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Effect of Additional Data and Outliers

This topic covers the effect of additional data and outliers on a data set. We also learn how to best describe a data set.

Topic: Effect of Outliers on Mean, Median, and Mode

  • Some descriptions of a set of data are called the mean, median, and mode

  • The mean is the sum of all the items divided by the number of items in the set. Sometimes the mean is also called an average

  • The median is the middle value when the data are in numerical order, or the mean of the two middle values if there are an even number of items

  • The mode is the value or values that occur most often. There may be more than one mode for a data set. When all values occur an equal number of times, the data set has no mode

  • An outlier is a value in a set that is very different from the other values. An outlier significantly affects the mean. The mean may not realistically describe the data set due to the outlier

Topic: Describe a Data Set

  • Sometimes one or two data values can greatly affect the mean, median, or mode. When one of these values is affected like this, you should choose a different value to describe the data set

  • Some data sets do not contain numbers.  When it does not contain numbers, the only way to describe a data is with the mode

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