Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Histogram and Scatterplot Analysis of Penny Thickness and Mass, Summaries of Banking and Finance

Histogram and scatterplot data on the thickness and mass of a sample of pennies. The thickness histogram shows an average thickness of 1.42mm with an rms deviation of 0.07mm, while the thickness of a new penny is designed to be 1.52mm. The mass histogram reveals two distinct peaks, indicating pennies made before 1982, primarily of copper with masses around 3.1g, and those made after 1982, primarily of zinc with masses around 2.5g. A scatterplot of thickness versus mass also shows a correlation between the two variables.

What you will learn

  • What is the average thickness and RMS deviation of the penny sample?
  • What are the two distinct peaks in the mass histogram and what do they represent?
  • Is there a correlation between penny thickness and mass?

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

mikaell
mikaell 🇺🇸

4.6

(5)

249 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
penny%thickness%
A%histogram%of%the%
measured%thickness%of%
100%new%pennies%(which%
haven't%been%worn%
appreciably%and%should%
all%be%the%same%thickness)%
using%a%crude%
micrometer.%The%average%
thickness%for%this%sample%
is%1.42mm%and%the%RMS%
of%the%distribuEon%is%
0.07mm.%%
The%thickness%of%a%new%penny%is%designed%to%be%1.52mm,%considerably%thicker%than%
the%average%of%the%sample%above.%The%shiI%in%the%distribuEons%suggests%some%kind%of%
systemaEc%error%in%the%measurement.%In%this%case,%the%two%faces%of%the%micrometer%
are%not%exactly%parallel;%on%one%side%the%micrometer,%where%we%made%all%the%
measurements,%it%measures%a%liMle%too%low.%
pf3

Partial preview of the text

Download Histogram and Scatterplot Analysis of Penny Thickness and Mass and more Summaries Banking and Finance in PDF only on Docsity!

penny thickness

A histogram of the measured thickness of 100 new pennies (which haven't been worn appreciably and should all be the same thickness) using a crude micrometer. The average thickness for this sample is 1.42mm and the RMS of the distribuEon is 0.07mm. The thickness of a new penny is designed to be 1.52mm, considerably thicker than the average of the sample above. The shiI in the distribuEons suggests some kind of systemaEc error in the measurement. In this case, the two faces of the micrometer are not exactly parallel; on one side the micrometer, where we made all the measurements, it measures a liMle too low.

penny mass

A histogram of the masses of a sample of 50 pennies measured using a jeweler’s scale. The two peaks in the distribuEon show pennies

  1. prior to 1982 made primarily of copper, with masses around 3.1g, and
  2. aIer 1982 made primarily of zinc, with masses around 2.5g.