Binning data points

*To*: mathgroup at smc.vnet.net*Subject*: [mg125091] Binning data points*From*: Niles <niels.martinsen at gmail.com>*Date*: Tue, 21 Feb 2012 06:12:21 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi Say I have a data set (x_i, y_i) such as of the form { {4.4077, 8.41282*10^-7}, {9.39964, 3.3636*10^-6}, {14.3781, 7.56237*10^-6}, {19.3462, 0.00001343}, {24.3073, 0.0000209557}, ... } The first coordinate is time, the second a weight. The sum of the weights equal 1, so I am dealing with a probability density function. I want to bin all the data points such that data points with their x- coordinates within some range delta_x are binned together, and the total y-coordinate of that bin should be the sum of all the y's of the data points in the respective bin. So basically something like a histogram. How can I do this? Best regards. Niles.