Data Displays
Create and interpret histograms, box plots, and dot plots.
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Data Displays
Dot Plots (Line Plots)
Each dot represents one data value placed above a number line.
Best for: Small data sets, seeing individual values, identifying clusters and gaps.
Histograms
Bars show the frequency of data in intervals (bins).
How to make a histogram:
- Choose equal-width intervals
- Count values in each interval (frequency)
- Draw bars (no gaps between bars!)
Reading histograms: The height shows how many values fall in each interval.
Best for: Large data sets, seeing the shape of a distribution.
Box Plots (Box-and-Whisker Plots)
A box plot shows the five-number summary:
- Minimum (smallest value)
- Q1 (first quartile — 25th percentile)
- Median (middle — 50th percentile)
- Q3 (third quartile — 75th percentile)
- Maximum (largest value)
The box spans from Q1 to Q3. The whiskers extend to the min and max.
IQR (Interquartile Range)
The IQR measures the spread of the middle 50% of the data.
Choosing the Right Display
| Display | Use When |
|---|---|
| Dot plot | Small data set, see individual values |
| Histogram | Large data set, see distribution shape |
| Box plot | Compare distributions, see spread |
| Bar graph | Categorical data |
| Circle graph | Parts of a whole |
Describing Distributions
Use shape, center, and spread:
- Shape: symmetric, skewed left, skewed right
- Center: mean or median
- Spread: range or IQR
Remember: Histograms have no gaps between bars (quantitative data). Bar graphs do have gaps (categorical data).
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