# Homework Help: How to correctly average over multiple data sets

1. Jun 18, 2012

### knowlewj01

1. The problem statement, all variables and given/known data

In a particular Magneto-Optic Kerr Effect (MOKE) experiment I have taken data for 20 hysteresis loops in which Kerr Voltage is measured as a function of Applied Field. I wish to obtain an average curve. The problem is this; Even though the settings for each loop were identical (magnetic field set to scan the range ±150 Oe in steps of 2 Oe), the recorded data for the applied field differ slightly between loops and the step size isn't always exactly 2Oe. How should I average them?

2. Relevant equations

3. The attempt at a solution

To start with, I cut the data down so it's in the range ±60 Oe (Past this point it is saturated so no more changes occur). I made sure the starting point for the field was in roughly the same point (about 59.5±0.5 Oe). Then I took the avg value and stdev of each successive data point (Field and Kerr Voltage). Is this an acceptable way of doing this? I thought about maybe binning the data into small bins, around 1Oe in size. Does anyone know what to do in this sort of situation?