
Chapter 3
96
Veri cation (Table 3.20)
TABLE 3.20
Verifi cation part (actual situation) of Example 3.9
Mode of conveyance Distance (Km) Speed (kmph) Time taken (min)
Car 6.00 40 9
Rickshaw 2.00 10 12
On foot 1 4 15
Total 9 36
Total distance travelled = 9 km
Total time taken = 36 min
In 36 min, he covers 9 km
In 60 min, he will cover =
9
60×
= 15 km
Hence, x’s average speed per hour is 15 kmph which is equal to the computed harmonic mean.
3.5.17 Relationship Between AM, GM, and HM
There exists a de ned relationship between arithmetic mean, geometric mean, and harmonic
mean. This relationship is:
1. AM ≥ GM ≥ HM
When all the observations are same, ...