Question

In a large class of introductory Statistics students, the professor has each person toss a coin 16 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. a. What shape would you expect this histogram to be?

Answer 1

A slope of 0.5.

Explanation:

Each coin toss has a 50% probability of being heads. Therefor, the histogram plot should have a slope of 0.5. To illustrate, graph the predicted probabilities of at least two sets of coin tosses, such as 6 and 16. The probable number of heads would be 3 and 8. Plot those two points and draw the line. The slope of that line will be 0.5.

See the attachment. I graphed more than two points, since it was easy. But you really only need two if you know it is a straight line function. Graph a third just to be certain.