Answered: that the heights of male students are…

that the heights of male students are normally distributed with a mean of 70.a inches and a standard deviation of 2.a inches

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

Continuous distribution. Draw a bell shaped curve to show the x and z values and the probability
asked for.
Assume that the heights of male students are normally distributed with a mean of 70.a inches and a
standard deviation of 2.a inches. (a=1)

a) Find the probability that male students have a height between the Toronto Maple Leaf’s average
height of 72.4 in. and the Philadelphia Flyers’ average height of 74.6 in. /3.5
b) Find the height value that separates the tallest 10% of the college students from the rest

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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