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Mode and median are not averages, just mean is. Mode: "Like the statistical mean and median, the mode is a way of expressing, in a single number, important inf

Mode and median are not averages, just mean is. Mode: "Like the statistical mean and median, the mode is a way of expressing, in a single number, important information about a random variable or a population. The numerical value of the mode is the same as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions." [1] [1] http://en.m.wikipedia.org/wiki/Mode_(statistics) http://en.m.wikipedia.org/wiki/Mode_(statistics)

pzxc 11y ago
I'm pretty sure that mode and median are considered averages. Average: "In colloquial language, an average is the sum of a list of numbers divided by the number of numbers in the list. In mathematics and statistics, this would be called the arithmetic mean. However, the word average may also refer to the median, mode, or other central or typical value. In statistics, these are all known as measures of central tendency." [1] [1] https://en.wikipedia.org/wiki/Average https://en.wikipedia.org/wiki/Average
albedoa 11y ago
Your own link calls mode an average, and the quote you provided says nothing about it not being an average. I'm not sure what you are trying to demonstrate with it. https://en.wikipedia.org/wiki/Mode_(statistics)#Comparison_of_mean.2C_median_and_mode https://en.wikipedia.org/wiki/Mode_(statistics)#Comparison_o...
- sologoub 11y ago
  The quote clearly states that mode coincides with the mean (arithmetic average) and median (mid point of a distribution) in perfectly normally distributed populations. Therefore, mode is not the same as average in most cases, as perfect normal distribution is not that common. Mode is the most commonly occurring value in distribution. According to some schools of thought, a distribution can have multiple modes.
EliRivers 11y ago
Mode and median are not averages, just mean is. No other way to put it; you are simply wrong. I could direct you to reference after reference, citation after citation, but it's clear from your other comments here that you're not willing to accept any reference or citation we make.
- sologoub 11y ago
  Why not at least try? I'd like to see something that is from a statistics or math source that does not resort to "colloquial" distortion to justify such use. And note, I didn't down vote you in spirit of promoting a healthy discussion, you instead have, so who's really unwilling to hear opposing opinions?
  - EliRivers 11y ago
    The best flavour of ice-cream is a matter of opinion. This is not.

pzxc 11y ago

I'm pretty sure that mode and median are considered averages. Average: "In colloquial language, an average is the sum of a list of numbers divided by the number of numbers in the list. In mathematics and statistics, this would be called the arithmetic mean. However, the word average may also refer to the median, mode, or other central or typical value. In statistics, these are all known as measures of central tendency." [1] [1] https://en.wikipedia.org/wiki/Average https://en.wikipedia.org/wiki/Average

albedoa 11y ago

Your own link calls mode an average, and the quote you provided says nothing about it not being an average. I'm not sure what you are trying to demonstrate with it. https://en.wikipedia.org/wiki/Mode_(statistics)#Comparison_of_mean.2C_median_and_mode https://en.wikipedia.org/wiki/Mode_(statistics)#Comparison_o...

sologoub 11y ago
The quote clearly states that mode coincides with the mean (arithmetic average) and median (mid point of a distribution) in perfectly normally distributed populations. Therefore, mode is not the same as average in most cases, as perfect normal distribution is not that common. Mode is the most commonly occurring value in distribution. According to some schools of thought, a distribution can have multiple modes.

EliRivers 11y ago

Mode and median are not averages, just mean is. No other way to put it; you are simply wrong. I could direct you to reference after reference, citation after citation, but it's clear from your other comments here that you're not willing to accept any reference or citation we make.

sologoub 11y ago
Why not at least try? I'd like to see something that is from a statistics or math source that does not resort to "colloquial" distortion to justify such use. And note, I didn't down vote you in spirit of promoting a healthy discussion, you instead have, so who's really unwilling to hear opposing opinions?
- EliRivers 11y ago
  The best flavour of ice-cream is a matter of opinion. This is not.