The measure of center affected by outliers is the mean. Outliers are data points that are significantly different from the rest of the data and can greatly skew the mean in one direction or another.
For example, let's consider the following 10 data points: 1, 2, 3, 4, 5, 6, 7, 8, 9, 20. The mean of this data set is calculated by adding all the numbers together and dividing by 10, which equals 6.5. However, if we have an outlier, such as the number 100 for example, the mean would now be 18.7, which is significantly higher than the rest of the data points and is not a true representation of the central tendency of the data set.
In contrast, the median and mode are not as heavily influenced by outliers. The median is the middle value when the data is arranged in numerical order, so outliers don't have as much impact on this measure of center. The mode is the most frequently occurring value in the data set, so unless the outlier is the most frequent value, it will not affect the mode.
of the mean median and mode which measure of center affected by outliners explain your reasoning including an example with at least 10 data points
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