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.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb9b4083-174d-48b6-9fb4-3e280e88b3ef%2Ff71aee8b-cc52-444d-8d62-5d1b1c28bcb6%2Fyeirw9m_processed.jpeg&w=3840&q=75)
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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