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How to read a chart

In the 2023 bar of a chart of Korean births, 230.0 means 230,000 babies, because the axis is labelled in thousands.

A chart turns a table of numbers into shapes, and our eyes are quick with shapes. That speed is the reason to draw a chart, and it is also the risk: you can take in the shape before you know what it shows. Good chart readers do the slow part first. They read the words around the picture, and only then look at the bars or the line. This unit uses one real data set, the number of babies born in Korea each year from 2015 to 2025, to practise that habit.

Four things to read before the shape

First, the title: what was counted, where and when. Second, the vertical axis: what the numbers measure and in what unit. Third, the horizontal axis: here it is the year, but on other charts it may be a category, an age group or a measurement. Fourth, the source and the date. The births chart below comes from the Ministry of Data and Statistics, the Korean agency formerly called Statistics Korea, in its report "Birth Statistics 2025". A chart with no source is a chart you cannot check, and a chart with no date may describe a world that has already changed.

1 title, 2 unit of the vertical axis, 3 what the horizontal axis shows, 4 source. Read these before the bars.

Units change the meaning of every bar

The vertical axis of the births chart is labelled "thousand". The 2015 bar reaches 438.4, which means 438,400 births, and the 2023 bar reaches 230.0, which means 230,000. Leave out the unit and a reader could think 438 babies were born. Units also hide in words such as "per 1,000 people", "percent" or "children per woman". The total fertility rate, which you will meet in the unit on line graphs, is measured in children per woman, so 0.72 does not mean 72 percent of anything.

Difference, ratio and percent change

Once the labels are clear, read values by sliding across from the top of a bar to the axis. Then compare them in one of three ways. The difference between 2015 and 2023 is 438.4 − 230.0 = 208.4 thousand births. The ratio is 230.0 ÷ 438.4 ≈ 0.52, so the 2023 bar is a little more than half as tall as the 2015 bar. The percent change is (230.0 − 438.4) ÷ 438.4 ≈ −47.5%. After 2023 the numbers rose again: from 230.0 to 254.3 thousand in 2025, a rise of 24.3 thousand or about 10.6%. Notice how the same chart supports both "births nearly halved" and "births rose two years in a row". Both are true; they describe different stretches of time.

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Korean births, 2015 to 2025, in thousands. Tap a bar to read it. Switch the data to the US census to see another unit (millions of people).

What a chart cannot tell you

A chart shows what happened, not why. The births chart cannot tell you whether the 2024 and 2025 rise came from more marriages, from the age structure of the population or from policy. Questions like that need other data and careful reasoning. Keep the description of the picture and the explanation of the picture apart, in your head and in what you write.

BackgroundBar charts and line graphs are younger than the printing press by about three centuries. The Scottish engineer William Playfair published The Commercial and Political Atlas in London in 1786, a book of graphs of England's trade, revenue and debt. Almost all of them were time series lines. There was one bar chart, showing Scotland's imports and exports with its trading partners, and Playfair drew it as bars because figures existed for only a single year, so there was no time line to draw. He argued that a picture lets a reader take in proportion and size at a glance, which a column of figures cannot do.
TitleWhat was counted, where and when
UnitWhat one step on the axis means: thousand, percent, per 1,000
SourceWho collected the data, so it can be checked
Reference dateThe period the numbers describe
RatioOne value divided by another: 230.0 ÷ 438.4 ≈ 0.52
Percent change(new − old) ÷ old × 100
  1. What should you read first on an unfamiliar chart?
    • The tallest bar
    • The title and axis labels
    • The colours
    • The last value
  2. The axis is in thousands and a bar reaches 254.3. How many births is that?
  3. Births fell from 438.4 thousand (2015) to 230.0 thousand (2023). Difference in thousands?
  4. Percent change from 2015 to 2023, to one decimal place (use a minus sign for a fall)?
  5. Percent change from 2023 (230.0) to 2025 (254.3), to one decimal place?
  6. About how many times as tall as the 2023 bar is the 2015 bar? (two decimals, axis from 0)
  7. A chart has no source line. What follows?
    • Nothing, the shape is enough
    • You cannot check where the numbers came from
    • The numbers must be wrong
    • It must be a pie chart
  8. The births chart rises in 2024 and 2025. What can the chart alone tell you?
    • Why births rose
    • That births rose in those years
    • That births will keep rising
    • That policy caused it
  9. In what unit is the total fertility rate given?
    • Percent
    • Children per woman
    • Births per 1,000 people
    • Thousand births
  10. Why did Playfair draw his Scottish trade data as bars?
    • Bars look nicer
    • He had figures for only one year
    • Printers could not print lines
    • It was a pie chart
Key points
  • Read the title, the axis labels and units, and the source and date before the shape.
  • Compare values as a difference, a ratio or a percent change, and say which one you used.
  • A chart shows what happened; why it happened needs other evidence.
Sources for this course (9)
  • OpenStax, Introductory Statistics 2e by Barbara Illowsky and Susan Dean (, per the page notice on 2026-10-17): 2.2 histograms, frequency polygons and time series graphs, including the 100 soccer player heights, the books bought by 50 students, class width, convenient starting points, the square root guideline, relative frequency f/n (3 of 40 = 0.075) and the section "How NOT to Lie with Statistics" (Darrell Huff, pie charts, varying class widths, axes that do not start at zero) (openstax.org/books/introductory-statistics-2e/pages/2-2-histograms-frequency-polygons-and-time-series-graphs)
  • Korean births and total fertility rate 2015 to 2025: Ministry of Data and Statistics (국가데이터처, formerly Statistics Korea)
  • "2025년 출생 통계" press release, Table 1 (mods.go.kr/board.es?mid=a10301010000&bid=204&list_no=446625, figures for calendar years 2015 to 2025)
  • TFR definition, 1970 value 4.53, 1983 value 2.06 and replacement level 2.10: e-나라지표 합계출산율 (index.go.kr/unify/idx-info.do?idxCd=5061)
  • US resident population 1950 to 2020 and the four regions in 2010 and 2020: US Census Bureau, Historical Population Change Data (1910-2020)
  • released April 26, 2021, counts as of April 1 of each census year (census.gov/data/tables/time-series/dec/popchange-data-text.html) and 2020 Census Apportionment Results press release (census.gov/newsroom/press-releases/2021/2020-census-apportionment-results.html)
  • William Playfair, Commercial and Political Atlas (1786) and Statistical Breviary (1801): Encyclopedia.com "Statistical Graphics" (encyclopedia.com/social-sciences/encyclopedias-almanacs-transcripts-and-maps/statistical-graphics)
  • J. Sachs, BRANCH (branchcollective.org)
  • I. Spence, "William Playfair and the Psychology of Graphs" (2006).

Checked: 2026-10-17