Mean (“average” typically) is the sum divided by the count. Aka: total earnings divided by number of earners. Gives an estimate of what you would “expect” a person selected at random to earn, but can be skewed a bit when for instance one person makes a $1million, and ten others make closer to $10thousand, the mean will be much higher than you’d intuit.
Median is “the earnings of the middle person”, so if you order everyone by how much they make, then count to the middle, whatever that person makes is the median. On its own, doesn’t tell you a lot of information, but combined with mean it can help paint a bigger picture.
In your example, median is well below average (mean). That means that the middle person (as well as half of everyone, since they make less than that person) makes less than the average. This suggest that there’s a lot of wealth at the very top, pulling the average up. An example would be sometime like: (1,1,2,3,33) the average is 8 (40/5), but the median is 2. That top end outlier pulls the average up, and more than half of everyone makes less than that average.
A median looks at all the entries, lines them up in order, and takes the middle one. There will always be 50% of entries above the median, and 50% below.
An average (arithmetic mean) takes all the values, adds them together and divides by the total number of entries.
The median doesn’t care about values, the mean doesn’t care about entries.
If we have the set 1, 2, 3, 4, 5, 6, 7, 8, 1000
The median is 5, but the mean is 115. Only one entry is above 115, but there are 4 entries above 5 and 4 below 5.
The median and mean will be the same number if you have either a normal distribution, a uniform distribution, or and infinite number of entries.
A median looks at all the entries, lines them up in order, and takes the middle one. There will always be 50% of entries above the median, and 50% below.
An average (arithmetic mean) takes all the values, adds them together and divides by the total number of entries.
The median doesn’t care about values, the mean doesn’t care about entries.
If we have the set 1, 2, 3, 4, 5, 6, 7, 8, 1000
The median is 5, but the mean is 115. Only one entry is above 115, but there are 4 entries above 5 and 4 below 5.
The median and mean will be the same number if you have either a normal distribution, a uniform distribution, or and infinite number of entries.
A median looks at all the entries, lines them up in order, and takes the middle one. There will always be 50% of entries above the median, and 50% below.
An average (arithmetic mean) takes all the values, adds them together and divides by the total number of entries.
The median doesn’t care about values, the mean doesn’t care about entries.
If we have the set 1, 2, 3, 4, 5, 6, 7, 8, 1000
The median is 5, but the mean is 115. Only one entry is above 115, but there are 4 entries above 5 and 4 below 5.
The median and mean will be the same number if you have either a normal distribution, a uniform distribution, or and infinite number of entries.
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