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Statistics / Statistics: Informed Decisions Using Data 4 / Chapter 3 / Problem 6RE

Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III

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Travel Time to Work The frequency distribution listed in

Chapter 3, Problem 6RE

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QUESTION:

Problem 6RE

Travel Time to Work The frequency distribution listed in the table represents the travel time to work (in minutes) for a random sample of 895 U.S. adults.

Travel Time (minutes)	Frequency
0-9	125
10-19	271
20-29	186
30-39	121
40-49	54
50-59	62
60-69	43
70-79	20
80-89	13
Source: Based on data from the 2009 American Community Survey

(a) Approximate the mean travel time to work for U.S. adults.

(b) Approximate the standard deviation travel time to work for U.S. adults.

Questions & Answers

QUESTION:

Problem 6RE

Travel Time to Work The frequency distribution listed in the table represents the travel time to work (in minutes) for a random sample of 895 U.S. adults.

Travel Time (minutes)	Frequency
0-9	125
10-19	271
20-29	186
30-39	121
40-49	54
50-59	62
60-69	43
70-79	20
80-89	13
Source: Based on data from the 2009 American Community Survey

(a) Approximate the mean travel time to work for U.S. adults.

(b) Approximate the standard deviation travel time to work for U.S. adults.

ANSWER:

Problem 6RE

Travel Time to Work The frequency distribution listed in the table represents the travel time to work (in minutes) for a random sample of 895 U.S. adults.

Travel Time (minutes)	Frequency
0-9	125
10-19	271
20-29	186
30-39	121
40-49	54
50-59	62
60-69	43
70-79	20
80-89	13

Source: Based on data from the 2009 American Community Survey

(a) Approximate the mean travel time to work for U.S. adults.

(b) Approximate the standard deviation travel time to work for U.S. adults.

Step by Step Solution

Step 1 of 2

(a)

To approximate the mean travel time, determine the class midpoint of each class, ie;

Similarly, determine the same for all classes, construct the table as shown below

Travel Time (minutes)	Midpoint,	Frequency,
0-9	4.5	125	562.5
10-19	14.5	271	3929.5
20-29	24.5	186	4557
30-39	34.5	121	4174.5
40-49	44.5	54	2403
50-59	54.5	62	3379
60-69	64.5	43	2773.5
70-79	74.5	20	1490
80-89	84.5	13	1098.5
Total:

Compute the values of by multiplying each class midpoint by the corresponding frequency and obtain the results shown in column

Sample Mean,

Substituting the values,

Approximate the mean travel time to work for U.S. adults is 27.23.

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