The given problem is in Gujarati. Here is its translation:

Problem: Given the numbers 16, 15, 17, 16, 15, $x$, and 19, the mean (average) of 17 and 14 is 15. Find the values of $x$ and the median.

Let's break down the problem step-by-step:

1. To find $x$:

The problem implies we need to compute the average (mean) of 17 and 14, which is given as 15.

This equation is incorrect based on standard mean calculation:

$\text{Mean of 17 and 14} = \frac{17 + 14}{2} = \frac{31}{2} = 15.5$

There seems to be some discrepancy. Could you confirm if the numbers are correct, or clarify further details about $x$?

2. To find the median:

The set of numbers is: 16, 15, 17, 16, 15, $x$, and 19.

• We first arrange the numbers in ascending order (including $x$) to calculate the median.

• If you can confirm $x$'s value or correct details, I can proceed with that calculation.

Let me know if you have any questions or corrections! Here are some follow-up questions:

1. Is the mean calculation of 17 and 14 supposed to be 15?
2. Should the value of $x$ be calculated based on some other condition?
3. Would you like to proceed with finding the median once $x$ is clarified?
4. Is this part of a larger series of related problems?
5. Would you like more examples on how to calculate means and medians?

Tip: When dealing with means, always sum the given numbers first and then divide by the number of values in the set.