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# Report in al1[1]

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### Report in al1[1]

1. 1. Report in AL1 Reported by Jang Yoseb
2. 2. Definition of Median
3. 3. Median • In statistics and probability theory, the median is the numerical value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. • The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one (e.g., the median of {3, 5, 9} is 5).
4. 4. Examples of Median
5. 5. Example 1 Find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)
6. 6. Example 2 • Look at these numbers: - 3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29 • If we put those numbers in order we have: - 3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56 • There are fifteen numbers. Our middle number will be the eighth number: - 3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56 The median value of this set of numbers is 23.
7. 7. Another Examples Example: There are 45 numbers - 45 plus 1 is 46, then divide by 2 and you get 23 • So the median is the 23rd number in the sorted list.
8. 8. Example: There are 66 numbers - 66 plus 1 is 67, then divide by 2 and you get 33.5 • 33 and a half? That means that the 33rd and 34th numbers in the sorted list are the two middle numbers. • So to find the median: add the 33rd and 34th numbers together and divide by 2.