Mastering GED Math: Data Interpretation â Charts and Graphs
Data questions are the GED’s gift: no formulas to memorize, no heavy algebra â just careful reading of graphs and tables. These same skills answer roughly 90% of GED Science and Social Studies questions.
Key Concepts
Detailed Explanation & Strategy
Step Zero â Read the Labels and the Scale First
Before looking at any bar, read three things: the title, the axis labels (dollars? thousands of dollars? percent?), and the scale (what is each gridline worth?). This 10-second habit defeats the most common GED data trap.
If the y-axis is marked 0, 5, 10, 15, each line is 5 â a bar at the third line means 15, not 3. If the axis starts at 50 instead of 0, the picture exaggerates small differences (60 vs 70 looks dramatic). The GED wants you to notice.
Bar Graphs â Compare and Subtract
Two question types: “which is biggest?” (tallest bar) and “how much more?” (read both, subtract). Example â monthly sales in hundreds: Jan 20, Feb 35, Mar 30, Apr 45. Highest: April. April vs January: 45 â 20 = 25 (hundred) = $2,500.
Cautions: check for “in hundreds/thousands” multipliers (a bar at 45 = $4,500), and subtract bigger â smaller â a negative result means you reversed them.
Line Graphs â Follow the Trend
Line graphs show change over time: Is it rising or falling? Between which points did it rise fastest? (Steepest segment.) Read values by going up from the time label to the point, then across to the axis.
Example â temperatures 9am 68°F, 11am 74°F, 1pm 82°F, 3pm 79°F. Greatest increase: 11amâ1pm (+8°, steeper than +6°). Note the decrease 1pmâ3pm â “temperature rose all afternoon” is a classic trap. Always check the last segment.
Circle Graphs â Percent Means “Out of 100”
Master formula: amount = (percent á 100) à total. Budget $2,400, rent 35%: 0.35 à 2400 = $840.
Two-step versions: “how much more on rent (35%) than food (20%)?” â 15% difference â 0.15 Ă 2400 = $360. Students who stop at $840 pick the bait answer the GED always includes. Finish both steps â and verify the slices add to 100%.
GED Strategy â Surviving Two-Step Questions
- Point at the data. Put your finger on each number you read â kills “I thought it said 45” errors.
- Write both steps first. “April â January, then Ă 100.” Planning prevents stopping early.
- Estimate. 45 vs 20 (hundreds) â â $2,500. If the calculator shows $250, a zero dropped.
- Underline NOT. “Which statement is NOT supported?” hunts the false claim â one missed word flips everything.
Comparison: GED Data Questions vs School Graph Questions
Myanmar math treats statistics as formulas to compute. The GED treats data as a story to read â computation is a small part:
| Feature | GED Mathematical Reasoning | Myanmar School Statistics |
|---|---|---|
| Main skill | Read, compare, and draw conclusions from graphs and tables | Compute mean/median/mode from given data sets |
| Graph types | Bar, line, circle, double-bar, tables â pick the right one to read | Mostly simple bar graphs |
| Percent questions | From circle graphs: subtract percents, then multiply by the total | Percent as an isolated calculation |
| Tricks | Truncated axes, misleading scales â the graph lies on purpose | Graphs drawn honestly and to scale |
| Crossover value | The same skills power ~90% of GED Science and Social Studies | Statistics confined to math class |
Extensive Example Bank (Authentic GED-Style Problems)
Four problems covering the main graph types. Each hides at least one classic trap.
A bar graph shows a shop’s sales (in hundreds of dollars). The y-axis is marked 0, 10, 20, 30, 40, 50. Bars: Jan â 20, Feb â 35, Mar â 30, Apr â 45.
In which month were sales highest, and how much higher than in January?
A. April, $2,500 higher
B. April, $25 higher
C. February, $1,500 higher
D. April, $4,500 higher
Solution: A. April, $2,500 higher
A line graph shows temperature: 9am â 68°F, 11am â 74°F, 1pm â 82°F, 3pm â 79°F.
Between which two times did the temperature increase the most?
A. 9amâ11am
B. 11amâ1pm
C. 1pmâ3pm
D. 9amâ3pm
Solution: B. 11amâ1pm
A family’s $2,400 monthly budget: Rent 35%, Food 20%, Transport 15%, Savings 10%, Other 20%.
