2Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of−0.85. z-score-1.00-0.95-0.90-0.85-0.80-0.75-0.70Percentile15.8717.1118.4119.7721.1922.6624.20z-score-0.65-0.60-0.55-0.50-0.45-0.40-0.35Percentile25.7827.4329.1230.8532.6434.4636.32z-score-0.30-0.25-0.20-0.15-0.10-0.050.00Percentile38.2140.1342.0744.0446.0248.0150.00 a. The percentage of data items that lie below the z-score is ______%.b. b. above a z-score of −0.85: ________.

Answered: Use the table below to find the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of

−0.85.

z-score	-1.00	-0.95	-0.90	-0.85	-0.80	-0.75	-0.70
Percentile	15.87	17.11	18.41	19.77	21.19	22.66	24.20
z-score	-0.65	-0.60	-0.55	-0.50	-0.45	-0.40	-0.35
Percentile	25.78	27.43	29.12	30.85	32.64	34.46	36.32
z-score	-0.30	-0.25	-0.20	-0.15	-0.10	-0.05	0.00
Percentile	38.21	40.13	42.07	44.04	46.02	48.01	50.00

a. The percentage of data items that lie below the z-score is ______%.

b. b. above a z-score of −0.85: ________.

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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