By definition yes. The median is the number which is exactly in the middle of a set of numbers. The first quartile is the point where 25% of the numbers are to the left, and 75% of the numbers are to the right.
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57 is not right
Because the IQR excludes values which are lower than the lower quartile as well as the values in the upper quartile.
When a distribution is skewed to the right, the mean is greater than median.
Yes.
The upper quartile of a set of data is a value such that a quarter of the observations are greater than that value. The lower quartile is similarly defined as the value such that a quarter of the observations are less than that value.