How much more is spent on rent than on food?
A. $840
B. $480
C. $360
D. $1,320
Solution: C. $360
A bar graph compares two phone plans’ monthly costs. The y-axis starts at $50 (not $0), marked 50, 60, 70, 80. Plan A bar reaches 60; Plan B bar reaches 75. Plan B’s bar looks three times as tall.
Which statement is supported by the data?
A. Plan B costs three times as much as Plan A.
B. Plan B costs $15 more per month than Plan A.
C. Plan B costs $25 more per month than Plan A.
D. Plan A costs more than Plan B.
Solution: B. Plan B costs $15 more per month than Plan A.
Common Mistakes (L1 Interference)
â Wrong: bar at the 3rd gridline (scale = 5 per line) â reading 3 â Correct: 3rd line Ă 5 = 15 Why it happens: Myanmar school graphs almost always use 1-per-line scales, so eyes default to counting lines. On the GED the scale is a deliberate variable â 10 seconds confirming “what is each line worth?” is the highest-value 10 seconds on the test.
â Wrong: “rent 35%, food 20%” â “rent costs $15 more” â Correct: 35% â 20% = 15%, then 0.15 Ă $2,400 = $360 Why it happens: Students treat the percent sign as decoration. Drill the reflex: a percent is “out of 100” â it becomes money only after multiplying by the total.
â Wrong: “how much more is rent than food?” â answering $840 (rent alone) â Correct: finish both steps â $360, as in Example 3 Why it happens: The brain celebrates finding a number and stops â and the GED always includes the half-finished answer among the choices. Write both steps before touching the calculator.
â Wrong: Plan B’s bar looks 3Ă taller â “three times as much” â Correct: read the axis â $75 vs $60, a $15 difference; the axis starts at $50 Why it happens: Visual intuition overrides numerical reading â exactly what truncated axes exploit. When bars look shockingly different, check where the y-axis starts.
Pro-Tips for High Scorers (College Ready)
GED áááşášááťáŹ ááťá˝ááşá¸ááťááşááąá¸ â Data ááŹááŹááźááşááźááşá¸ (áááŹá¸ááťáŹá¸áážááˇáş ááááşááťáŹá¸)
