Homework Help is Here – Start Your Trial Now!
Math
Statistics
(a) Approximately what percent of the song lengths will last more than 7 minutes? (b) State the percentile for a song lasting 3 minutes. Interpret this value.

(a) Approximately what percent of the song lengths will last more than 7 minutes? (b) State the percentile for a song lasting 3 minutes. Interpret this value.

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

I need 

**11. Below is a cumulative relative frequency graph for the lengths, in minutes, of 200 songs recorded by the Rolling Stones.** *Graph Description:* - The graph depicts a cumulative relative frequency distribution. - The x-axis represents song lengths in minutes, ranging from 1 to 10 minutes. - The y-axis represents the probability, ranging from 0.0 to 1.0. - The curve starts near the y-axis and initially rises slowly until about 2 minutes. - The slope increases steeply between 2 to 5 minutes, indicating a rapid accumulation of songs in this length range. - Beyond 5 minutes, the curve gradually flattens, indicating fewer longer songs. **(a) Approximately what percent of the song lengths will last more than 7 minutes?** To find this, observe the cumulative frequency at 7 minutes on the graph and note the y-axis value. Subtract this value from 1.0 to determine the proportion of songs longer than 7 minutes. **(b) State the percentile for a song lasting 3 minutes. Interpret this value.** Find the cumulative frequency at 3 minutes on the graph. This value represents the percentile, indicating the percentage of songs that are 3 minutes or less. This tells us that this percentage of all songs is shorter than or equal to 3 minutes in length.
Transcribed Image Text:**11. Below is a cumulative relative frequency graph for the lengths, in minutes, of 200 songs recorded by the Rolling Stones.** *Graph Description:* - The graph depicts a cumulative relative frequency distribution. - The x-axis represents song lengths in minutes, ranging from 1 to 10 minutes. - The y-axis represents the probability, ranging from 0.0 to 1.0. - The curve starts near the y-axis and initially rises slowly until about 2 minutes. - The slope increases steeply between 2 to 5 minutes, indicating a rapid accumulation of songs in this length range. - Beyond 5 minutes, the curve gradually flattens, indicating fewer longer songs. **(a) Approximately what percent of the song lengths will last more than 7 minutes?** To find this, observe the cumulative frequency at 7 minutes on the graph and note the y-axis value. Subtract this value from 1.0 to determine the proportion of songs longer than 7 minutes. **(b) State the percentile for a song lasting 3 minutes. Interpret this value.** Find the cumulative frequency at 3 minutes on the graph. This value represents the percentile, indicating the percentage of songs that are 3 minutes or less. This tells us that this percentage of all songs is shorter than or equal to 3 minutes in length.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS