What does this say about the sensitivity of the median to rounding or grouping in the data?

When there is rounding or grouping, the median can be highly sensitive to small change.
When there is rounding or grouping, the median is not sensitive to small changes.
When there is rounding or grouping, the median is only sensitive to large changes.

Question

What does this say about the sensitivity of the median to rounding or grouping in the data?

When there is rounding or grouping, the median can be highly sensitive to small change.
When there is rounding or grouping, the median is not sensitive to small changes.    
When there is rounding or grouping, the median is only sensitive to large changes.

raffle_snaffle · Answer

I have the previous answer for the question before this one, but when you change the value of a median does it make a small change or large change or no change at all.

raffle_snaffle · Answer

@AloneS

raffle_snaffle · Answer

@Daniellelovee

daniellelovee · Answer

@mathmate I can't help now sorry but he can help you for sure :)

mathmate · Answer

The median is know to be not sensitive to extreme values, such as outliers.
Since it is the middle value of the data set, it is affected by rounding and grouping if the middle value is affected.  It is, however, not $sensitive$ to these changes.