Data ááąá¸áá˝ááşá¸áá˝áąáᏠGED áá˛áˇ áááşááąáŹááşá፠â áĄáá˝ááşááťááşááááˇáş ááąáŹáşááźá°áᏠááážáá ááąá¸ááśáá˛áˇ áĄáášáááŹáááşášááťáŹ ááážá â ááŹá¸ááááşá ááťááşá¸ááááşá á ááşáááŻááşá¸ááááşá áááŹá¸áá˝áą áááŻáá ááŻááşáááşááŻáśááŤáá˛á ááŽáááşááąáŹááşá¸ááŹá ááŽááťá˝ááşá¸ááťááşáážáŻáá°áá˛áˇ GED Science áá˛áˇ Social Studies ááąá¸áá˝ááşá¸ áá% áááˇáş ááźáąáááŻááşááŤáááşá ááŽáážáŹ áá áşááŹááŽáᏠááŹááŹáááş ááŻáśá¸ááŻááŻáśá¸áážáŹ áĄááťááŻá¸ááąá¸ááŤáááşá
áĄááá áĄáá°áĄáááťáŹá¸
áĄááąá¸á áááş áážááşá¸áááşá¸ááťááşááťáŹá¸áážááˇáş áááşá¸ááťá°ááŹááťáŹá¸
áĄáááˇáş ááŻá â áĄáá˝ážááşá¸áá˝áąáá˛áˇ á ááąá¸ááᯠáĄáááşáááşááŤ
ááŹá¸áá áşáᯠááŤáážáááŻááş áĄáážááşáá áşááŻááž áááźááˇáşáááş áĄáᏠááŻáśá¸áᯠáááşá፠â ááąáŤááşá¸á ááşá áĄáá˝ážááşá¸ááťáŹá¸á á ááąá¸ (áá áşááťááşá¸ááťááşá¸ ááŹáááşáááŻá¸áá˛?)á GED á á ááąá¸ááᯠááááş ááźáąáŹááşá¸ááŤáááşá áᎠáá á áášáááˇáşáᏠáááşáááŻá¸áĄáážáááŻáśá¸ áá á áášáááˇáşááŤá
ááááşáĄááťááŻá¸áĄá áŹá¸áááŻááş áááşáááşá¸
ááŹá¸ááááş: áĄááźááˇáşááŻáśá¸ááŹá¸ = áĄááźáŽá¸ááŻáśá¸áááşáááŻá¸á áážá áşáááşááŹá¸áážáŹ áĄááąáŹááşáážá áşááąáŹááşá áĄáŻááşá áŻáážá áşááŻá ááťááşá¸ááááş: áááşááąááŹá¸á ááťááąááŹá¸? áĄáááşááŻáśá¸áĄá áąáŹááşá¸á áĄááźááşááŻáśá¸ááźáąáŹááşá¸áá˛áážáŻá á ááşáááŻááşá¸ááááş: ááŹáááŻááşáážáŻááşá¸áá˝áą ááá% ááźááˇáşááááşá áá˝áąáááŹá = (ááŹáááŻááşáážáŻááşá¸ á 100) Ă á áŻá áŻááąáŤááşá¸á ááŹáááŻááşáážáŻááşá¸áá˝áą áĄáááşááŻááşááźáŽá¸ááž áá áşááŤáááşá¸ ááźážáąáŹááşááŤá áááŹá¸: áááşáĄáááşá¸á áááşááąáŹáşááśáᲠáĄáááşááźáŻááŤá
áážá áşáááˇáşáá˝ááşááťááşáážáŻááťáŹá¸
áááşáááŻá¸áážá áşáᯠáááşááźáŽá¸ááž ááąáŤááşá¸á ááşááá˛áˇ ááąá¸áá˝ááşá¸áá˝áą ááťáŹá¸ááŤáááşá ááá˝ááşáááş áĄáááˇáşáážá áşááŻááŻáśá¸ ááąá¸á፠â áĄááźáŽá¸ááááşáá˛áˇáĄááźáąááᯠáá˝áąá¸ááťááşá ááŹáážáŹ ááááş áááˇáşááŹá¸áááŻáˇááŤá
áážááˇáşá áŹá¸áá˛áˇááááşáá˝áą
ááŹá¸áá˝áą áĄáśáˇááźá ááŹáá˝áŹááąáááş y-áááşáááŻá¸ áááşá á ááᲠá á áşááŤá á á áá áááş áá˝áŹááźáŹá¸áážáŻááąá¸ááąá¸á ááźáŽá¸ááťááşáááşáááŤáááşá ááááşá¸áá˝áąáááŻáᲠááŻáśááŤá “NOT” ááąá¸áá˝ááşá¸áá˝áąáážáŹ áááŻááşáážáŹááąááŹá áážáŹá¸áá˛áˇ ááŻááşááźááşááťááşááŤá
áážááŻááşá¸áážááşááťááş â GED Data ááąá¸áá˝ááşá¸ááťáŹá¸áážááˇáş ááťáąáŹááşá¸ ááááşááąá¸áá˝ááşá¸ááťáŹá¸
