Dot Plot and Histogram Maker
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Type or paste numbers, choose a dot plot, a histogram or both, and the graph draws itself. Adjust the bins, label the axes, and download the picture or print a worksheet with an answer key.
Dot Plots and Histograms
Use the graph and the numbers below to answer the questions.
| Count | Min | Max | Range | Mean | Median | Mode | Q1 | Q3 |
|---|---|---|---|---|---|---|---|---|
| 20 | 3 | 9 | 6 | 5.3 | 5 | 5 | 4 | 6 |
Questions
- How many data values are there in all?
- What is the range of the data?
- How many values are greater than 5?
- How many values are between 5 and 8, including both?
- What is the mode (the value that appears most often)?
- Which interval has the most data? How many values does it hold?
Dot Plots and Histograms — Answer Key
- How many data values are there in all? 20
- What is the range of the data? 6
- How many values are greater than 5? 7
- How many values are between 5 and 8, including both? 13
- What is the mode (the value that appears most often)? 5
- Which interval has the most data? How many values does it hold? 5 up to 6 — 7 values
Quick check: try a few questions online
A dot plot shows these values: 2, 3, 3, 4, 4, 4, 5, 5, 6, 7. What is the mode?
Correct answer: 4. The mode is the value with the tallest stack of dots. The number 4 appears three times, more than any other value.
A histogram has bars for 0–9, 10–19 and 20–29 with heights 4, 7 and 3. How many values are in the data set?
Correct answer: 14. Add the heights of the bars. 4 + 7 + 3 = 14, because each bar counts how many values fall in that interval.
What is the main difference between a dot plot and a histogram?
Correct answer: A dot plot shows each value. A histogram groups values into intervals.. In a dot plot every data value gets its own dot. In a histogram, values are grouped into bins and the bar height shows how many values are in each bin.
Pick an answer for each question.
About this tool
A dot plot and a histogram both show how a set of numbers is spread out. A dot plot gives every value its own dot, so you can see exactly what the data is. A histogram groups the values into intervals called bins and shows how many values fall in each one, which makes large data sets easier to read.
Paste your numbers into the box, separated by commas, spaces or new lines. The graphs update as you type. You can set the width of the histogram bins and where the first bin starts, add a title and axis labels, and download either graph as an SVG or PNG image for a slide, worksheet or lab report.
Under the graphs, a summary table gives the count, minimum, maximum, range, mean, median, mode and the first and third quartiles. The worksheet option adds questions that are built from your own data, with an answer key, so one set of numbers can become a ready-to-use activity. No data on hand? Choose a sample such as quiz scores or shoe sizes and press New sample data for a fresh set.
How to use it
- Type or paste your numbers into the data box. Anything that is not a number is skipped, and the page tells you how many entries were skipped.
- Choose a dot plot, a histogram, or both. Add a title and axis labels if you want them.
- For a histogram, leave the bins on automatic or choose a width. You can also choose where the first bin starts.
- Read the summary table under the graphs. Use Download SVG or Download PNG to save the first graph.
- Turn on the questions option and print. Show the answer key to see every answer worked out from your data.
How the histogram bins work
Each bin includes its left edge but not its right edge. With bins of width 5 starting at 0, a value of 5 goes in the bin from 5 up to 10, not the bin from 0 up to 5. The last bin also includes its right edge, so the largest value is always counted. The bar heights always add up to the number of values in your data.
Choosing a bin width
Too many narrow bins make the histogram jagged. Too few wide bins hide the shape. The automatic setting picks a round width that gives about as many bins as the square root rule would suggest. If you want students to explore, try several widths and see how the same data can look different.
Common questions
What is the difference between a dot plot and a histogram?
A dot plot shows every value as a dot above a number line. A histogram groups values into intervals and uses bars to show how many values are in each. Dot plots work well for small data sets. Histograms work well when there are many values.
How do I choose the number of bins?
Start with the automatic setting, then try a few bin widths. Between 5 and 12 bins is usually easy to read. Round bin widths such as 5 or 10 make the axis easier to understand.
Which edge of a bin is included?
The left edge is included and the right edge is not, except for the last bin, which includes both. That way every value is counted exactly once.
How are the quartiles found?
The data is sorted and split into a lower half and an upper half. If there is an odd number of values, the median is left out of both halves. The first quartile is the median of the lower half. The third quartile is the median of the upper half.
Can I save the graph as an image?
Yes. Use Download SVG for a sharp image that scales, or Download PNG for slides and documents.
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