Divide the contents of a large bag of different-colored candies randomly and approximately equally among the members of the group. Do not pick specific candy colors, but simply empty the contents of the bag onto a table and quickly divide the pile. If you are doing this exercise by yourself, divide the contents of the bag into five piles. Have each person count the number of candies of each color in they pile and calculate the frequency of each color in the pile.

Key Concepts

Random Sampling

Random sampling is a technique used to select a subset of individuals from a larger population, ensuring that each member has an equal chance of being chosen. This method helps to minimize bias and allows for a more accurate representation of the population's characteristics. In the context of dividing candies, random sampling ensures that the distribution of colors is fair and reflects the overall mix in the bag.

Frequency Distribution

Frequency distribution is a statistical method that shows how often each value occurs in a dataset. In this exercise, participants will count the number of candies of each color in their pile, which allows them to create a frequency distribution for the colors. This distribution helps in understanding the diversity and abundance of different colors within the sample.

Proportional Representation

Proportional representation refers to the idea that the distribution of items (like candies) should reflect their overall proportions in the original population. When dividing the candies, it is important that each pile represents the variety of colors in the bag, allowing for a fair comparison of color frequencies across different piles. This concept is crucial for ensuring that the results of the exercise are meaningful and representative.