Histogram Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Histogram.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
A histogram is a bar chart of a frequency distribution where bars represent count or density of data within consecutive equal-width intervals (bins).
Group data into bins and count how many fall in each. Shows the shape of data.
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Histogram shows distribution shape: symmetric, skewed, bimodal, etc.
Common stuck point: Bin width dramatically changes a histogram's appearance — too narrow and it looks jagged; too wide and it hides structure. There is no single "right" choice.
Sense of Study hint: Pick equal-width bins, then go through each data value and tally which bin it falls in. Describe the shape: symmetric, skewed left, or skewed right?
Worked Examples
Example 1
easySolution
- 1 Count values in each interval: [50,70): 52, 64, 68 → 3 values; [70,80): 71, 75, 75, 78 → 4 values; [80,90): 82, 85, 88 → 3 values; [90,100]: 90, 93 → 2 values
- 2 Draw horizontal axis with interval boundaries (50, 70, 80, 90, 100) and vertical axis for frequency
- 3 Draw touching bars (no gaps) with heights 3, 4, 3, 2 for each interval respectively
- 4 Label axes: 'Score' on x-axis, 'Frequency' on y-axis
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.