The measure of central tendency that is most affected by an outlier in the data set is the Mean.

Here's why:

1. The Mean: The mean is calculated by adding all the numbers in the data set and then dividing by the number of values in the set. An outlier can significantly shift the value of the mean.

2. The Median: The median is the middle value when a data set is ordered from least to greatest. An outlier does not affect the median as much because it is only concerned with the middle value.

3. The Mode: The mode is the number that appears most frequently in a data set. An outlier does not affect the mode because it is only concerned with the frequency of values.

4. The Midpoint: The midpoint is the value halfway between the maximum and minimum values in the data set. An outlier can affect the midpoint, but not as much as the mean.

So, the mean is the most affected by an outlier in the data set.

Question

The measure of central tendency that is most affected by an outlier in the data set is the Mean.

Here's why:

1. The Mean: The mean is calculated by adding all the numbers in the data set and then dividing by the number of values in the set. An outlier can significantly shift the value of the mean.

2. The Median: The median is the middle value when a data set is ordered from least to greatest. An outlier does not affect the median as much because it is only concerned with the middle value.

3. The Mode: The mode is the number that appears most frequently in a data set. An outlier does not affect the mode because it is only concerned with the frequency of values.

4. The Midpoint: The midpoint is the value halfway between the maximum and minimum values in the data set. An outlier can affect the midpoint, but not as much as the mean.

So, the mean is the most affected by an outlier in the data set.

Knowee AI · Accepted Answer

The measure of central tendency that is most affected by an outlier in the data set is the Mean.

Here's why:

1. The Mean: The mean is calculated by adding all the numbers in the data set and then dividing by the number of values in the set. An outlier can significantly shift the value of the mean.

2. The Median: The median is the middle value when a data set is ordered from least to greatest. An outlier does not affect the median as much because it is only concerned with the middle value.

3. The Mode: The mode is the number that appears most frequently in a data set. An outlier does not affect the mode because it is only concerned with the frequency of values.

4. The Midpoint: The midpoint is the value halfway between the maximum and minimum values in the data set. An outlier can affect the midpoint, but not as much as the mean.

So, the mean is the most affected by an outlier in the data set.

Question 1Which measure of central tendency is the most affected by an outlier in the data set?1 pointMedianModeMeanMidpoint

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