For the following particle size distribution data, calculate the arithmetic mean, geometric mean, count median, and diameter of the particle with average surface area. Particle size (diameter) Number
1 3
3 5
5 2
8 1
Arithmetic mean of n numbers = sum of numbers / n
= (13+35+52+81)/4 = 45.25
Geometric mean of n numbers = n root of product of numbers
= (13×35×52×81)^1/4 = 37.2
Median is number in the middle when all numbers are written in ascending order, if n is odd or arithmetic mean of two middle numbers, if n is even.
Here n = 4, Median is mean of two middle numbers , 35 and 52. Hence median = 43.5
Diameter of particle of average surface area is , square root of average of square of diameters, that is
√ ( (13^2 + 35^2 + 52^2 + 81^2) / 4 ) = 51.6
For the following particle size distribution data, calculate the arithmetic mean, geometric mean, count median, and...
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