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Question: Let's say the set is 1,2,3,4.
Is the mode all of them, since the highest frequency is one, or is there no mode whatsoever?
I brought this to question since the definition uses "frequency," and it would appear that they are all equally frequent and thus all modes? I'm not sure of the official accepted interpretation.
DOES ANYONE KNOW THE ANSWER?
Do we really need to say commute with when discussing the linearity of mean, mode, and median? It does mean what we want to say, but it will convey it only to readers who don't need this article. Septentrionalis 21:23, 5 May 2006 (UTC)
I don't understand why in "a sample from a continuous distribution [...] each value will occur precisely once." I'm not particularly familiar with statistics (I didn't know what a 'mode' was before reading this article), so this may just reflect confusion on my part, but I don't see why sample from a continuous distribution will contain every element only once (although it seems to me that it would do so with probabililty 1, i.e., almost certainly). Could someone explain? Benja 13:23, 15 May 2006 (UTC)
observe the following data 1,3,4,5,7,9,12,13,15,15,15,15,15,16,17,19,22,24,24,25,25,26,26,27,30,30,31,32,32,33,33,34,35,35,36,36,37,,39,40,40,45,45,46,47,48,49,49. class intervals freq. 0-10 6 10-20 10 20-30 8 30-40 14 40-50 9 according to the defination of the mode, 30-40 is the modal class. and the mode will lie in that interval. But if we look at the raw data then 15 is the mode. how do we resolve this contradiction ? Reeded 15:11, 28 March 2007 (UTC)reeded
Thanks for that! another hiccup! what happens if the data is given as a discontinuous data. do we make the intervals continuous, if so why? 59.180.85.146 06:30, 8 April 2007 (UTC)reeded13
thanks for that! 59.180.55.151 15:32, 11 April 2007 (UTC)reeded
My question is I have a set of 10 numbers with 44 and 93 appearing twice. Is the mode "44 and 93" or is it the average of the two, as calculated with "median" involving even numbers?
Thanks! LandOfIsrael 18:26, 15 August 2006 (UTC)
Hi. I would like to see a section on how to effectively compute the mode of a list of numbers. That would be useful. -- Spoon! 02:03, 9 February 2007 (UTC)
Compute the mode by three successive passes through the data list thus:
Start a separate count variable = 0 for each sample value and do
Start a frequency variable = 0 and do
At the end of Pass 3 the last remembered (i.e. stored) value is the mode. (With a little more thought, Pass 1 and 2 can be achieved in a single pass.) Cuddlyable3 07:48, 8 May 2007 (UTC)
(maxCnt, loMode, hiMode) := (0, NAN, NAN);
(cnt, last) := (0, NAN); for x ← sorted(data): if x ≠ last: if cnt = 0: skip; else if cnt > maxCnt: (maxCnt, loMode, hiMode) := (cnt, last, last); else if cnt = maxCnt: if last < loMode: loMode := last; end if if last > hiMode: hiMode := last; end if else: skip; end if (cnt, last) := (1, x); else: cnt := cnt+1; end if end for
if cnt = 0: skip; else if cnt > maxCnt: (maxCnt, loMode, hiMode) := (cnt, last, last); else if cnt = maxCnt: if last < loMode: loMode := last; end if if last > hiMode: hiMode := last; end if else: skip; end if
Can someone give an example of "Furthermore, like the mean, the mode of a probability distribution can be (plus or minus) infinity"? -- Rumping 00:07, 7 September 2007 (UTC)
Does anyone else think this section would fit better in average ? I propose moving it there with a link to it from here. Let me know what you think. Qwfp ( talk) 14:50, 22 February 2008 (UTC)
I think it belongs in a section on a central tenancy article. Central tendency currently redirects to average, which I think is a mistake because average is just one example of a measure of central tendency. Comparison logically belongs there. Jason Quinn ( talk) 01:34, 21 July 2008 (UTC)
