We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more   

AtoZmath.com
Support us
(New) All problem can be solved using search box
I want to sell my website www.AtoZmath.com with complete code
 
 
Home What's new College Algebra Games Feedback About us
Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra
Home > Statistical Methods calculators > Geometric mean, Harmonic mean for ungrouped data example
Harmonic mean Example for ungrouped data ( Enter your problem )
( Enter your problem )
  1. Formula & Example
  2. Geometric mean Example
  3. Harmonic mean Example
 		Other related methods
  1. Mean, Median and Mode
  2. Quartile, Decile, Percentile, Octile, Quintile
  3. Population Variance, Standard deviation and coefficient of variation
  4. Sample Variance, Standard deviation and coefficient of variation
  5. Population Skewness, Kurtosis
  6. Sample Skewness, Kurtosis
  7. Geometric mean, Harmonic mean
  8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation
  9. Five number summary
  10. Box and Whisker Plots
  11. Construct an ungrouped frequency distribution table
  12. Construct a grouped frequency distribution table
  13. Maximum, Minimum
  14. Sum, Length
  15. Range, Mid Range
  16. Stem and leaf plot
  17. Ascending order, Descending order
2. Geometric mean Example
(Previous example)		8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation
(Next method)

3. Harmonic mean Example


1. Calculate Harmonic mean from the following data
`3,13,11,15,5,4,2`

Solution:
Harmonic mean :
`x``1/x`
30.3333
130.0769
110.0909
150.0667
50.2
40.25
20.5
------
`sum 1/x=1.5178`


HM of X `= n/(sum (f/x))`

`=(7)/(1.5178)`

`=4.6118`

2. Calculate Harmonic mean from the following data
`10,50,30,20,10,20,70,30`

Solution:
Harmonic mean :
`x``1/x`
100.1
500.02
300.0333
200.05
100.1
200.05
700.0143
300.0333
------
`sum 1/x=0.401`


HM of X `= n/(sum (f/x))`

`=(8)/(0.401)`

`=19.9525`

3. Calculate Harmonic mean from the following data
`73,70,71,73,68,67,69,72,76,71`

Solution:
Harmonic mean :
`x``1/x`
730.0137
700.0143
710.0141
730.0137
680.0147
670.0149
690.0145
720.0139
760.0132
710.0141
------
`sum 1/x=0.141`


HM of X `= n/(sum (f/x))`

`=(10)/(0.141)`

`=70.9105`

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


2. Geometric mean Example
(Previous example)		8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation
(Next method)


Share this solution or page with your friends.
 
 
Home What's new College Algebra Games Feedback About us
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.