Measures of Central Tendency
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Transcript of Measures of Central Tendency
Measures of Central Tendency
By Abhi Shah, Ananth Dandibhotla, Karthik Yegnesh
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.
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
Data Needed
A set of numerical data
You need to be able to identify a mean, median, and mode from your data.
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.
Problem
If a random number is inserted in the set of data, which measure of central tendency would be least affected?
Mode
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.
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.
Visuals
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>.
Made by.
Abhi Shah
Ananth Dandibhotla
Karthik Yegnesh