ááźááşááŹáááşášááťáŹá á áŹáááşá¸áĄááşá¸ááᯠáá˝ááşááá˛áˇ ááąáŹáşááźá°ááŹáá˝áąáááŻáˇ áááąáŹááŹá¸ááŤáááşá GED á data ááᯠáááşááá˛áˇ ááŹááşáááşá¸áááŻáˇ áááąáŹááŹá¸ááŤáááş â áá˝ááşááťááşáážáŻá áĄá áááşáĄáááŻááşá¸ááąá¸ááąá¸á፠â
| áĄááťááş | GED Mathematical Reasoning | ááźááşááŹááťáąáŹááşá¸ á áŹáááşá¸áĄááşá¸ |
|---|---|---|
| áĄááá ááťá˝ááşá¸ááťááşáážáŻ | ááááşáá˛áˇáááŹá¸áá˝áą áááşá áážááŻááşá¸áážááşá ááááŻáśá¸ááŻááş | ááąá¸ááŹá¸áá˛áˇ data áááą ááťááşá¸ááťáž/áĄáááş/áĄáá˝áąáˇáááťáŹá¸ááŻáśá¸ áá˝ááş |
| ááááşáĄááťááŻá¸áĄá áŹá¸ááťáŹá¸ | ááŹá¸á ááťááşá¸á á ááşáááŻááşá¸á áážá áşáááşááŹá¸á áááŹá¸ â áááşááááˇáşáᏠáá˝áąá¸ | áĄááťáŹá¸á ᯠáááŻá¸áážááşá¸áá˛áˇ ááŹá¸ááááşááťáŹá¸ |
| ááŹáááŻááşáážáŻááşá¸ááąá¸áá˝ááşá¸ááťáŹá¸ | á ááşáááŻááşá¸ááááşáááą: ááŹáááŻááşáážáŻááşá¸ááŻááşá ááźáŽá¸ááž á áŻá áŻááąáŤááşá¸áá˛áˇ ááźážáąáŹááş | ááŹáááŻááşáážáŻááşá¸ááᯠááŽá¸ááźáŹá¸áá˝ááşááťááşáážáŻ |
| áážááˇáşáá˝ááşááťáŹá¸ | ááźááşááąáŹááşááŹá¸áá˛áˇ áááşáááŻá¸ááťáŹá¸á áážááˇáşá áŹá¸áá˛áˇá ááąá¸ááťáŹá¸ â ááááşá ááááş ááááşáᏠ| ááááşáá˝áą áááŻá¸áááŻá¸ááŹá¸ááŹá¸ áĄááťááŻá¸ááťáá˝á˛ |
| áĄááźáŹá¸ááŹááŹáááşáááşáááŻá¸ | ááŽááťá˝ááşá¸ááťááşáážáŻáá°áá˛áˇ GED Science/Social Studies áá˛áˇ áá% áááˇáş ááźáąáááŻááş | á áŹáááşá¸áĄááşá¸á áááşášááťáŹáĄáááşá¸áá˛áᲠ|
ááąáˇááťááˇáşáááş áĽáááŹááťáŹá¸ (GED ááŻáśá áś ááŻá ášááŹááťáŹá¸)
ááááşáĄááťááŻá¸áĄá áŹá¸áĄááááá˝áąááᯠáá˝ážááşá¸ááźáŻáśáá˛áˇ ááŻá ášáᏠá ááŻááşá áá áşááŻááťááşá¸á áŽáážáŹ ááŻáśá¸á áśáĄáááŻááşá¸ ááąáŹááşááťáąáŹááşáĄáááşá¸ááŻáśá¸ áá áşáᯠáážááşááŹá¸ááŤáááşá
ááŹá¸ááááşáá áşáᯠáááŻááşáá˛áˇááąáŹááşá¸áĄáŹá¸ (ááŹááťáŽááąáŤáşááŹáá˛áˇ) ááźááŤáááşá y-áááşáááŻá¸áážáŹ 0, 10, 20, 30, 40, 50á ááŹá¸áá˝áą â Jan: 20, Feb: 35, Mar: 30, Apr: 45á
áááşááážáŹ ááąáŹááşá¸áĄáŹá¸ áĄááźááˇáşááŻáśá¸áá˛á January áááş áááşááąáŹááş áááŻááťáŹá¸ááá˛?
A. Aprilá $2,500 áááŻááťáŹá¸
B. Aprilá $25 áááŻááťáŹá¸
C. Februaryá $1,500 áááŻááťáŹá¸
D. Aprilá $4,500 áááŻááťáŹá¸
áĄááźáą: A. Aprilá $2,500 áááŻááťáŹá¸
ááťááşá¸ááááşáá áşáᯠáĄáá°ááťáááş ááźááŤáááş â 9am â 68°F, 11am â 74°F, 1pm â 82°F, 3pm â 79°Fá
áááşáĄááťáááşáážá áşááŻááźáŹá¸ áĄáá°ááťáááş áĄááťáŹá¸ááŻáśá¸ áááşáá˝áŹá¸ááá˛?
