SSC CGL Exam  >  SSC CGL Videos  >  SSC CGL Tier 2 - Study Material, Online Tests, Previous Year  >  Harmonic Mean - Measures of Central Tendency, Business Mathematics & Statistics

Harmonic Mean - Measures of Central Tendency, Business Mathematics & Statistics Video Lecture | SSC CGL Tier 2 - Study Material, Online Tests, Previous Year

1365 videos|1312 docs|1010 tests

Top Courses for SSC CGL

FAQs on Harmonic Mean - Measures of Central Tendency, Business Mathematics & Statistics Video Lecture - SSC CGL Tier 2 - Study Material, Online Tests, Previous Year

1. What is the harmonic mean and how is it calculated?
Ans. The harmonic mean is a measure of central tendency used in statistics to determine the average of a set of numbers. It is calculated by dividing the number of values in the set by the sum of their reciprocals.
2. When is the harmonic mean used instead of the arithmetic mean?
Ans. The harmonic mean is used instead of the arithmetic mean when dealing with rates or ratios. It is particularly useful when the values being averaged have a reciprocal relationship, such as speed and time. For example, when calculating the average speed of a trip, the harmonic mean should be used if the distances traveled are different.
3. How does the harmonic mean differ from the arithmetic mean and the geometric mean?
Ans. The arithmetic mean is calculated by summing all the values in a set and dividing by the total number of values. The geometric mean is calculated by taking the nth root of the product of all the values in a set. In contrast, the harmonic mean is calculated by dividing the number of values by the sum of their reciprocals. The harmonic mean places more weight on smaller values, making it useful for averaging rates or ratios.
4. Can the harmonic mean be used with negative numbers?
Ans. No, the harmonic mean cannot be used with negative numbers. Since the harmonic mean involves taking the reciprocals of the values, negative numbers would result in undefined values. The harmonic mean can only be used with positive numbers.
5. What are some practical applications of the harmonic mean in business and statistics?
Ans. The harmonic mean is commonly used in business and statistics for various applications. It is used in finance to calculate average rates of return, in manufacturing to determine average production rates, and in transportation to calculate average speeds. Additionally, it is used in sports analytics to calculate average player efficiency ratings and in environmental science to determine average pollutant concentrations.
1365 videos|1312 docs|1010 tests
Explore Courses for SSC CGL exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Business Mathematics & Statistics Video Lecture | SSC CGL Tier 2 - Study Material

,

Business Mathematics & Statistics Video Lecture | SSC CGL Tier 2 - Study Material

,

practice quizzes

,

Business Mathematics & Statistics Video Lecture | SSC CGL Tier 2 - Study Material

,

Online Tests

,

Previous Year

,

Harmonic Mean - Measures of Central Tendency

,

Sample Paper

,

Semester Notes

,

MCQs

,

Extra Questions

,

Online Tests

,

mock tests for examination

,

Previous Year

,

Objective type Questions

,

video lectures

,

Previous Year

,

Viva Questions

,

Summary

,

Previous Year Questions with Solutions

,

study material

,

shortcuts and tricks

,

Harmonic Mean - Measures of Central Tendency

,

pdf

,

ppt

,

Important questions

,

Harmonic Mean - Measures of Central Tendency

,

Online Tests

,

Exam

,

Free

,

past year papers

;