The following data are the top 50 women’s finish time (in minutes) in the 2013 ING New York City Marathon. 161 163 179 179 180 146 149 176 149 150 177 177 164 179 148 177 177 160 158 177 172 160 176 148 166 167 170 171 150 172 173 173 174 175 175 161 152 155 155 176 177 161 176 178 180 145 178 148 181 149 a. Find the mean, median, IQR, and standard deviation. You can use the calculator to find the values. b. Construct a frequency histogram. Begin with a lower-class limit of 140 minutes and class width of 10 minutes. Describe the shape of the distribution. c. On the basis of the histogram you constructed, is the mean a typical finish time? Is the median a typical finish time? d. What does the standard deviation that you found in part a tell us about the spread of the data? Explain what it means in the context of the top 50 women’s finish times for the NYC marathon.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

6. The following data are the top 50 women’s finish time (in minutes) in the 2013 ING New York
City Marathon.
161 163 179 179 180 146 149 176 149 150 177 177
164 179 148 177 177 160 158 177 172 160 176 148
166 167 170 171 150 172 173 173 174 175 175 161
152 155 155 176 177 161 176 178 180 145 178 148
181 149
a. Find the mean, median, IQR, and standard deviation. You can use the calculator to find the values.


b. Construct a frequency histogram. Begin with a lower-class limit of 140 minutes and class width of 10
minutes. Describe the shape of the distribution.


c. On the basis of the histogram you constructed, is the mean a typical finish time? Is the median a
typical finish time?


d. What does the standard deviation that you found in part a tell us about the spread of the
data? Explain what it means in the context of the top 50 women’s finish times for the NYC
marathon.

Expert Solution
steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman