Quantitative Techniques to Transport PlanningCourses IndexOffline index pageNetTel@Africa
Page 21 of 88 pages. Chapter: 4: Averages More information about chapter

Geometric Mean

A geometric mean is a specialised measure used to average proportional increases.

Procedure

Step 1: Express the proportional increases (P pay) as a proportional multiplies (1 + P)

Step 2:  Calculate the geometric mean multiplier using:

Geometric mean multiplier =

Step 3: Subtract 1 from the geometric mean multiplier to obtain the average proportional increase.

Example 3.11: If it is known that the price of a commodity has risen by 6%, 13%, 11% and 15% in each of four successive years, then the geometric mean rise can be calculated as follows:

Step 1:  The 4 proportional multipliers are 1.06, 1.13, 1.11 and 1.15 

Step 2:  The geometric mean is given by: 

Step 3:  The (geometric) average rise  

  • = 1.112 - 1
  • = 0.112
  • = 11.2%

Go to previous pageOrganizers for courseStudy question for this pageGo live and check course documents folderGo live and access discussion forumGo to next page