Question #2 A normal distribution has a mean of 45 (μ = 45) and a standard deviation of 10. At what percentile rank does a score of 53 have? Question #3 In the same distribution in Question #2, what is the score at the 32nd percentile (32%)?

Question #2 A normal distribution has a mean of 45 (μ = 45) and a standard deviation of 10. At what percentile rank does a score of 53 have? Question #3 In the same distribution in Question #2, what is the score at the 32nd percentile (32%)?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

Question #2

A normal distribution has a mean of 45 (μ = 45) and a standard deviation of 10. At what percentile rank does a score of 53 have?

Question #3

In the same distribution in Question #2, what is the score at the 32^nd percentile (32%)?

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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