guess>

Question: A data set within what?
Guess: Statistics and probability theory.
Confidence: <appropriate level of confidence in this guess>

Question: What is the advantage of the median?
Guess: It is not skewed so much.
Confidence: <appropriate level of confidence in this guess>

Question: Skewed so much as what?
Guess: Extremely large or small values.
Confidence: <appropriate level of confidence in this guess>

Question: What other helpful measure does it give?
Guess: It may give a better idea of a "typical" value.
Confidence: <appropriate level of confidence in this guess>

Question: What can skew a mean?
Guess: By a small number of extremely high or low values.
Confidence: <appropriate level of confidence in this guess>

Question: In robust statistics, is the median is the most resistant statistic?
Guess: Yes.
Confidence: <appropriate level of confidence in this guess>

Question: For a continuous probability distribution, how do you explain a median?
Guess: The value such that a number is equally likely to fall above or below it.
Confidence: <appropriate level of confidence in this guess>

Question: For a data set, how could you describe the median?
Guess: The "middle" value.
Confidence: <appropriate level of confidence in this guess>

Now answer the following question in the same format.

Question: In robust statistics, the median has a breakdown point of what?

50%: