Answered: The average height of a certain age…

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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The average height of a certain age group of people is 53 inches. The standard
deviation is 4 inches. If the variable is normally distributed, find the probability that a
selected individual’s height will be
a) Greater than 59 inches.
b) Less than 45 inches.
c) Between 50 and 55 inches.
d) Between 58 and 62 inches.

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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