The measure of variation that is most easily affected by extreme scores is the Range (option a).

Here's why:

1. The Range is simply the difference between the highest and the lowest score in a data set. Therefore, if there is an extreme score (either very high or very low), it will directly affect the calculation of the range.

2. Variance (option b) and Standard Deviation (option d) are also affected by extreme scores, but they involve more complex calculations that take into account all scores in the data set, not just the highest and lowest. Therefore, a single extreme score may have less impact on these measures than on the range.

3. The Inter-quartile range (option c) is the range of the middle 50% of scores in a data set. It is less affected by extreme scores because it only considers the middle half of the scores, not the highest and lowest scores.

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The measure of variation that is most easily affected by extreme scores is the Range (option a).

Here's why:

1. The Range is simply the difference between the highest and the lowest score in a data set. Therefore, if there is an extreme score (either very high or very low), it will directly affect the calculation of the range.

2. Variance (option b) and Standard Deviation (option d) are also affected by extreme scores, but they involve more complex calculations that take into account all scores in the data set, not just the highest and lowest. Therefore, a single extreme score may have less impact on these measures than on the range.

3. The Inter-quartile range (option c) is the range of the middle 50% of scores in a data set. It is less affected by extreme scores because it only considers the middle half of the scores, not the highest and lowest scores.

Knowee AI · Accepted Answer

The measure of variation that is most easily affected by extreme scores is the Range (option a).

Here's why:

1. The Range is simply the difference between the highest and the lowest score in a data set. Therefore, if there is an extreme score (either very high or very low), it will directly affect the calculation of the range.

2. Variance (option b) and Standard Deviation (option d) are also affected by extreme scores, but they involve more complex calculations that take into account all scores in the data set, not just the highest and lowest. Therefore, a single extreme score may have less impact on these measures than on the range.

3. The Inter-quartile range (option c) is the range of the middle 50% of scores in a data set. It is less affected by extreme scores because it only considers the middle half of the scores, not the highest and lowest scores.

Which of the following measures of variation easily affected by the extreme scores?*1 pointa. Rangeb. c. Variancec. Inter-quartile ranged. d. Standard deviation

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