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Two real estate agents advertise their average home sale price as $280,000. Agent A has a mean of $280,000 and a median of $380,000. Agent B has a mean sale price of $280,000 and a median of $280,000. What must be true about the distributions of home sale prices for the agents?

Agent A's distribution of home prices must be symmetrical.
Agent B's distribution must be skewed left.
Agent A's distribution of home prices must be skewed left.
Agent B's distribution must be symmetrical.
Agent A's distribution of home prices must be skewed right.
Agent B's distribution must be symmetrical.
Agent A's distribution of home prices must be symmetrical.
Agent B's distribution must be skewed right.

Respuesta :

mommysorr
Since the mean and median are equal for both agents, it indicates that the distributions are symmetric. Therefore, Agent A's distribution must be symmetrical, and Agent B's distribution must also be symmetrical. Thus, the correct answer is:

Agent A's distribution of home prices must be symmetrical.
Agent B's distribution must be symmetrical.

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