On a more practical bent, elementary school texts are discussing the three concepts, "mode," "median," and "mean" together without even mentioning the "average" concept. What drew me to the mode article (and to the section on mode, mean, and median) was a basic exercise from my daughter's sixth grade math text that elicits answers regarding these three particular concepts. The exercise in her homework does not discuss the concept of "average" or use "mean" interchangeably with the former term. Additionally, from a layman's perspective, the concepts of "mean" or "average", "mode," and "median" are distinct concepts, not just different flavors of "average," and the most common use of "average" does not encompass either "mode" or "median". Otherwise, there would be confusion as to what, for example, the "average age" of a given population group was (i.e., is it the "mode," "median," or "mean"?). A more in-depth treatment of the subtle differences between various "tendencies" is best addressed elsewhere; the topic's breath is somewhat greater than what most people will be searching for. —Preceding unsigned comment added by 71.34.165.94 ( talk) 02:44, 26 August 2008 (UTC)
I find it unfortunate that this table uses a different data set for each example, and that the clarity and usefulness would be greatly improved if the same data set was used for each entry. I would like to edit it with the following data set: 1, 2, 2, 3, 4, 7, 9. This would give a mean of 4, a median of 3, and a mode of 2. -- Pdcurry ( talk) 23:31, 22 December 2009 (UTC)
Why isn't there a criticism section??? —Preceding unsigned comment added by 129.98.192.217 ( talk) 03:01, 25 October 2010 (UTC)
In the Wikipedia article we read "For samples, if it is known that they are drawn from a symmetric distribution, the sample mean can be used as an estimate of the population mode." I propose to change to: "For samples, if it is known that they are drawn from a symmetric unimodal distribution, the sample mean can be used as an estimate of the population mode." Otherwise, it fails for example for values 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, having mean 3.5 which is not a good estimate of the two modes 2 and 5. — Preceding unsigned comment added by 140.105.52.132 ( talk) 22:22, 21 March 2012 (UTC)
I texified the "Unimodal distributions" section under median, and found this similar section on this article. However, the two contradict each other. The media article claims that the difference between the mean and median are bounded by , whereas this article claims that it is .
Which one is correct?
Tebello TheWHAT!!?? 21:34, 18 March 2012 (UTC)
The comment(s) below were originally left at Talk:Mode (statistics)/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
Quite a reasonable article, though the language could perhaps be made simpler and flow better in places (i've just had a go at the first sentence). This isn't a complex concept and not as important as the mean or median in practice so i don't think the article needs to be any longer – if anything, it should be more concise. Qwfp ( talk) 15:00, 22 February 2008 (UTC) |
Last edited at 15:00, 22 February 2008 (UTC). Substituted at 20:06, 1 May 2016 (UTC)
I plan to remove the section Confidence interval for the mode with a single data point unless I hear an objection. There are at least three problems with this section:
Let me know if there is any objection to removing the entire section. Loraof ( talk) 15:46, 24 June 2017 (UTC)
From the lead:
Rather strange. A multimodal continuous case: several local maxima, possibly of different "heights". But multimodal discrete case: several local maxima of the same "height". Really so? Boris Tsirelson ( talk) 18:55, 26 June 2017 (UTC)
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An editor has identified a potential problem with the redirect
Math mode and has thus listed it
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1234qwer
1234qwer
4
05:20, 3 May 2022 (UTC)
Why not talk of "a mode" when no uniqueness assumption is in effect ? I find the current presentation misleading and i don't think there would be any problem with using the indefinite article throughout. Thank you. Plm203 ( talk) 11:00, 29 October 2023 (UTC)
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Question: Let's say the set is 1,2,3,4.
Is the mode all of them, since the highest frequency is one, or is there no mode whatsoever?
I brought this to question since the definition uses "frequency," and it would appear that they are all equally frequent and thus all modes? I'm not sure of the official accepted interpretation.
