Answered: The heights of 1,500 boys at West High…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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The heights of 1,500 boys at West High School were measured, and the mean was found to be 65 inches, with a standard deviation of 2.3 inches.

If the heights are approximately normally distributed, 95% of the boys are between a lower value of inchesand an upper value of inches tall.

About what percent of the boys are less than 5 feet tall? Note: You cannot get an exact answer here. Any answer will involve some estimating. (Round your 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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