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1. |
A
brief introduction including questions to promote the
discussion of probability in every day life is given.
This could include asking students where they see
statistics or probability in their day to day lives.
Typical answers focus on probability and include the
weather forecasts or lotteries.
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2. |
Ask students how many believe that there are at least
two persons born on the same day in the room and twins
or multiple births do not count. Use a show of hands to
determine how many students believe that there will be
at least two people born on the same day. (Note that
year does not play a role in this question!)
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3. |
Ask the students to form a human histogram by forming 12
bins based on the months of their birth. To avoid utter
chaos, have students form the histogram one month at a
time while you call out the month. Then, ask the
students to order themselves within the bins with the
first of the month at the bottom of the bin and the last
of the month at the top of the bin. This allows the
students to make the birthday discovery on their own.
ALTERNATIVE: If the class is too large use the first 6
months or use a portion of the class for the full 12
months.
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4. |
Once all students are in their bins and ordered, ask the
students to identify the people who share the same
birthday. Explain that as long as there is a minimum of
23 persons participating that there was over a 50%
chance that two people would share the same birth month
and day. As you do this multiple times, you will find
that probability will catch up with you and at some
point there will be a time when there are not 2
birthdays. This is a good learning/teaching experience
as well.
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5. |
Have students count off. Discuss the median. Ask for
someone to tell you where they think the median is.
Find the actual median using the equations;
Odd – the person’s birthday located at (n+1)/2 or Even –
the midpoint between the persons’ birthdays located at
n/2 and (n+2)/2. Have that person raise both hands in
the air so that students can physically see the location
of the median.
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6. |
Ask for the definition of the mode. Remind students
that another word for mode is maxima and they are
looking for the bin with the maximum amount of birthdays
in it. You can discuss bi-modal and tri-modal as well.
Opportunity sometimes knocks with the actual occurrence
of one of these situations.
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7. |
Explain that the mean is another measure of central
tendency and it would be located where a fulcrum would
balance a platform that contained all of the students if
weight was the variable we were measuring.
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8. |
Have the students look around at how the class is
distributed between the different months. Talk about
the fact that variation is a measure of the spread of
the data. |