Use the normal distribution of IQ scores, which has a mean of 130 and a standard deviation of 16, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity. Percentage of scores greater than 122 is %. Data TableStandard Scores and Percentiles for a Normal DistributionFull data set OStandard score%StandardScore- 3.00.130.153.98- 2.50.620.569.15- 22.280.981.59- 1.56.68184.13- 115.871.593.32- 0.918.41297.72- 0.530.852.599.38- 0.146.02399.8750.003.599.98

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MATLAB: An Introduction with Applications

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Use the normal distribution of IQ scores, which has a mean of 130 and a standard deviation of 16, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.

Percentage of scores greater than 122 is %.

Data Table
Standard Scores and Percentiles for a Normal Distribution
Full data set O
Standard score
%
Standard
Score
- 3.0
0.13
0.1
53.98
- 2.5
0.62
0.5
69.15
- 2
2.28
0.9
81.59
- 1.5
6.68
1
84.13
- 1
15.87
1.5
93.32
- 0.9
18.41
2
97.72
- 0.5
30.85
2.5
99.38
- 0.1
46.02
3
99.87
50.00
3.5
99.98

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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