Answered: Suppose that you are an elementary…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 41.3 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 85 words per minute and a standard deviation of 23 words per minute.

a. At what percentile is the child's reading level (round final answer to one decimal place).

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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