Answered: The average time to travel to work for…

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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Use the following information for questions 1, 2, 3, 4 and 5.

The average time to travel to work for a person living and working in Grand Rapids is 17 minutes. Suppose the standard deviation of the travel time is 4.5 minutes and the distribution is approximately normally distributed.

1.What percentage of the people have a travel time that is less than 20 minutes?

2.What percentage of people have a travel time that is less than 10 minutes?

3.What percentage of the people have a travel time that is more than 23.5 minutes?

5.What percentage of the people have a travel time that is between thirteen and fifteen minutes?

4.What is the maximum travel time for people that correspond to fastest twenty-five percent (or shortest travel time)?

Approximate to the closest minute!

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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