Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 3.1, Problem 3.5E

(a)

To determine

To calculate the value of percentile for Lidge’s salary.

(a)

Expert Solution
Check Mark

Answer to Problem 3.5E

77.58th percentile

Explanation of Solution

Given:

    PlayerSalary PlayerSalary PlayerSalary
    Burrell, Pat 1,42,50,000Romero, J. C.32,50,000Kendrick, Kyle4,45,000
    Howard, Ryan1,00,00,000Feliz, Pedro 30,00,000Dobbs, Greg4,40,000
    Myers, Brett 85,83,333Helms, Wes 24,00,000Ruiz, Carlos4,25,000
    Rollins, Jimmy80,00,000Werth, Jayson17,00,000Condrey, Clayton4,20,000
    Eaton, Adam 79,58,333Madson, Ryan 14,00,000Coste, Chris4,15,000
    Utley, Chase 77,85,714Durbin, Chad9,00,000Rosario, Francisco3,95,000
    Lidge, Brad 63,50,000 Taguchi, So 9,00,000Zagurski, Mike3,92,500
    Moyer, Jamie 60,00,000Bruntlett, Eric 6,00,000Lahey, Tim 3,90,000
    Gordon, Tom 55,00,000Hamels, Cole 5,00,000Mathieson, Scott3,90,000
    Jenkins, Geoff50,00,000Victorino, Shane4,80,000

  Statistics Through Applications, Chapter 3.1, Problem 3.5E

    VariableSalary
    n29
    Mean3388617
    Standard deviation3767484
    Minimum390000
    Quartile 1440000
    Median 1400000
    Quartile 36000000
    Maximum 14250000

Formula used:

  Percentile = (No. of values less than x+0.5Total no. of values )×100

Calculation:

  Percentile = (No. of values less than x+0.5Total no. of values )×100=(22+0.529)×100=77.58Th percentile

The 77.58th percentile means that 77.58% of all player have salary less than Lidge’s salary.

(b)

To determine

To calculate the value of z score for Lidge’s salary.

(b)

Expert Solution
Check Mark

Answer to Problem 3.5E

Z =0.786

Explanation of Solution

Calculation:

  z=635000033886173767484z=0.786

The z score equal to 0.786 means that Lidge’s salary is 0.786 standard deviation above than mean.

Knowledge Booster
Background pattern image
Statistics
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.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Sampling Methods and Bias with Surveys: Crash Course Statistics #10; Author: CrashCourse;https://www.youtube.com/watch?v=Rf-fIpB4D50;License: Standard YouTube License, CC-BY
Statistics: Sampling Methods; Author: Mathispower4u;https://www.youtube.com/watch?v=s6ApdTvgvOs;License: Standard YouTube License, CC-BY