Frequency Distribution
Frequency distribution is a count of how often each result shows up when you repeat something many times.
Sort a bag of mixed candy into piles by type. Count each pile. The tallest pile shows what you got most. The smallest pile shows what you got least.
Explaining frequency distribution by grade level
Roll a die ten times and mark each number you get. Some numbers come up more than others. The marks you make show how your rolls spread out. That picture of your marks is a frequency distribution.
Projects that explore frequency distribution
Roll one die 100 times, write down every outcome, then divide each count by 100 — that ratio is the frequency for each face. Now do the same with two dice and record those totals. Comparing the one-die and two-dice results reveals how the distribution shifts when you add a second die.
Release 200 marbles from a funnel at the top of a pegboard and let them fall into 12 compartments along the bottom. Counting how many land in each slot gives you a frequency distribution — a picture of which results happen often and which happen rarely. About 50% end up in the two center slots, a pattern that emerges from the structure of the device itself.