Choose one of the following two prompts to respond to. In your two follow up posts,

respond at least once to each prompt option. Use the discussion board as a place to ask
questions, speculate about answers, and share insights. Be sure to embed and cite your
references for any supporting images.

Option 1:

Using the data set provided, select random samples of 5, 10, 20, and 50. Using Excel,
StatCrunch, etc., construct a histogram for each sample. Share your histograms.
(Central Limit Theorem). In response to your peers, discuss how the sample size impacts
the shape of your distribution.

Option 2:

Flip a coin 10 times and record the observed number of heads and tails. For example, with
10 flips one might get 6 heads and 4 tails. Now, flip the coin another 20 times (so 30 times
in total) and again, record the observed number of heads and tails. Finally, flip the coin
another 70 times (so 100 times in total) and record your results again.

How far away from 50/50 are you for each of your three samples? We would expect that
the distribution of heads and tails to be 50/50.

Is this the case for your three samples of 10, 30, and 100 coin flips? Reflect upon why
might this happen?

In response to your peers, comment on the similarities and differences between yours
and your classmate’s data analyses. In particular, compare how far away you and your
classmate are from 50/50 for each of your three samples.