Talk:Averages/Arithmetic mean: Difference between revisions
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Why is it required that an arbitrary result, 0, be returned when the input is empty? --[[User:Kevin Reid|Kevin Reid]] 22:57, 14 August 2009 (UTC) |
Why is it required that an arbitrary result, 0, be returned when the input is empty? --[[User:Kevin Reid|Kevin Reid]] 22:57, 14 August 2009 (UTC) |
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:I suppose we have to define something. From the [[wp:arithmetic mean|Wikipedia page]], the mean is defined as "the sum from i=1 to n ...", so the mean of an empty set of data is undefined. The problem could have specified Inf or nil or anything. (However, it seems the [http://www.simplyhired.com/a/salary/search/q-Empty+Set average salary of the empty set] is US$24,000 :/ ) --[[User:Glennj|glennj]] 19:46, 27 August 2009 (UTC) |
:I suppose we have to define something. From the [[wp:arithmetic mean|Wikipedia page]], the mean is defined as "the sum from i=1 to n ...", so the mean of an empty set of data is undefined. The problem could have specified Inf or nil or anything. (However, it seems the [http://www.simplyhired.com/a/salary/search/q-Empty+Set average salary of the empty set] is US$24,000 :/ ) --[[User:Glennj|glennj]] 19:46, 27 August 2009 (UTC) |
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:I second this question. The decision that an empty list should return a value of 0 is completely arbitary and lacks rationale. It might as well return 6 or a googol or pi. It would be better if it returned some undefined value or if the function definition were improved to specify the value that would be returned if the input array is empty. --[[User:Eliasen|Eliasen]] 08:11, 15 March 2012 (UTC) |
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Revision as of 08:11, 15 March 2012
Why is it required that an arbitrary result, 0, be returned when the input is empty? --Kevin Reid 22:57, 14 August 2009 (UTC)
- I suppose we have to define something. From the Wikipedia page, the mean is defined as "the sum from i=1 to n ...", so the mean of an empty set of data is undefined. The problem could have specified Inf or nil or anything. (However, it seems the average salary of the empty set is US$24,000 :/ ) --glennj 19:46, 27 August 2009 (UTC)
- I second this question. The decision that an empty list should return a value of 0 is completely arbitary and lacks rationale. It might as well return 6 or a googol or pi. It would be better if it returned some undefined value or if the function definition were improved to specify the value that would be returned if the input array is empty. --Eliasen 08:11, 15 March 2012 (UTC)