The measure of central tendency most affected by outliers pdf

Writing describe how removing an outlier from a data set affects the mean. Mean is one of the most basic and important things in statistics 3, median and mode are the two commonly used measures of central tendency 4. The three most common are the arithmetic mean, the median and the mode. Central tendency, and outliers teacher version subject level. Mean, the average, is the most popular measure of central tendency. Usually the median and mode are not affected at all, but they could be if there were a lot of outliers. Measures of central tendency are mean, median and mode. The measures of central tendency may be utilized to identify the single value. Which measure of central tendency best describes the data with and without the outlier. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data. These outliers are causing the mean to increase, but if we have outliers to the left of the graph these outliers are dragging down the mean. Mode is defined as the value that occurs most frequently in the data. The mean is the arithmetic average, and it is probably the measure of central tendency that you are most familiar.

Measures of central tendency and dispersion request pdf. Most students are familiar with these measures of central tendency, but there are several properties that may. Which measure of central tendency is most affected if an outlier is present. The median is less affected by outliers and skewed data than the.

Students will be able to assess the accuracy of measures of central tendency and variability in the presence of outliers. Mean, median and mode are measures of central tendency. Describe how outliers affect measures of central tendency. Discard the outlier, and then determine the mean, median, and mode. How are measures of central tendency affected by outliers. A measure of center that is more resistant than the mean but still sensitive to. It is the only measure of central tendency that can be used for data measured in a nominal scale. The mean is the measure of central tendency most affected by outliers. What are commonly used measures of central tendency. The mean is the measure of central tendency most likely to be affected by an extreme value outlier. What measure of central tendency would be most affected by. The mean, median, and mode are measures of central tendency.

Ari obtained the heights of the boys in his brothers junior tae kwan do class. Weighted mean is calculated to compile a sort of report card for. Students will be able to assess the utility of outliers, specifically that they may illuminate. Mean is the only measure of central tendency that is always affected by an outlier. The mode of a data set is the value or values that occur most often. The median on the other hand is less likely to be affect by outliers. The mode is a good measure to use when you have categorical data. The value that occurs most frequently in a set of data.

The measures of central tendency and range are discussed below. Effects of outliers chandler unified school district. In the data set below, the value 12 is much less than the other values in the set. Mean is the most commonly used measure of central tendency manikandan, 2011. Mean is the most commonly used measure of central tendency.

C which measure of central tendency is most affected by an outlier. Explain the effect of outliers on the measures of central tendency for a. Which measure of central tendency is most affected if an. Outliers are numbers in a data set that are vastly larger or smaller than the other values in the set. That is, outliers will generally not affect the median and it will not. The mean is the measure of central tendency that is most affected by outliers. An oextreme value such as this is called an outlier. Weighted mean is calculated to compile a sort of report card for the website, analyzed from the point of view of the. Standard deviation hasalso been determined to be affected by outliers and. The mode is the most commonly occurring value in a distribution.