IMO C should be the answer. Experts, please lemme know how a is the answer.

While I am not exactly sure of the math involved, logic would lead me to choose A. This is because if the median is $130k that does NOT mean that there must be a home with a value less than $130k. If you number the homes 1 through 15 (in increasing value order) the eighth home is the median and there is nothing that says homes 1-7 need to be priced less than $130k, BUT those homes cannot be priced higher than $130k (because $130k is the median). If you price those homes (1-7) all at $130k (their highest possible value) and then include the median (home number 8) at $130k as well that amounts to $1,040,000 which means the final 7 homes need to have an average price of ~$173k in order to make the mean of all 15 homes $150.

Again this isn't the exact math, but as you can see the answer looks to be A