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Fundamentals of Stress and Vibration 1. Mathematics for Structural mechanics
[A Practical guide for aspiring Designers / Analysts]
The weighted average property is given by using the formula,

n a W
Weighted average = i=1 1 i where a is the relative rank and W is the weightage
n i=1 W i
Therefore the weighted average for the given situation is;

9 ∗ 0.1 + 7 ∗ 0.4 + 8 ∗ 0.2 + 9 ∗ 0.3
= 16.2
0.1 + 0.4 + 0.2 + 0.3

šƒ’Ž‡ Ͷǣ ϐ‹† –Š‡ ƒ”„—”‹œƒ–‹‘ †‡’–Š Ž‘•–ǡ ˆ‘” ƒ ‰‡ƒ” ‹ˆ –Š‡ ‘˜‡” ’‹ †‹‡•‹‘ ‰‘‡• †‘™ „›
ͲǤͷǤ Š‡ †‹ƒ‡–‡” ‘ˆ –Š‡ ’‹ ‹• ͳͲǡ –Š‡ ’”‡••—”‡ ƒ‰Ž‡ ‘ˆ –Š‡ ‰‡ƒ” ‹• ʹͲ †‡‰”‡‡•Ǥ

ƒ ‰”‘—†ǣ –Š‡ ‰‡ƒ” –‘‘–Š •‹œ‡ ‹• ‰‡‡”ƒŽŽ› ‡ƒ•—”‡† „› ‡ƒ•—”‹‰ –Š‡ ‘˜‡” ’‹ †‹‡•‹‘ ƒ•
†‡’‹ –‡† ‹ ȏ ‹‰ ͳǤ͹ͻȐǤ Š‡•‡ ’‹•Ȁ”‘ŽŽ‡”• ƒ”‡ –ƒ‰‡–‹ƒŽ –‘ –Š‡ ‰‡ƒ” –‘‘–Šǡ ™Š‡”‡ǡ –Š‡ –ƒ‰‡–
ƒ‡• ƒ ƒ‰Ž‡ ‡“—ƒŽ –‘ –Š‡ ’”‡••—”‡ ƒ‰Ž‡ ™‹–Š –Š‡ ˜‡”–‹ ƒŽǤ Š‡ ‘˜‡” ’‹ †‹‡•‹‘ ‹• ‰‹˜‡ ƒ
–‘Ž‡”ƒ ‡Ǥ ˆ –Š‡ †‹‡•‹‘• ‰‘ ƒ„‘˜‡ ‘” „‡Ž‘™ –Š‡ •‡– –‘Ž‡”ƒ ‡ǡ –Š‡ǡ –Š‡ –‘‘–Š •‹œ‡ ‹• ‡‹–Š‡”
‘”‡ǡ ‘” Ž‡•• –Šƒ –Š‡ •–‹’—Žƒ–‡† †‹‡•‹‘Ǥ

[Fig 1.79: over pin dimension of a gear]

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 81