5Use 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 −2.1. z-score-3.0-2.9-2.8-2.7-2.6-2.5-2.4-2.3-2.2-2.1Percentile0.130.190.260.350.470.620.821.071.391.79z-score-2.0-1.9-1.8-1.7-1.6-1.5-1.4-1.3-1.2-1.1Percentile2.282.873.594.465.486.688.089.6811.5113.57z-score-1.0-0.9-0.8-0.7-0.6-0.5-0.4-0.3-0.2-0.1Percentile15.8718.4121.1924.2027.4330.8534.4638.2142.0746.02a. The percentage of data items that lie below the z-score is ___%.b. The percentage of data items that lie above the z-score is ___%

To calculate the percentage of data items in a normal distribution with a given z-score: Percentages are the percentile with the percentage symbol %. Above the z-score: The percentile corresponding to the -z-score. Below the z-score: The percentile corresponding to the +z-score Given z-score: z = -2.1 Above the z-score: That is, percentile corresponding to -2.1 which is 1.79 This means the percentage is 1.79% Below the z-score: For z = 2.1 corresponding percentile is (100-1.79 = 98.21) Thus, percentile corresponding to 2.1 is 98.21. This means the percentage is 98.21%

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 −2.1.

z-score	-3.0	-2.9	-2.8	-2.7	-2.6	-2.5	-2.4	-2.3	-2.2	-2.1
Percentile	0.13	0.19	0.26	0.35	0.47	0.62	0.82	1.07	1.39	1.79
z-score	-2.0	-1.9	-1.8	-1.7	-1.6	-1.5	-1.4	-1.3	-1.2	-1.1
Percentile	2.28	2.87	3.59	4.46	5.48	6.68	8.08	9.68	11.51	13.57
z-score	-1.0	-0.9	-0.8	-0.7	-0.6	-0.5	-0.4	-0.3	-0.2	-0.1
Percentile	15.87	18.41	21.19	24.20	27.43	30.85	34.46	38.21	42.07	46.02

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

b. The percentage of data items that lie above the z-score is ___%

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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