The measure of central tendency most affected by outliers pdf

Mean is the most commonly used measure of central tendency manikandan, 2011. Measures of central tendency are mean, median and mode. Mean, median and mode are measures of central tendency. A measure of center that is more resistant than the mean but still sensitive to. 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 mode is a good measure to use when you have categorical data. It is the only measure of central tendency that can be used for data measured in a nominal scale. 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. Mode is defined as the value that occurs most frequently in the data. Standard deviation hasalso been determined to be affected by outliers and. Explain the effect of outliers on the measures of central tendency for a.

What are commonly used measures of central tendency. The value that occurs most frequently in a set of data. How are measures of central tendency affected by outliers. 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.

The three most common are the arithmetic mean, the median and the mode. Which measure of central tendency best describes the data with and without the outlier. Weighted mean is calculated to compile a sort of report card for. You just add up all of the values and divide by the number of observations in your dataset. C which measure of central tendency is most affected by an outlier. What measure of central tendency would be most affected by. The mean is the measure of central tendency that is most affected by outliers. Lesson 4 measures of central tendency outline measures of a.

The mean is the arithmetic average, and it is probably the measure of central tendency that you are most familiar. The mean is the measure of central tendency most affected by outliers. Mean, the average, is the most popular measure of central tendency. In the data set below, the value 12 is much less than the other values in the set. Mean is the only measure of central tendency that is always affected by an outlier. Students will be able to assess the accuracy of measures of central tendency and variability in the presence of outliers.

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data. Which measure of central tendency is most affected if an. Effects of outliers chandler unified school district. The median on the other hand is less likely to be affect by outliers. The median is less affected by outliers and skewed data than the. The measures of central tendency and range are discussed below. The arithmetic mean is commonly referred to as average, and is commonly used to assign student grades. An oextreme value such as this is called an outlier. Usually the median and mode are not affected at all, but they could be if there were a lot of outliers. Weighted mean is calculated to compile a sort of report card for the website, analyzed from the point of view of the. Mean is the most commonly used measure of central tendency. Most students are familiar with these measures of central tendency, but there are several properties that may.

Describe how outliers affect measures of central tendency. Which measure of central tendency is most affected if an outlier is present. Discard the outlier, and then determine the mean, median, and mode. The mode is the most commonly occurring value in a distribution. Central tendency, and outliers teacher version subject level. Measures of central tendency and dispersion request pdf. Outliers are numbers in a data set that are vastly larger or smaller than the other values in the set. When outliers are present it is best to use the median as the measure of central. The mean is the measure of central tendency most likely to be affected by an extreme value outlier.