Answer:
14
Step-by-step explanation:
If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.
The given values are:
19, -3, 7, 1, 8, 18, 42
Let's write all the values in increasing order.
-3, 1, 7, 8, 18, 19, 42
There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.
Since the median must be 11, the value we need to add is x which must be greater than 8.
-3, 1, 7, 8, x, 18, 19, 42
(8 + x)/2 = 11
8 + x = 22
x = 14
Answer: 14
