The student will demonstrate and compare properties of the Central Limit Theorem.
This lab works best when sampling from several classes and combining data.
Collect the data
Count the change in your pocket. (Do not include bills.)
Randomly survey 30 classmates. Record the values of the change.
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Construct a histogram. Make 5 - 6 intervals. Sketch the graph using a ruler and pencil. Scale
the axes.
Calculate the following (
; surveying one person at a time):
=
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Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete
sentences to describe the general shape of the curve.
Collecting averages of pairs
Repeat steps 1 - 5 (of the section above titled "Collect the Data") with one exception. Instead of recording the change of 30
classmates, record the average change of 30 pairs.
Randomly survey 30
pairs of classmates. Record the values of the average of their change.
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Construct a histogram. Scale the axes using the same scaling you did for the section titled "Collecting the Data". Sketch thegraph using a ruler and a pencil.
Calculate the following (
; surveying two people at a time):
=
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Draw a smooth curve through tops of the bars of the histogram. Use 1 – 2 complete sentences
to describe the general shape of the curve.
Collecting averages of groups of five
Repeat steps 1 – 5 (of the section titled "Collect the Data") with one exception. Instead of recording the change of 30
classmates, record the average change of 30 groups of 5.
Randomly survey 30
groups of 5 classmates. Record the values of the average of their
change.
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Construct a histogram. Scale the axes using the same scaling you did for the section titled "Collect the Data". Sketch the
graph using a ruler and a pencil.
Calculate the following (
; surveying five people at a time):
=
=
Draw a smooth curve through tops of the bars of the histogram. Use 1 – 2 complete sentences
to describe the general shape of the curve.
Discussion questions
As
changed, why did the shape of the distribution of the data change? Use 1 – 2 complete sentences to explain what happened.
In the section titled "Collect the Data", what was the approximate distribution of the data?
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In the section titled "Collecting Averages of Groups of Five", what was the approximate distribution of the averages?
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In 1 – 2 complete sentences, explain any differences in your answers to the previous two questions.
Astronomy (from Ancient Greek ἀστρονομία (astronomía) 'science that studies the laws of the stars') is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution.
Rafael
vjuvu
Elgoog
what is big bang theory?
Rosemary
what type of activity astronomer do?
Rosemary
No
Richard
the big bang theory is a theory which states that all matter was compressed together in one place the matter got so unstable it exploded releasing All its contents in the form of hydrogen
according to the theory of astronomers why the moon is always appear in an elliptical orbit?
Gatjuol
hi !!! I am new in astronomy....
I have so many questions in mind ....
all of scientists of the word they just give opinion only.
but they never think true or false ...
i respect all of them...
I believes whole universe depending
on true ...থিউরি
Govinda
hello
Jackson
hi
Elyana
we're all stars and galaxies a part of sun. how can science prove thx with respect old ancient times picture or books..or anything with respect to present time .but we r a part of that universe
there many theory to born universe but what is the reality of big bang theory to born universe
Asmit
what is the exact value of π?
Nagalakshmi
by big bang
universal
there are many theories regarding this it's on you believe any theory that you think is true ex. eternal inflation theory, oscillation model theory, multiple universe theory the big bang theory etc.
Aarya
I think after Big Bang!
Michele
from where on earth could u observe all the stars during the during the course of an year
is that so. the question was in the end of this chapter
Karuna
in theory, you could see them all from the equator (though over the course of a year, not at pne time). stars are measured in "declination", which is how far N or S of the equator (90* to -90*). Polaris is the North star, and is ALMOST 90* (+89*).
So it would just barely creep over the horizon.
Christopher
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