Skip to main content
Top

2022 | OriginalPaper | Chapter

2. Measures of Central Tendencies

Author : Sahana Prasad

Published in: Elementary Statistical Methods

Publisher: Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

When we analyse data, we would wish to have a single or the typical value that represents and summarizes all the data points in a meaningful way. In any data set, there is a tendency of data points to cluster around a central value, and this tendency is called central tendency. It is a statistical tool that defines/describes the entire data set in one single value as well as compares different data sets. The data can further be analysed using measures of dispersion, which gives the “spread” of data values from the mean/average value. One of the measures, namely standard deviation and its relative measure, the coefficient of variation is an important indicator of stability, consistency, uniformity and reliability of data values in a group. Understanding the shape of data is also crucial to data analysis, which can be done through skewness and kurtosis. Skewness measures the asymmetry in data, while kurtosis measures the concentration of data values in the tails. Kurtosis is helpful in finance to understand risks in an investment.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference 1. Journal of Vocational and Technical Education, Volume 12, Number 2 (1996). Title: Marketing and Marketing Effectiveness Perceptions of Ohio Vocational Education Planning District (Vepd) Superintendents. Authors: Deborah B. Catri, Director, Vocational Instructional Materials Laboratory, the Ohio State University and R. Kirby Barrick, Professor and Head, Department of Agricultural Education, The Ohio State University. Illustrates the use of means, SDs, ranges, and grouped frequency distributions to summarize data. URL: http://scholar.lib.vt.edu/ejournals/JVTE/v12n2/catri.html 1. Journal of Vocational and Technical Education, Volume 12, Number 2 (1996). Title: Marketing and Marketing Effectiveness Perceptions of Ohio Vocational Education Planning District (Vepd) Superintendents. Authors: Deborah B. Catri, Director, Vocational Instructional Materials Laboratory, the Ohio State University and R. Kirby Barrick, Professor and Head, Department of Agricultural Education, The Ohio State University. Illustrates the use of means, SDs, ranges, and grouped frequency distributions to summarize data. URL: http://​scholar.​lib.​vt.​edu/​ejournals/​JVTE/​v12n2/​catri.​html
go back to reference 2. Medicine on-line—Current Medical Research and Opinion (1995), 13, No. 6, 299. Title: Comparison of azelastine nasal spray and oral ebastine in treating seasonal allergic rhinitis. Authors: D. J. Conde Hernández, J. L. Palma Aqilar and J. Delgado Romero. Illustrate use of the mean, median, and range. URL: http://www.priory.com/cmro/cmro1091.htm 2. Medicine on-line—Current Medical Research and Opinion (1995), 13, No. 6, 299. Title: Comparison of azelastine nasal spray and oral ebastine in treating seasonal allergic rhinitis. Authors: D. J. Conde Hernández, J. L. Palma Aqilar and J. Delgado Romero. Illustrate use of the mean, median, and range. URL: http://​www.​priory.​com/​cmro/​cmro1091.​htm
go back to reference 3. Psychiatry On-Line. Title: Therapeutic Group Work with Adolescent Refugees in the Context of Way and Its Stresses. Authors: Natasa Ljubomirovic MD. For each of the 8 variables, means and standard deviations are presented for females, for males, and both groups combined. URL: http://www.priory.com/psych/refugee.htm 3. Psychiatry On-Line. Title: Therapeutic Group Work with Adolescent Refugees in the Context of Way and Its Stresses. Authors: Natasa Ljubomirovic MD. For each of the 8 variables, means and standard deviations are presented for females, for males, and both groups combined. URL: http://​www.​priory.​com/​psych/​refugee.​htm
go back to reference 3. Case study on median: Seglen, P.O. 1992. The skewness of science. Journal of the American Society for Information Science 43(9):628-638 3. Case study on median: Seglen, P.O. 1992. The skewness of science. Journal of the American Society for Information Science 43(9):628-638
go back to reference 6. SAT Scores for percentiles: Data from the National Centre for Educational Statistics 6. SAT Scores for percentiles: Data from the National Centre for Educational Statistics
go back to reference 7. Example for quartile deviation. Women having their first child at various ages: Adapted from: Krantz (1992, p 190) The numbers do not sum to 100% owing to being rounded off. 7. Example for quartile deviation. Women having their first child at various ages: Adapted from: Krantz (1992, p 190) The numbers do not sum to 100% owing to being rounded off.
go back to reference 9. Case study on year and rainfall: Adapted from: Amy Goldwitz, the Davis Enterprise, March 4, 1998, pA1. 9. Case study on year and rainfall: Adapted from: Amy Goldwitz, the Davis Enterprise, March 4, 1998, pA1.
go back to reference 11. Types of Kurtosis: 2005, haron E Robinson Kurpius, Mary E, Stanford and Jason Love. 11. Types of Kurtosis: 2005, haron E Robinson Kurpius, Mary E, Stanford and Jason Love.
Metadata
Title
Measures of Central Tendencies
Author
Sahana Prasad
Copyright Year
2022
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-19-0596-4_2

Premium Partner