204 3.1 measures of typical

# 204 3.1 measures of typical - 3.1 MEASURES OF CENTRAL...

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3.1 MEASURES OF CENTRAL LOCATION (TYPICAL) In a previous lecture it was noted that data can be labeled as categorical or quantatitive. We need to also note that the data we obtain may represent all the observations possible; we call this a population. If the data represents only a fraction (usually a small fration) of the possible observations then it is a sample. For example, all the last names of students at a university is a population if we define our universe as the collection (with repetitions) of last names of students at the university. On the other hand, the last names of students at a university is only a sample of the last names in the country. If the name Smith represents 2% of of our data we can say that 2% of the names at the univeristy are Smith and this is just a description or summary of our data. On the other hand we may estimate from this data that 2% of the people in the United States are named Smith and this is an inference which we are not certain about. One approach to summarizing the data is with statistics known as neasures of central location. These are neasures which in some sense describe the middle of a distribution and include the mean , median, and mode . Mean - the mean of n numbers is defined as their sum divided by how many numbers are added For example, lets assume that a husband and wife (Barney and Betty) have just moved to the community of Red Rock and are interested in buying a house. They want to know

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204 3.1 measures of typical - 3.1 MEASURES OF CENTRAL...

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