DOES ANYONE KNOW THE ANSWER?
Do we really need to say commute with when discussing the linearity of mean, mode, and median? It does mean what we want to say, but it will convey it only to readers who don't need this article. Septentrionalis 21:23, 5 May 2006 (UTC)
I don't understand why in "a sample from a continuous distribution [...] each value will occur precisely once." I'm not particularly familiar with statistics (I didn't know what a 'mode' was before reading this article), so this may just reflect confusion on my part, but I don't see why sample from a continuous distribution will contain every element only once (although it seems to me that it would do so with probabililty 1, i.e., almost certainly). Could someone explain? Benja 13:23, 15 May 2006 (UTC)
observe the following data 1,3,4,5,7,9,12,13,15,15,15,15,15,16,17,19,22,24,24,25,25,26,26,27,30,30,31,32,32,33,33,34,35,35,36,36,37,,39,40,40,45,45,46,47,48,49,49. class intervals freq. 0-10 6 10-20 10 20-30 8 30-40 14 40-50 9 according to the defination of the mode, 30-40 is the modal class. and the mode will lie in that interval. But if we look at the raw data then 15 is the mode. how do we resolve this contradiction ? Reeded 15:11, 28 March 2007 (UTC)reeded
Thanks for that! another hiccup! what happens if the data is given as a discontinuous data. do we make the intervals continuous, if so why? 59.180.85.146 06:30, 8 April 2007 (UTC)reeded13
thanks for that! 59.180.55.151 15:32, 11 April 2007 (UTC)reeded
My question is I have a set of 10 numbers with 44 and 93 appearing twice. Is the mode "44 and 93" or is it the average of the two, as calculated with "median" involving even numbers?
Thanks! LandOfIsrael 18:26, 15 August 2006 (UTC)
Hi. I would like to see a section on how to effectively compute the mode of a list of numbers. That would be useful. -- Spoon! 02:03, 9 February 2007 (UTC)
Compute the mode by three successive passes through the data list thus:
Start a separate count variable = 0 for each sample value and do
Start a frequency variable = 0 and do
At the end of Pass 3 the last remembered (i.e. stored) value is the mode. (With a little more thought, Pass 1 and 2 can be achieved in a single pass.) Cuddlyable3 07:48, 8 May 2007 (UTC)
(maxCnt, loMode, hiMode) := (0, NAN, NAN);
(cnt, last) := (0, NAN); for x ← sorted(data): if x ≠ last: if cnt = 0: skip; else if cnt > maxCnt: (maxCnt, loMode, hiMode) := (cnt, last, last); else if cnt = maxCnt: if last < loMode: loMode := last; end if if last > hiMode: hiMode := last; end if else: skip; end if (cnt, last) := (1, x); else: cnt := cnt+1; end if end for
if cnt = 0: skip; else if cnt > maxCnt: (maxCnt, loMode, hiMode) := (cnt, last, last); else if cnt = maxCnt: if last < loMode: loMode := last; end if if last > hiMode: hiMode := last; end if else: skip; end if
Can someone give an example of "Furthermore, like the mean, the mode of a probability distribution can be (plus or minus) infinity"? -- Rumping 00:07, 7 September 2007 (UTC)
Does anyone else think this section would fit better in average ? I propose moving it there with a link to it from here. Let me know what you think. Qwfp ( talk) 14:50, 22 February 2008 (UTC)
I think it belongs in a section on a central tenancy article. Central tendency currently redirects to average, which I think is a mistake because average is just one example of a measure of central tendency. Comparison logically belongs there. Jason Quinn ( talk) 01:34, 21 July 2008 (UTC)
On a more practical bent, elementary school texts are discussing the three concepts, "mode," "median," and "mean" together without even mentioning the "average" concept. What drew me to the mode article (and to the section on mode, mean, and median) was a basic exercise from my daughter's sixth grade math text that elicits answers regarding these three particular concepts. The exercise in her homework does not discuss the concept of "average" or use "mean" interchangeably with the former term. Additionally, from a layman's perspective, the concepts of "mean" or "average", "mode," and "median" are distinct concepts, not just different flavors of "average," and the most common use of "average" does not encompass either "mode" or "median". Otherwise, there would be confusion as to what, for example, the "average age" of a given population group was (i.e., is it the "mode," "median," or "mean"?). A more in-depth treatment of the subtle differences between various "tendencies" is best addressed elsewhere; the topic's breath is somewhat greater than what most people will be searching for. —Preceding unsigned comment added by 71.34.165.94 ( talk) 02:44, 26 August 2008 (UTC)
