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 Median Mode Mean [-5+(-4)+(-3)+(-2)+(-1) ]/12=

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

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Made by. Abhi Shah Ananth Dandibhotla Karthik Yegnesh