Histogram Worksheet Generator
Create unlimited, classroom-ready histogram worksheets with custom intervals and live-computed answer keys. Perfect for teaching frequency tables, equal binning, distribution shape, and modal classes.
Generate Histogram & Frequency Distribution Worksheets
Customize grade level and question count, or enter a saved seed to regenerate an identical classroom assignment.
Dot Plot Practice Worksheet
Directions: Read each real-world context carefully. Graph the dataset on the grid provided, then show all mathematical calculations to answer the questions in the space provided.
What This Histogram Worksheet Covers
Histograms group continuous numerical data into consecutive, non-overlapping intervals (bins). Our worksheet generator structures real-world data problems to strengthen core statistical standards:
Frequency Tables & Binning
Aligns with CCSS.MATH.CONTENT.6.SP.B.4. Students calculate the full range of the dataset, determine equal interval widths, tally frequencies into table rows, and transfer frequencies onto coordinate axes.
Distribution Shape & Modality
Aligns with CCSS.MATH.CONTENT.6.SP.B.5 and HSS-ID.A.2. Students identify modal classes (the highest frequency peak), evaluate skewness (symmetric, right-skewed, or left-skewed), and explain why bars must touch.
Mean vs. Median Analysis
Aligns with AP Statistics Unit 1. Students evaluate how extreme right-tail or left-tail bins pull the arithmetic mean away from the median, cementing why the median is the resistant measure of center.
For smaller sample sizes (N < 30), histograms can obscure individual numbers. Compare this behavior in our dot plot vs histogram guide to see when dot plots preserve raw observations better.
Example Question & Worked Solution
Here is a sample problem demonstrating the frequency table breakdown and completed histogram analysis:
Problem Context: Math Quiz Scores (Out of 50 Points) for 16 Students
Student Task: Group the data into 5 equal bins of width 8 starting at 10 (10–17, 18–25, 26–33, 34–41, 42–49). Complete the frequency table, construct the histogram, and identify the modal bin.
Worked Solution:
| Interval (Score) | Tally | Frequency |
|---|---|---|
| 10 – 17 | | | 1 |
| 18 – 25 | ||| | 3 |
| 26 – 33 | |||| | 4 |
| 34 – 41 | |||| | 4 |
| 42 – 49 | |||| | 4 |
- Total Observations (N): 1 + 3 + 4 + 4 + 4 = 16 students
- Modal Intervals: A three-way plateau across 26–33, 34–41, and 42–49 (Frequency = 4 each)
- Distribution Shape: Slightly skewed left due to the single lower outlier score of 14.
Check Your Work Interactively
Verify Your Bins in Our Free Histogram Maker
Paste any worksheet dataset directly into our online tool to test different bin widths, verify frequencies, and inspect automated statistical algorithms.