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Statistical Standard Scores and Standard Normal Distributions — The “Z-Table”

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2016-03-26 21:04:56
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Statistics All-in-One For Dummies
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Statistics All-in-One For Dummies
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Statistics are handy when it comes to making predictions, but to make accurate predictions, you need to know how reliable your results are. The following Z- table shows standard scores and percentiles in a standard distribution:

Standard Score Percentile Standard Score Percentile Standard Score Percentile
–3.4 0.03% –1.1 13.57% +1.2 88.49%
–3.3 0.05% –1.0 15.87% +1.3 90.32%
–3.2 0.07% –0.9 18.41% +1.4 91.92%
–3.1 0.10% –0.8 21.19% +1.5 93.32%
–3.0 0.13% –0.7 24.20% +1.6 94.52%
–2.9 0.19% –0.6 27.42% +1.7 95.54%
–2.8 0.26% –0.5 30.85% +1.8 96.41%
–2.7 0.35% –0.4 34.46% +1.9 97.13%
–2.6 0.47% –0.3 38.21% +2.0 97.73%
–2.5 0.62% –0.2 42.07% +2.1 98.21%
–2.4 0.82% –0.1 46.02% +2.2 98.61%
–2.3 1.07% 0.0 50.00% +2.3 98.93%
–2.2 1.39% +0.1 53.98% +2.4 99.18%
–2.1 1.79% +0.2 57.93% +2.5 99.38%
–2.0 2.27% +0.3 61.79% +2.6 99.53%
–1.9 2.87% +0.4 65.54% +2.7 99.65%
–1.8 3.59% +0.5 69.15% +2.8 99.74%
–1.7 4.46% +0.6 72.58% +2.9 99.81%
–1.6 5.48% +0.7 75.80% +3.0 99.87%
–1.5 6.68% +0.8 78.81% +3.1 99.90%
–1.4 8.08% +0.9 81.59% +3.2 99.93%
–1.3 9.68% +1.0 84.13% +3.3 99.95%
–1.2 11.51% +1.1 86.43% +3.4 99.97%

About This Article

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About the book author:

Deborah J. Rumsey, PhD, is an Auxiliary Professor and Statistics Education Specialist at The Ohio State University. She is the author of Statistics For Dummies, Statistics II For Dummies, Statistics Workbook For Dummies, and Probability For Dummies.

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