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1. Which of the three measures of central tendency is most easily
distorted by a few very large or very small scores?
a. The mode
b. The mean
c. The median
d. They are all equally vulnerable to distortion from atypical
scores.



Answer :

Final answer:

The mean is most easily distorted by extreme scores, while the median is a more robust measure of central tendency.


Explanation:

The mean is the measure of central tendency most easily distorted by a few very large or very small scores. It is highly influenced by outliers, which can significantly skew the result.

For example, if a set of scores is 4, 18, 18, 19, 19, 19, 19, 19, 20, 20, the mean is 17.5. However, if the lowest score (4) is removed, the mean increases substantially to 19.

In contrast, the median is less affected by extreme values, making it a more reliable measure in the presence of atypical scores.


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