Mean, Standard Deviation, and Margin of Error
View the Lesson | MATHguide homepage Updated March 21st, 2018


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Given: Sentences were chosen at random from Muhammad ibn Musa al-Khwarizmi's book The Compendious Book on Calculation by Completion and Balancing. The number of words in the sentences were counted. This is the result.

121665537102220225
52118229161061712314
Problem:Use the data above to: a) determine the mean and sample standard deviation, b) calculate a 95% margin of error, c) determine the respective confidence interval.

 
 Mean (x̄) =

Sample Standard Deviation (s) =

Margin of Error =

The confidence interval is [, ]