Percentage of scores greater than 148 Use the normal distribution of IQ scores, which has a mean of 100 and a standard deviation of 16. Use Table 1 to find the indicated quantities. Note: Table 1 shows standard scores from -3.5 to +3.5. In these problems, for standard scores above 3.5, use a percentile of 99.99%; for all standard scores below -3.5, use a percentile of 0.01%.

Data From Table 1:-

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TABLE 1 Standard Standard Scores and Percentiles for a Normal Distribution (cumulative values from the left) Standard Standard Standard score score score % score % -3.5 0.02 -1.0 15.87 0.0 50.00 1.1 86.43 -3.0 0.13 -0.95 1711 0.05 51.99 1.2 88.49 -2.9 0.19 -0.90 18.41 0.10 53.98 1.3 90.32 -2.8 0.26 -0.85 19.77 0.15 55.96 1.4 91.92 -2.7 0.35 -0.80 21.19 0.20 57.93 1.5 93.32 -2.6 0.47 -0.75 22.66 0.25 59.87 1.6 94.52 -2.5 0.62 -0.70 24.20 0.30 61.79 1.7 95.54 -2.4 0.82 -0.65 25.78 0.35 63.68 1.8 96.41 -2.3 1.07 -0.60 27.43 0.40 65.54 1.9 97.13 -2.2 1.39 -0.55 29.12 0.45 67.36 2.0 97.72 -2.1 1.79 -0.50 30.85 0.50 69.15 2.1 98.21 -2.0 2.28 -0.45 32.64 0.55 70.88 2.2 98.61 -1.9 2.87 -0.40 34.46 0.60 72.57 2.3. 98.93 -1.8 3.59 -0.35 36.32 0.65 74.22 2.4 99.18 -1.7 4.46 -0.30 38.21 0.70 75.80 2.5 99.38 -1.6 5.48 -0.25 40.13 0.75 77.34 2.6 99.53 -1.5 6.68 -0.20 42.07 0.80 78.81 2.7 99.65 -1.4 8.08 -0.15 44.04 0.85 80.23 2.8 99.74 -1.3 9.68 -0.10 46.02 0.90 81.59 2.9 99.81 -1.2 11.51 -0.05 48.01 0.95 82.89 3.0 99.87 -1.1 13.57 0.0 50.00 1.0 84.13 3.5 99.98