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Which measure of center better represents the data
Statistics
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Answer
The median better represents the data.
Explanation:
The data has a skewness of -0.798, indicating a negative (left) skew. In skewed distributions, the mean is pulled in the direction of the skew by extreme values, making it less representative of the typical value. The median, which is the middle value when the data is ordered, is less affected by outliers and skewness, making it a more robust measure of central tendency for skewed data.
- Mean: 2.765
- Median: 3
- Mode: 4
Since the distribution is negatively skewed (Mean < Median < Mode), the median is the most appropriate measure of center.
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