Particle size data for a sample of spherical particles is given as volume percentages recorded in the following size ranges: Volume % Diameter x (um) x ≤ 10 10 < x≤ 20 20 < x≤ 40 40 < x≤ 80 80 < x≤ 160 160 < x≤ 320 320 < x 0 0.01 0.09 0.9 9 90 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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 Calculate the number based cumulative frequency distribution, Qn, and differential frequency distribution, qn, and tabulate values (showing units) at appropriate grid points xi.

 

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Particle size data for a sample of spherical particles is given as volume
percentages recorded in the following size ranges:
Volume %
Diameter x
(µm)
x ≤ 10
10 < x≤ 20
20 < x≤ 40
40 < x≤ 80
80 < x≤ 160
160 < x≤ 320
320 < x
0
0.01
0.09
0.9
9
90
0
Transcribed Image Text:Particle size data for a sample of spherical particles is given as volume percentages recorded in the following size ranges: Volume % Diameter x (µm) x ≤ 10 10 < x≤ 20 20 < x≤ 40 40 < x≤ 80 80 < x≤ 160 160 < x≤ 320 320 < x 0 0.01 0.09 0.9 9 90 0
(c)
xi (um)
10
20
40
80
160
320
Qn(xi) (-)
0
0.134
0.284
0.472
0.707
1
qn(Xi) (um-1)
13.4x10-3
7.50x10-3
4.50x10-3
2.94x10-3
1.84x10-3
0
Transcribed Image Text:(c) xi (um) 10 20 40 80 160 320 Qn(xi) (-) 0 0.134 0.284 0.472 0.707 1 qn(Xi) (um-1) 13.4x10-3 7.50x10-3 4.50x10-3 2.94x10-3 1.84x10-3 0
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