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Measures of Central Tendency By Abhi Shah, Ananth Dandibhotla, Karthik Yegnesh
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Definition A measure that tells us what the middle point in a set of data Indicates where the middle of information is located Examples are mean, median, and mode Mean is the average of a set of data. Median is the middle value in a set of numbers in chronological order. The mode is the number that appears the most frequently in a set of data.
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Examples -5 -4 -3 -2 -1 0 1 2 3 4 5 5 Median Mode Mean [-5+(-4)+(-3)+(-2)+(-1)+0+1+2+3+4+5+5]/12= 0.416666666666666666666666667
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Data Needed A set of numerical data You need to be able to identify a mean, median, and mode from your data.
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Real World Data Data: {2,3,3,4,4,4,4,5,5,5,5,5,5,5,5,7,7,7,7,7,9,9,9} Mean=sum of all the elements of a set/ number of elements Median=middle number in a set of data in numerical order Mode= number that appears most frequently in a set of data.
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Problem If a random number is inserted in the set of data, which measure of central tendency would be least affected? Mode
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Advantages Measures of central tendency give you a lot of information about the average of a set of data. It expresses the most amount of data in the least amount of numbers.
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Disadvantages There is no visual approach for this type of data. It doesn't inform you about the outliers in a set of data. It doesn’t give you a very specific understanding of your data.
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Visuals
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Bibliography "Benchmark 13." Ms Skochcom RSS. N.p., n.d. Web. 19 Feb. 2013.. <http://msskoch.com/unit-3-data-analysis/benchmark-13 "Biostatistics for the Clinician." 1.3 Central Tendency. N.p., n.d. Web. 13 Feb. 2013..http://www.uth.tmc.edu/uth_orgs/educ_dev/oser/L1_3.HTM "Central Tendency." Wikipedia. Wikimedia Foundation, 02 July 2013. Web. 13 Feb. 2013. "LJHutchen Fine Band Instruments." LJHutchen Fine Band Instruments. N.p., n.d. Web. 13 Feb. 2013..http://www.ljhutchen.com/ "Strings Instruments, Violin, Violin Manufacturer, Violin Exporter, 4 String Violin, 5 String Violin." Strings Instruments, Violin, Violin Manufacturer, Violin Exporter, 4 String Violin, 5 String Violin. N.p., n.d. Web. 13 Feb. 2013..http://www.calmusical.com/violin.html
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Made by. Abhi Shah Ananth Dandibhotla Karthik Yegnesh
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