of the mean,median,and mode, which measure of center is most affected by outliers? explain your reasoning including an example with at least 10 data points .
write like a 6th grader
The measure of center most affected by outliers is the mean. This is because the mean is calculated by adding up all the numbers in a data set and then dividing by the total number of numbers. If there are one or two very large or very small numbers in the data set, they can greatly change the mean.
For example, let's say we have the following data set: 2, 4, 6, 8, 10, 15, 20, 25, 30, 35. The mean of this data set is 14.5. However, if we add an outlier like 100 to the data set, the mean becomes 34.5, which is a big difference from the original mean.
On the other hand, the median and mode are not as affected by outliers because they are not as influenced by extreme values. The median is the middle number when the numbers are put in order, and the mode is the number that appears most frequently. These measures of center are more resistant to outliers because they do not take into account the actual values of the data set, only their order or frequency.