Data Interpretation • Topic 2 of 5
Bar Graphs
Each bar's height is a value; read it against the axis scale. Questions ask for totals across bars, the difference between two bars, percentage change from one year to the next, or which bar is largest/smallest. With grouped/stacked bars, identify the segment before computing.
✅ Solved examples
1. Production (in tonnes) over 2019-2022: 40, 50, 60, 50. Total?
40+50+60+50 = 200.
2. Percentage increase from 2019 (40) to 2021 (60)?
(60-40)/40 x 100 = 50%.
3. Average production over the four years?
200/4 = 50 tonnes.
4. By what percent did 2022 (50) fall from 2021 (60)?
(60-50)/60 x 100 = 16.67%.
✏️ Practice — try these, take hints as needed
1. Bars 30, 45, 25. Total?
Add.
—
—
100
2. Increase from 30 to 45?
15/30.
x 100.
—
50%
3. Average of 30, 45, 25?
100/3.
—
—
33.33
4. Difference between largest and smallest of 30,45,25?
45 - 25.
—
—
20
5. 25 is what percent of total 100?
25/100.
—
—
25%
📝 Topic test — 8 questions
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Formula Reference Sheet
This chapter
The only tools you need
| Percentage of total | part / total x 100 |
|---|---|
| Percentage change | (new - old) / old x 100 |
| Average | sum / count |
| Pie chart | value = (sector angle / 360) x total, or percent x total |
SSC reference
🖩 Graphing Calculator