A.True✓ Correct
True
The median is the middle value of a data set when it is arranged in numerical order.
Let's take an example data set: `S = {1, 3, 6, 8, 9}`.
This set is already in order. The middle value is 6. So, the median is 6.
Now, let's increase each number in the list by 10 to create a new set, `S`.
`S` = {1+10, 3+10, 6+10, 8+10, 9+10} = {11, 13, 16, 18, 19}`.
The new set is also in order. The middle value is now 16. So, the new median is 16.
The original median was 6, and the new median is 16. The new median is the original median + 10.
This is because adding a constant value to every number in a set does not change their order, it simply shifts the entire set along the number line. The middle value will also be shifted by that same constant amount. Therefore, the statement is **True**.