I find it unfortunate that this table uses a different data set for each example, and that the clarity and usefulness would be greatly improved if the same data set was used for each entry. I would like to edit it with the following data set: 1, 2, 2, 3, 4, 7, 9. This would give a mean of 4, a median of 3, and a mode of 2. -- Pdcurry ( talk) 23:31, 22 December 2009 (UTC)
Why isn't there a criticism section??? —Preceding unsigned comment added by 129.98.192.217 ( talk) 03:01, 25 October 2010 (UTC)
In the Wikipedia article we read "For samples, if it is known that they are drawn from a symmetric distribution, the sample mean can be used as an estimate of the population mode." I propose to change to: "For samples, if it is known that they are drawn from a symmetric unimodal distribution, the sample mean can be used as an estimate of the population mode." Otherwise, it fails for example for values 1, 2, 2, 2, 3, 4, 5, 5, 5, 6, having mean 3.5 which is not a good estimate of the two modes 2 and 5. — Preceding unsigned comment added by 140.105.52.132 ( talk) 22:22, 21 March 2012 (UTC)
I texified the "Unimodal distributions" section under median, and found this similar section on this article. However, the two contradict each other. The media article claims that the difference between the mean and median are bounded by , whereas this article claims that it is .
Which one is correct?
Tebello TheWHAT!!?? 21:34, 18 March 2012 (UTC)
The comment(s) below were originally left at Talk:Mode (statistics)/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.
Quite a reasonable article, though the language could perhaps be made simpler and flow better in places (i've just had a go at the first sentence). This isn't a complex concept and not as important as the mean or median in practice so i don't think the article needs to be any longer – if anything, it should be more concise. Qwfp ( talk) 15:00, 22 February 2008 (UTC) |
Last edited at 15:00, 22 February 2008 (UTC). Substituted at 20:06, 1 May 2016 (UTC)
I plan to remove the section Confidence interval for the mode with a single data point unless I hear an objection. There are at least three problems with this section:
Let me know if there is any objection to removing the entire section. Loraof ( talk) 15:46, 24 June 2017 (UTC)
From the lead:
Rather strange. A multimodal continuous case: several local maxima, possibly of different "heights". But multimodal discrete case: several local maxima of the same "height". Really so? Boris Tsirelson ( talk) 18:55, 26 June 2017 (UTC)
Hello fellow Wikipedians,
I have just modified one external link on Mode (statistics). Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
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This message was posted before February 2018.
After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than
regular verification using the archive tool instructions below. Editors
have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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Cheers.— InternetArchiveBot ( Report bug) 07:23, 3 February 2018 (UTC)
An editor has identified a potential problem with the redirect
Math mode and has thus listed it
for discussion. This discussion will occur at
Wikipedia:Redirects for discussion/Log/2022 May 3#Math mode until a consensus is reached, and readers of this page are welcome to contribute to the discussion.
1234qwer
1234qwer
4
05:20, 3 May 2022 (UTC)
Why not talk of "a mode" when no uniqueness assumption is in effect ? I find the current presentation misleading and i don't think there would be any problem with using the indefinite article throughout. Thank you. Plm203 ( talk) 11:00, 29 October 2023 (UTC)