Statistical Sciences 2035 Lecture Notes - Lecture 3: Average Absolute Deviation, Standard Deviation, Interval Estimation
6 Oct 2017
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We are to compare four factories that are producing 600-ml bottles of water. We need to determine which factory is doing the best job. We take a sample of 5 bottles of water from a selected hour for each factory. The actual amount of water poured in the 600-ml bottle is given below: Factory 1 and 4 meet the target of 600 ml on average. Step 2: look at how spread out the data is. Factor 1 has a smaller spread of data than factory 4, they are more likely to hit the target of 600 ml. Must also look at the spread of the data in addition to the center. Main measures of spread: range = highest observation lowest observation, not very useful; ignores bulk of the observations, a simple measure of the spread of a distribution is called the interquartile range: Calculate the deviation from the mean for each observation in your data and sum:
