Answered: Heights of 10 year old children,…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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Question

Heights of 10 year old children, regardless of sex, closely follow a normal distribution with mean 55.6 inches and standard deviation 6.1 inches. Round answers to 4 decimal places.

a) What is the probability that a randomly chosen 10 year old child is less than 52.3 inches?

b) What is the probability that a randomly chosen 10 year old child is more than 61.8 inches?

c) What proportion of 10 year old children are between 51.5 and 59.6 inches tall?

d) 70% of all 10 year old child are less than (blank) inches.

answer abcd

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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