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data - Calculate mean of values in bins


Problem description: I have a list of $\{x,y\}$ pairs. I'd like to divide $x$ into equal[*] bins, say $bx_1, bx_2, \ldots$, calculate $\left$ for every bin and then plot the bin values versus the means. I.e., plot $bx_i$ versus $\left_i$ with ListPlot[].


Question: I've already done it manually, but I was wondering whether:



  1. exists a builtin function in Mathematica that does what I want.


  2. exists a builtin function that I could use in my own implementation (e.g., HistogramList[]?).


[*] Bins with the same interval. Equally spaced intervals.




EDIT: Largely off-topic, but in R it turns out to be very easy with the fields package:


library('fields')
df <- read.table('my.dat') # V1 -> off-axis distance, V2 -> energy
st <- stats.bin(x=df$V1, y=df$V2, N=100)
df2 <- as.data.frame(st$stats["mean",])


# Plot mean energy for every distance bin
# EDIT: Actually I should plot against `centers` of `st`, but anyway.
names(df2) <- c('mean.energy')
plot(df2$mean.energy, type="s",
xlab="Off-axis distance (mm)", ylab="Mean Energy (MeV)")

enter image description here




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