On the first card, write a zero, the next card a one and continue until you write nine on the last index card

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Statistics Assignment

For this assignment, you will need 10 index cards.  On the first card, write a zero, the next card a one and continue until you write nine on the last index card.

With the number facing down, shuffle the cards a few times and select one card at random.  Repeat this 20 times and report the frequency of each number below:

Number	Frequency
0
1
2
3
4
5
6
7
8
9

Now, with each experiment, choose 4 cards at random without replacement and average the number on the 4 cards.  Repeat this 20 times and report the frequency:

Number range	Frequency
0 to 0.9999
1 to 1.9999
2 to 2.9999
3 to 3.9999
4 to 4.9999
5 to 5.9999
6 to 6.9999
7 to 7.9999
8 to 8.9999

Now, with each experiment, choose 4 cards at random WITH replacement (shuffle between selections) and average the number on the 4 cards.  Repeat this 20 times and report the frequency:

Number range	Frequency
0 to 0.9999
1 to 1.9999
2 to 2.9999
3 to 3.9999
4 to 4.9999
5 to 5.9999
6 to 6.9999
7 to 7.9999
8 to 9

Finally, with each experiment, choose 9 cards at random WITH replacement and average the number on the 9 cards.  Repeat this 20 times and report the frequency:

Number range	Frequency
0 to 0.9999
1 to 1.9999
2 to 2.9999
3 to 3.9999
4 to 4.9999
5 to 5.9999
6 to 6.9999
7 to 7.9999
8 to 9

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