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Statistics and Data Analysis
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14. A value has z = -1.25, mean μ = 60, and σ = 8. Find x.
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6. Values: 2, 4, 6, 8. Find the sample variance (s²).
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19. For X = {2, 4, 6, 8} and Y = {1, 3, 5, 7}, compute the sample covariance.
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1. A dataset has values: 12, 15, 18, 20, 25. Find the mean.
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4. Values: 4, 6, 8, 10, 12. Find the population variance (σ²).
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5. Values: 4, 6, 8, 10, 12. Find the population standard deviation (σ).
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11. Given Q1 = 20 and Q3 = 32, compute the lower outlier fence using 1.5×IQR.
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7. Values: 10, 12, 14, 16, 18. Find the range.
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13. A value x = 78 comes from a distribution with mean μ = 70 and standard deviation σ = 4. Find the z-score.
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12. Given Q1 = 20 and Q3 = 32, compute the upper outlier fence using 1.5×IQR.
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