You are trying to gauge how much you might need to spend to buy a house in a new locality. The data for the prices of the houses sold last year is available. The data shows some really expensive houses were sold in the locality and the price of no two houses seem to match in the sales data. What measures of central tendency are appropriate for the situation?

In this situation, both the median and the mode would be appropriate measures of central tendency.

The median is the middle value in a data set when the values are arranged in ascending or descending order. It is not affected by outliers or extreme values, such as the really expensive houses in this case. Therefore, the median would give you a good idea of the typical house price in the new locality.

The mode, on the other hand, is the value that appears most frequently in a data set. In this case, since no two houses have the same price, the mode would not be very useful.

The mean, or average, would not be an appropriate measure of central tendency in this case because it is sensitive to outliers or extreme values. The really expensive houses would skew the mean upwards, making it seem like the typical house price is higher than it actually is.

In this situation, both the median and the mode would be appropriate measures of central tendency.

The median is the middle value in a data set when the values are arranged in ascending or descending order. It is not affected by outliers or extreme values, such as the really expensive houses in the locality. Therefore, the median would give you a good idea of the typical house price in the locality.

The mode, on the other hand, is the value that appears most frequently in a data set. Given that no two houses seem to match in price in the sales data, the mode might not be very informative in this case.

The mean, or average, might not be an appropriate measure in this case because it can be heavily influenced by outliers or extreme values. In this case, the really expensive houses could significantly increase the mean, making it a less accurate representation of the typical house price.