Concept explainers
Consider a sample x1, ... , xn with n even. Let
Then show that if n is odd and the two averages are calculated after excluding the median from each half, replacing n on the left with n − 1 gives the correct result. [Hint: Break the sum into two parts, the first involving observations less than or equal to the median and the second involving observations greater than or equal to the median.]
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Chapter 1 Solutions
Probability and Statistics for Engineering and the Sciences
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,