Question 14

Explanation

Given sorted data: $1, 1, 2, x, 10, y, 17, 18$ (total $8$ data points).

The mean and median of the data are $9$.

Finding the Value of x from Median

Since there are $8$ data points (even), the median is the average of the 4th and 5th data points.

Finding the Value of y from Mean

The total of all data divided by the number of data equals the mean.

Calculating the Average of the Last 4 Numbers

Complete data: $1, 1, 2, 8, 10, 15, 17, 18$.

The last 4 numbers are: $10, 15, 17, 18$.

Comparing P and Q

The value $P = 15$ and $Q = 15$.

Therefore, $P = Q$.