The measure of variability that is most likely to be affected by an outlier is the "Range". Here's why:

1. The range is simply the difference between the highest and the lowest value in the data set. So, if there is an outlier (a value that is significantly higher or lower than the rest of the data), it will directly affect the calculation of the range.

2. The standard deviation and variance are also affected by outliers, but they involve all data points in their calculations, not just the highest and lowest. Therefore, a single outlier might have less impact on these measures compared to the range.

3. The mean is not a measure of variability, but a measure of central tendency. While it can be affected by outliers, it's not a measure of how spread out the data is, so it's not the correct answer to this question.

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The measure of variability that is most likely to be affected by an outlier is the "Range". Here's why:

1. The range is simply the difference between the highest and the lowest value in the data set. So, if there is an outlier (a value that is significantly higher or lower than the rest of the data), it will directly affect the calculation of the range.

2. The standard deviation and variance are also affected by outliers, but they involve all data points in their calculations, not just the highest and lowest. Therefore, a single outlier might have less impact on these measures compared to the range.

3. The mean is not a measure of variability, but a measure of central tendency. While it can be affected by outliers, it's not a measure of how spread out the data is, so it's not the correct answer to this question.

Knowee AI · Accepted Answer

The measure of variability that is most likely to be affected by an outlier is the "Range". Here's why:

1. The range is simply the difference between the highest and the lowest value in the data set. So, if there is an outlier (a value that is significantly higher or lower than the rest of the data), it will directly affect the calculation of the range.

2. The standard deviation and variance are also affected by outliers, but they involve all data points in their calculations, not just the highest and lowest. Therefore, a single outlier might have less impact on these measures compared to the range.

3. The mean is not a measure of variability, but a measure of central tendency. While it can be affected by outliers, it's not a measure of how spread out the data is, so it's not the correct answer to this question.

Question 4Which measure of variability is most likely to be affected by an outlier?1 pointStandard deviationMeanVarianceBRange

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