Use the table to find the standard score and percentile of the following data values. a. A data value 3 standard deviations below the mean. b. A data value 1.6 standard deviations below the mean. c. A data value 0.2 standard deviation above the mean. Click the icon to view the standard scores and percentiles for a normal distribution. a. The standard score is, and the percentile is (Type integers or decimals.) Standard Scores and Percentiles for a Normal Distribution z-score Percentile z-score Percentile z-score - 3.5 0.02 - 1.0 0.0 -3.0 0.13 0.05 -2.9 0.19 0.10 -2.8 0.15 -2.7 0.20 -2.6 0.25 -2.5 0.30 -2.4 0.35 -2.3 0.40 -2.2 0.45 -2.1 0.50 -2.0 0.55 -1.9 0.60 -1.8 0.65 -1.7 0.70 -1.6 0.75 - 1.5 0.80 -1.4 0.85 - 1.3 0.90 0.95 1.0 -1.2 -1.1 0.26 0.35 0.47 0.62 0.82 1.07 1.39 1.79 2.28 2.87 3.59 4.46 5.48 6.68 8.08 9.68 11.51 13.57 -0.95 -0.90 -0.85 -0.80 -0.75 -0.70 -0.65 -0.60 -0.55 -0.50 -0.45 -0.40 -0.35 -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 -0.0 15.87 17.11 18.41 19.77 21.19 22.66 24.20 25.78 27.43 29.12 30.85 32.64 34.46 36.32 38.21 40.13 42.07 44.04 46.02 48.01 50.00 Percentile z-score 50.00 1.1 51.99 53.98 55.96 57.93 59.87 61.79 63.68 65.54 67.36 69.15 70.88 72.57 74.22 75.80 77.34 78.81 80.23 81.59 82.89 84.13 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 NN! 2.8 2.9 3.0 3.5 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98