UPSSSC PET · Bite-size lessons
Bar & Line Graphs
About 6 min · Graph Interpretation · English
Time worked out from the lesson's 410 words at 150 words a minute, plus a minute for each question.
Bar and line graphs are data interpretation formats tested in UPSSSC PET. These questions test your ability to read graphical data accurately, compare values, and compute percentages, ratios, and growth rates under time pressure.
Key ideas
- Bar graphs display categorical data using rectangular bars where length/height represents the value. Bars can be vertical (columns) or horizontal, and may be grouped (side-by-side) or stacked (one category on top of another).
- Line graphs show continuous data over time or ordered categories using connected points. They're excellent for displaying trends, growth patterns, and fluctuations. Multiple lines on the same graph allow easy comparison between entities.
- Scale reading is critical — always check the y-axis scale carefully. Sometimes it starts from a non-zero value or uses intervals like 5, 10, 50, or 100. Misreading scale is a common source of error.
- Data extraction means finding exact or approximate values by aligning the bar top or line point with the y-axis. When exact values aren't marked, estimate proportionally between gridlines.
- Percentage change formula: ((New Value - Old Value) / Old Value) × 100. Positive values indicate increase (growth), negative values indicate decrease.
Quick reference
- Always read axis labels and scales first — 15 seconds of orientation saves 2 minutes of confusion
- Percentage change = (Change/Original) × 100; growth uses old value as base
- Ratio A:B — always simplify by dividing by HCF
- Line graphs show trends over time — look for steepest slope for maximum growth rate
- Bar graphs compare categories — tallest bar = maximum value
Check yourself: 3 questions
1. A bar graph shows the production of wheat (in thousand tonnes) in five districts of Uttar Pradesh in 2022: Meerut: 80, Aligarh: 65, Agra: 75, Mathura: 90, Bulandshahr: 70. What is the ratio of wheat production in Mathura to that in Aligarh?
2. A line graph shows the number of tourists (in lakhs) visiting Agra in six consecutive years: 2017: 12, 2018: 15, 2019: 18, 2020: 10, 2021: 14, 2022: 21. Calculate the percentage increase in the number of tourists from 2021 to 2022.
3. A combined bar graph shows the sales (in crore rupees) of two companies A and B over four years: 2019: A = 40, B = 50; 2020: A = 45, B = 48; 2021: A = 52, B = 55; 2022: A = 60, B = 54. In how many years did Company A show a higher percentage growth compared to the previous year than Company B?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 17 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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