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…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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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