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 February 22nd, 2019, 12:46 PM #1 Newbie   Joined: Nov 2014 From: Deutschland Posts: 2 Thanks: 0 Mean of means - standard deviation of mean values Sorry if this has been asked numerous times and sorry if I describe it from an engineers point of view. Let us say I have N measurements and I calculate the mean value and the standard deviation. Okay. Now let us have M times N measurements. I could calculate now the mean value of the whole number of values and calculate the standard deviation. I additionally could calculate the mean value of the standard deviations of the M measurement series but I could - and this is my question about - calculate the standard deviation of the mean value. My question: How does this value help me? What does this value describe? For me this value seems to correct the measurement in a very strong way because a factor of 1/sqrt(M) is significant. How do I have to understand the standard deviation of the means? Doesn't this mean that I can simply subdivide a dataset of X numbers to N*M numbers and then find a pretty precise mean value and in this sense a pretty reliable measurement result? Can I profit from this trick? February 23rd, 2019, 11:01 AM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,552 Thanks: 1402 Tags deviation, means, standard, values Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post John Travolski Probability and Statistics 1 July 14th, 2016 01:21 PM tjthedj Probability and Statistics 3 December 18th, 2014 07:09 AM green21317 Probability and Statistics 1 May 30th, 2014 12:23 PM Axel Algebra 2 April 28th, 2011 03:25 AM nonen Advanced Statistics 0 August 12th, 2008 04:31 AM

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