Based on the generalized form of a rectangular distribution function illustrated below- a) Show that the position parameter X is equal to the mean of the measured quantity: Xavg =X. b) Formulate the standard deviation of the measurements, in terms of the width parameter w defined on the diagram.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Q.7
Based on the generalized form of a rectangular distribution function illustrated below-
a) Show that the position parameter X is equal to the mean of the measured quantity:
Xavg =X.
b) Formulate the standard deviation of the measurements, in terms of the width
parameter w defined on the diagram.
Distribution function for a set of length measurements
A
X-w
X
X+w
(x)f
Transcribed Image Text:Based on the generalized form of a rectangular distribution function illustrated below- a) Show that the position parameter X is equal to the mean of the measured quantity: Xavg =X. b) Formulate the standard deviation of the measurements, in terms of the width parameter w defined on the diagram. Distribution function for a set of length measurements A X-w X X+w (x)f
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