Luka Petrović 69/2012 1/12

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma) The formula is easy: it is the square root of the Variance. So now you ask, "What is the Variance?" 2/12

The Variance is average of the squared differences from the Mean. 3 simple steps to calculate the Variance: 1.Calculate the Mean (the simple average of the numbers) 2.Then for each number: subtract the Mean and square the result 3.Then work out the average of (2) *Reminder: we will root this value to get Standard Deviation! 3/12

You and your friends have just measured the heights of your dogs (in millimeters): The heights (at the shoulders) are: 600mm, 470mm, 170mm, 430mm and 300mm. 4/12

The mean (average) height is 394 mm. 5/12

Now we calculate each dog's difference from the Mean: Then square them: Maxeler part 6/12

And the Standard Deviation is just the square root of Variance: Standard Deviation: σ = √21,704 = = 147 (to the nearest mm) 7/12

Now, we will do this using Maxeler… 8/12

Kernel code Final graph 9/12

Correct execution! Data: Random float values in range Running on MaxCompilerVM-2015, MaxIDE (Eclipse for Maxeler) 10/12

Milutinovic, V., et al, Guide to DataFlow SuperComputing, Springer, Milutinovic, V., editor, Advances in Computers: DataFlow, Elsevier, Milutinovic, V. et al, Paradigm Shift in SuperComputing: DataFlow vs ControlFlow, Journal of Big Data, /12

Maxeler is fun and we hope we will get more of these: 1.Tutorials 2.Development tools 3.Community help 12/12