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Suppost we have a dataset as below: (Value,Frequency) pairs: (1,2), (2,4), (3,6), (4,8), (5,10)

Can we say that this data is normally distributed, or have a normal distribution for this dataset?

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There seems to be no connection with any normal. The rlationship is linear. – André Nicolas Jun 19 '12 at 13:46
They look like a straight line, not a bell curve ... – Neal Jun 19 '12 at 13:50
They don't look at all like a normal distribution, but it is just possible that these results could come from a sample from a normal distribution (very unlikely, I would think) - you could do a hypothesis test to see if it is so unlikely as to be "negligible". – Old John Jun 19 '12 at 13:52
I do agree with you, and it is what I think. But in Gaussian Naive Bayes, it is simply supposed that each feature has a gaussian distribution on our class. I am wondering how we can assume that without even observing the data and suppose that all the features can have a Gaussian distribution... – AKH Jun 19 '12 at 14:03

Easiest way to check is to plot this on a graph. For a normal distribution it should give you a curve with the middle almost perfect symmetry.

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