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):
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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.
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.
Questions & Answers
if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4