To determine the most appropriate measure of center for the given data, let's first summarize the data more clearly. The pairs represent the number of occurrences for each value from 0 to 10:
- 0: 4 occurrences
- 1: 5 occurrences
- 2: 3 occurrences
- 3: 4 occurrences
- 4: 2 occurrences
- 5: 0 occurrences
- 6: 1 occurrence
- 7: 2 occurrences
- 8: 0 occurrences
- 9: 0 occurrences
- 10: 1 occurrence
To analyze the most appropriate measure of center:
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Mean: The mean can be influenced by extreme values or outliers, which may not provide an accurate representation of the central tendency for skewed data.
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Median: The median is the middle value when the data is ordered. It is less affected by outliers and skewed data, making it a better choice for non-symmetrical distributions.
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Mode: The mode is the value that occurs most frequently. It can be useful when one or more values have significantly higher frequencies.
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IQR (Interquartile Range): IQR is a measure of variability and does not represent a measure of center.
In this data, there are some values with a higher frequency (specifically values such as 1 and 0), indicating a potential skew. Since the data is somewhat skewed, the median would be the most appropriate measure of center because it provides a better indication of the central tendency without being affected by extreme values.
Therefore, the answer is:
Median
2 answers