Question

State, with an​ explanation, whether the​ mean, median, or mode gives the best description of the following average. The average height of people in this country The mode is best as there will be many people of exactly the same height. The median is best as the middle height in a list will give the correct answer.. The mean is best becuse the distribution is symmetric with a single peak

Answer 1

The mean is the better method.

Explanation:

The best way to meassure the average height is throught mean. The mean of a sample is the average of that sample's height, and it will be a good estimate for the population's average height.

The mode just finds the most frequent height. Even tough the most frequent height will influence the average height, knowing only what height is the most frequent one doesnt give you enough informtation about how the height is centrally distributed.

As for the median, it is fine to use the median of a sample to estimate the median of the population, but if you use the median to estimate the average height you may have a few issues. For example, if you include babies in your population, the babies will push the average height down a lot and they are far below te median height. This, as a result, will give you a median height of a sample way above the average height of the population, becuase median just weights every person's height the same, while average will weight extreme values more, in the sense that a small proportion of extreme values can push the average far from the median.