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.

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

mikaell
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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

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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.