Answer:
The correct values are 7 and 8 respectively.
Step-by-step explanation:
We need to go through two steps before we can find out both values.
1. Trial-and-error with values
We know that x and y need to be greater than 6 and less than 10.
Therefore: , , and .
Now, insert two random values that fit within the inequalities (x = 7, y = 8).
Our new sequence is .
2. Check median and mean of data set
Now, using our new sequence, find the median.
Median is middle value of the data set, so our median is 7.
Now, find the mean of the data set.
Mean is the average of the sum of the data set, so:
Our mean and median are equal, so we can infer that and .