Determine the geometric mean diameter and geometric standard deviation of the lognormal distribution to which these data adhere.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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aerosol size distribution were taken.
Size interval (µm)
Geometric mean of size interval (um)
Number of particles in intervalª
0.1-0.2
0.1414
50
0.2-0.4
0.2828
460
0.4-0.7
0.5292
1055
0.7-1.0
0.8367
980
1.0-2.0
1.414
1705
2.0–4.0
2.828
680
4.0–7.0
5.292
102
7.0–10
8.367
10
10-20
14.14
2
Assume that the particles are spheres with density pp=1.5g cm.
a. Determine the geometric mean diameter and geometric standard deviation of the
lognormal distribution to which these data adhere.
Transcribed Image Text:aerosol size distribution were taken. Size interval (µm) Geometric mean of size interval (um) Number of particles in intervalª 0.1-0.2 0.1414 50 0.2-0.4 0.2828 460 0.4-0.7 0.5292 1055 0.7-1.0 0.8367 980 1.0-2.0 1.414 1705 2.0–4.0 2.828 680 4.0–7.0 5.292 102 7.0–10 8.367 10 10-20 14.14 2 Assume that the particles are spheres with density pp=1.5g cm. a. Determine the geometric mean diameter and geometric standard deviation of the lognormal distribution to which these data adhere.
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