Which measurement fails to divide an observation set into equal segments ?
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Answer: B. Standard Deviations
Explanation
Positional measures divide sorted datasets into equal proportional segments. Standard deviation measures data dispersion rather than dividing datasets. Therefore standard deviation does not qualify as a positional partitioning metric. Positional measures include quartiles, deciles, percentiles, and the median. Quartiles divide data into four equal parts while deciles divide into ten. Dispersion metrics quantify variability rather than marking segment boundaries.
Economists use percentiles to analyze income distribution across populations. Test administrators use quartile rankings to evaluate student performance levels. Distinguishing positional measures from dispersion is essential in data analysis. Option A divides data into four equal quarters as positional measures. Option C divides data into one hundred equal percentile segments. Option D divides data into ten equal decile segments successfully.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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