Step 1: What is a frequency distribution?

A frequency distribution groups values into ranges and shows how many observations fall within each range. It is like sorting your chickens into weight categories and counting how many end up in each group.

Frequency distributions are typically displayed as bar charts (also called histograms), where:

Reading the chart

In the frequency distribution below (Figure 1):

  • The X-axis (horizontal) shows the ranges of chicken weights in pounds (3-4, 4-5, 5-6, etc.)
  • The Y-axis (vertical) shows the frequency, meaning how many chickens fell in each weight range
  • Each bar's height represents the count of chickens in that weight range
Frequency (count) 0 5 10 15 Chicken Weight (lbs) 3-4 4-5 5-6 6-7 7-8 8-9

Figure 1. A frequency distribution showing chicken weights. Each bar represents a weight range, and its height shows how many chickens fall in that range.

Example: Chicken weights

The Colonel tracked the weights of chickens across multiple breeding seasons. In the distribution above, you can see that most chickens weigh between 5 to 6 pounds, with fewer at the extremes.

Key insight: The shape of this distribution tells us what is "typical" and how much variation exists from chicken to chicken.

Why does this matter?

To interpret a frequency distribution, we describe two key features:

  1. Number of peaks: How many "high points" does the distribution have?
  2. Shape: Is the distribution symmetrical or asymmetrical?

Let us learn how to identify each of these features!