Determine the median for the following grouped data:

If the range of a data set is 45 and a value 10 is added to each data point in the data set, what will be the new range?

The range of a data set was initially 120. If the maximum value is reduced by 10 and the minimum value is increased by 5, what will be the new range?

A set of 9 observations has a median of 18. If one more observation is added and it is 20, what will be the new median?

The mean of 8 numbers is 45. If each number is increased by 10%, what will be the new mean?

If the range of a data set is doubled, what happens to the standard deviation of the data set, assuming a linear transformation?

A data set originally has a range of 75. If all data points are increased by 25%, what will be the new range?

If the mode of a data set is 65, and all data points are divided by 5, what will be the new mode?

The mode of a data set is 72. If all data points are reduced by 8, what will be the new mode?

The mean of a set of 15 numbers is 20. If each number in the set is multiplied by 2 and then reduced by 5, what will be the new mean?