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Statistics and Data Analysis
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18. For X = {1, 2, 3} and Y = {2, 4, 6}, find the population covariance.
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15. Min = 40, Max = 90, and x = 55. Find the min-max normalized value x' in [0,1].
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8. For data: 5, 7, 8, 10, 12, 15, 18. Find Q1 (use median-of-halves method).
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16. Mean μ = 100, σ = 20, and x = 140. Find standardized value (z).
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2. Values: 7, 9, 10, 13, 16, 18. Find the median.
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9. For data: 5, 7, 8, 10, 12, 15, 18. Find Q3 (use median-of-halves method).
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20. A dataset has mean 50 and standard deviation 10. What proportion of data lies within 1 standard deviation if the distribution is approximately normal (Empirical rule)?
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3. Values: 3, 5, 5, 7, 9. Find the mode.
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10. For data: 5, 7, 8, 10, 12, 15, 18. Find IQR.
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17. Two variables have covariance cov(X,Y) = 18, σx = 6, σy = 3. Find Pearson correlation r.
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