make this: The measure of center that is most affected by outliers is the mean. Outliers are extreme values that are significantly higher or lower than the rest of the data points, causing the mean to be pulled in the direction of the outlier.
For example, let's consider the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 100.
The mean of this data set is calculated by adding all the numbers together and dividing by the total number of data points:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 100) / 10 = 45.5
So, the mean of this data set is 45.5. However, this mean is heavily influenced by the outlier, 100. If we remove the outlier from the data set, the mean becomes:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) / 9 = 5.89
As we can see, the mean without the outlier is significantly different from the mean with the outlier, demonstrating that the mean is most affected by outliers. a tiny bit shorter
Outliers, which are extreme values significantly higher or lower than the rest of the data points, heavily impact the mean, which is the measure of center most affected by outliers. For example, in a dataset of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 100, the presence of the outlier 100 pulls the mean towards it. Without the outlier, the mean drastically changes from 45.5 to 5.89, highlighting the influence outliers have on the mean.
The answer is clear and correct. The answer shows that the student used problem-solving skills and reasoning. All work is shown or explained.
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make this: The measure of center that is most affected by outliers is the mean. Outliers are extreme values that are significantly higher or lower than the rest of the data points, causing the mean to be pulled in the direction of the outlier.
For example, let's consider the following data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 100.
The mean of this data set is calculated by adding all the numbers together and dividing by the total number of data points:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 100) / 10 = 45.5
So, the mean of this data set is 45.5. However, this mean is heavily influenced by the outlier, 100. If we remove the outlier from the data set, the mean becomes:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) / 9 = 5.89
As we can see, the mean without the outlier is significantly different from the mean with the outlier, demonstrating that the mean is most affected by outliers. a tiny bit shorter
The answer is clear and correct. The answer shows that the student used problem-solving skills and reasoning. All work is shown or explained.