Question

Identify Arithmetic Mean, Geometric Mean and Harmonic Mean from the following averages:
56.4, 59.8 and 55.8

Answer 1

Arithmetic Mean is 55.8, Geometric Mean is 56.4, Harmonic Mean is 59.8

Answer 2

Find the Arithmetic Mean (AM):

Sum of the numbers = 56.4 + 59.8 + 55.8 = 172

Arithmetic Mean = 172 ÷ 3 = 57.3 (to the nearest tenth)

Find the Harmonic Mean (HM):

Sum of the reciprocal = (1 ÷ 56.4) + (1 ÷ 59.8) + (1 ÷ 55.8)  = 0.05237

Harmonic Mean = 3 ÷ 0.05237 = 57.3 (to the nearest tenth)

Find the Geometric Mean (GM):

GM² = AM x HM

GM² = 57.3 x 57.3

GM² = 3283.29

GM = 57.3

Answer: AM = 57.3, GM = 57.3 and HM = 57.3