Frequency plots are the first step towards understanding a roughly normal distribution. We often use the mean when discussing frequency plots, but we can still talk about the median when we see a frequency plot. See if you can visualize both by trying these problems:

Box Plots and Frequency Plots, Mean and Median

And below is a coin flipping experiment. The number of coins (n) is 10, and the probability of heads (p) is 0.5. Each time you click the play button, the program flips 10 coins and counts the number of heads. The x-axis shows the various possible results and the y-axis shows the frequency (as a decimal) with which that result appears. For example, if above the 4 on the x-axis the bar goes up to 0.3, that means you got 4 heads 30% of the time. If you keep doing the experiment, you expect that 5 heads will come up the most often, 4 heads less often, and so on. See if that happens!

Coin Flipping Towards a Normal Distribution

Box Plots and Frequency Plots, Mean and Median

And below is a coin flipping experiment. The number of coins (n) is 10, and the probability of heads (p) is 0.5. Each time you click the play button, the program flips 10 coins and counts the number of heads. The x-axis shows the various possible results and the y-axis shows the frequency (as a decimal) with which that result appears. For example, if above the 4 on the x-axis the bar goes up to 0.3, that means you got 4 heads 30% of the time. If you keep doing the experiment, you expect that 5 heads will come up the most often, 4 heads less often, and so on. See if that happens!

Coin Flipping Towards a Normal Distribution