At one university, the mean distance commuted to campus by students is 17.0 miles, with a standard deviation of 4.1miles. Suppose that the commute distances are normally distributed. Complete the following statements. (a) Approximately 95% of the students have commute distances between ? miles and ? miles (b) Approximately ? of the students have commute distances between 12.9 miles and 21.1 miles.

At one university, the mean distance commuted to campus by students is 17.0 miles, with a standard deviation of 4.1miles. Suppose that the commute distances are normally distributed. Complete the following statements. (a) Approximately 95% of the students have commute distances between ? miles and ? miles (b) Approximately ? of the students have commute distances between 12.9 miles and 21.1 miles.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

100%

(a) Approximately 95% of the students have commute distances between ? miles and

? miles

(b) Approximately ? of the students have commute distances between

12.9 miles and 21.1 miles.

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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