Formula For Standard Error In Physics
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and math community on the planet! Everyone who loves science is here! Standard error Oct 4, absolute error 2007 #1 neoking77 [SOLVED] Standard error 1. The problem statement, all variables and given/known data A student determined the following values for the wave relative error speed; calculate the average value of the wave speed and its standard error 50.8, 50.6, 51.8, 52.0, 50.9, 51.6, 51.3, 51.5 2. Relevant equations avg wave speed = 51.3 3. The attempt at a solution how do i get the http://labs.physics.dur.ac.uk/skills/skills/standarderror.php standard error? the answer is (51.3+/-0.2) i am aware that Se = standard deviation / sqrt(number of data) but i'm not sure how to get standard deviation. any help would be greatly appreciated, thank you. neoking77, Oct 4, 2007 Phys.org - latest science and technology news stories on Phys.org •Game over? Computer beats human champ in ancient Chinese game •Simplifying solar cells with a new mix of materials •Imaged 'jets' reveal cerium's post-shock inner strength Oct 4, 2007 https://www.physicsforums.com/threads/standard-error.188918/ #2 danago Gold Member Standard deviation is given by: [tex] \sigma = \sqrt {\frac{1}{n}\sum\limits_{i = 0}^n {(x_i - \overline x )^2 } } [/tex] So what you can do is find the difference between each of the scores and the mean (which you calculated as 51.3) and then square those differences, and then add them all. Finally, divide it by the number of scores you have, and find the square root of it all. Last edited: Oct 4, 2007 danago, Oct 4, 2007 Oct 4, 2007 #3 danago Gold Member Another form of the standard deviation equation is: [tex] \sigma = \sqrt {\frac{1}{n}\sum\limits_{i = 0}^n {x_i ^2 - \overline x ^2 } } [/tex] So another way is to add the squares of each score, then divide it by the total number of scores, then subtract the square of the mean, and then square root it all. danago, Oct 4, 2007 Oct 4, 2007 #4 neoking77 thank you very much! neoking77, Oct 4, 2007 (Want to reply to this thread? Log in or Sign up here!) Show Ignored Content Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook Have something to add? Acoustic ‘beats’ from Mismatched Musical Frequencies Spectral Standard Model and String Compactifications Why Supersymmetry? Because of Deligne’s theorem. Interview with a Physicist: David Hestenes Ohm’s Law Mellow Precession in Special and General Relativity Grandpa Chet’s En
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Help Suggestions Send Feedback Answers Home All Categories Arts & Humanities Beauty & Style Business & Finance Cars & Transportation Computers & Internet Consumer Electronics Dining Out Education & Reference Entertainment & Music Environment Family & Relationships Food & Drink Games & Recreation Health Home & Garden Local Businesses News & Events Pets Politics & Government Pregnancy & Parenting Science & Mathematics Social Science Society & Culture Sports Travel Yahoo Products International Argentina Australia Brazil Canada France Germany India Indonesia Italy Malaysia Mexico New Zealand Philippines Quebec Singapore Taiwan Hong Kong Spain Thailand UK & Ireland Vietnam Espanol About About Answers Community Guidelines Leaderboard Knowledge Partners Points & Levels Blog Safety Tips Science & Mathematics Mathematics Next How to calculate standard error? given the data set 50.6, 59.8, 50.9, 51.3, 51.5, 51.6, 51.8, 52.0 how do you calculate the standard error? the answer is found to be (along with average wave speed) (51.3 +/- 0.2)m/s the 0.2 is the standard error, but i have no idea how u get it. any help would be appreciated, thanks. 4 following Report Abuse Are you sure you want to delete this answer? Yes No Sorry, something has gone wrong. Trending Now Annette Bening BASSET HOUND Mozilla Firefox Bill Clinton Jill Stein Psoriatic Arthritis Symptoms Norman Reedus Subaru Outback Miranda Lambert Toyota Highlander Answers Best Answer: The easiest way to get the mean and standard deviation of a set of numbers like this is to calculate the sum of each number, then to square each number and calculate the sum of the squares. (Incidentally, the second number should be 50.8 to get the reported average.) Once you have done that, your mean (average) will be sum / n, where sum is the sum of the numbers and n is how many numbers you have. If sumsq is the sum of the squares, the standard deviation will be stddev = sqrt ((sumsq - sum^2 / n) / (n - 1)) and the standard error will be stddev / (sqrt (n)) I subtracted 50 from each num