What is the median?
The middle value once you line the numbers up in order. Half the data sits below it and half above, so it marks the centre of the set.
// maths › Statistics
The middle value of a sorted list — or the mean of the two middle values when the count is even.
median = middle value of the sorted list
The middle value once you line the numbers up in order. Half the data sits below it and half above, so it marks the centre of the set.
There is no single middle, so you take the two middle values and average them. For 1, 2, 3, 4 the middles are 2 and 3, giving a median of 2.5.
Because it ignores how extreme the outliers are. House prices and incomes are usually reported as medians, since a few huge values would drag the mean to a figure that represents almost nobody.
Yes, sorting is the whole point. The calculator sorts them for you, but the median is meaningless until the values are in order.
Yes, when the data is symmetric. The further apart they drift, the more skewed your data is, which is a useful clue in itself.