Which of the following does not measure dispersion?
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Answer: B. 50th Percentile
Explanation
The 50th percentile represents the median, dividing a sorted dataset into two equal halves. Measures of central tendency locate the middle of a distribution rather than its spread. Dispersion metrics quantify variability, whereas the median pinpoints the exact center. Percentiles divide ordered datasets into one hundred equal parts for analysis. The median is unaffected by extreme outliers located far out in distribution tails. Standard deviation and range are classic examples of true statistical dispersion measures.
Real estate reports frequently cite median home prices to represent typical market values. Income distributions use percentiles to understand wage disparities across different populations. Medical researchers report median recovery times when patient data is heavily skewed. The range calculates absolute dispersion by subtracting minimum values from maximum values. Inter-quartile range measures dispersion by finding the distance between third and first quartiles. Variance computes average squared deviations from the mean to quantify overall data spread.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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