A. 9amâ11am
B. 11amâ1pm
C. 1pmâ3pm
D. 9amâ3pm
áĄááźáą: B. 11amâ1pm
ááááŹá¸á áŻáá áşá áŻáá˛áˇ áá ááş $2,400 áááşááťááş â áĄáááşáá 35%, áĄá áŹá¸áĄááąáŹááş 20%, áá˝áŹá¸ááŹááąá¸ 15%, á áŻááąáŹááşá¸áá˝áą 10%, áĄááźáŹá¸ 20%á
áĄáááşááá áĄá áŹá¸áĄááąáŹááşáááş áááşááąáŹááş áááŻááŻáśá¸ááá˛?
A. $840
B. $480
C. $360
D. $1,320
áĄááźáą: C. $360
ááŹá¸ááááşáá áşáᯠááŻááşá¸áĄá áŽáĄá ááş áážá áşááŻáá˛áˇ áá ááşááŻááşááťá ááááş áážááŻááşá¸áážááşááźááŤáááşá y-áááşáááŻá¸á $50 á á ááŹá¸ááŤáááş ($0 áááŻááşááŤ)á 50, 60, 70, 80á Plan A ááŹá¸á 60 áĄááá Plan B ááŹá¸á 75 áĄááá Plan B áá˛áˇ ááŹá¸áᏠááŻáśá¸á ááźááˇáşáááşáááŻáˇ áááşáááŤáááşá
data á áááşááŻááşááźááşááťááşááᯠááąáŹááşááśááá˛?
A. Plan B á Plan A áááş ááŻáśá¸á áááŻááŻááşáááşá
B. Plan B á Plan A áááş áá áşá $15 áááŻááŻááşáááşá
C. Plan B á Plan A áááş áá áşá $25 áááŻááŻááşáááşá
D. Plan A á Plan B áááş áááŻááŻááşáááşá
áĄááźáą: B. Plan B á Plan A áááş áá áşá $15 áááŻááŻááşáááşá
áĄááźá áşááťáŹá¸ááąáŹ áĄáážáŹá¸ááťáŹá¸ (L1 Interference)
â áážáŹá¸: ááááááťááşá¸áĄáá ááąáŹááşáá˛áˇ ááŹá¸ (á ááąá¸ = áá áşááťááşá¸ á ) â 3 áááŻáˇ áááşááááźááşá¸ â áážááş: ááááááťááşá¸ Ă 5 = 15 áĄáážáŹá¸á áĄáááşá¸ááś: ááźááşááŹááťáąáŹááşá¸ááááşáá˝áąáážáŹ áá áşááťááşá¸ á áážáŻááşá¸ááŽá¸ááŤá¸ ááŻáśá¸ááŹááźáąáŹááˇáş ááťááşá áá ááťááşá¸ááąáá˝ááşáᏠáĄáááŻááᯠááźá áşááąááŤáááşá GED áážáŹ á ááąá¸áᏠááááş ááźáąáŹááşá¸áá˛áááŻááşáá˛áˇ áĄááťááşá፠⠓áá áşááťááşá¸ááťááşá¸ ááŹáááşáááŻá¸áá˛?” áĄáááşááźáŻáá˛áˇ áá á áášáááˇáşáᏠáááşáááŻá¸áĄááźááˇáşááŻáśá¸ áá á áášáááˇáşááŤá
â áážáŹá¸: “áĄáááşáá 35%, áĄá áŹá¸áĄááąáŹááş 20%” â “áĄáááşááá $15 áááŻááŻááşáááş” â áážááş: 35% â 20% = 15%, ááźáŽá¸ááž 0.15 Ă $2,400 = $360 áĄáážáŹá¸á áĄáááşá¸ááś: ááŹáááŻááşáážáŻááşá¸áááşášááąáááᯠáĄáážáááşáááŻáˇ áááąáŹááŹá¸ááŤáááşá áĄáááŻáĄááťáąáŹááşááŻáśáˇááźááşáážáŻ ááąáˇááťááˇáşá፠â ááŹáááŻááşáážáŻááşá¸áááŻáᏠ“ááá áá˛á” â á áŻá áŻááąáŤááşá¸áá˛áˇ ááźážáąáŹááşááźáŽá¸áážáᏠáá˝áą ááźá áşááŹááŹááŤá
â áážáŹá¸: “áĄáááşááá áĄá áŹá¸áĄááąáŹááşáááş áááşááąáŹááş áááŻááŻáśá¸ááá˛?” â $840 (áĄáááşáááááşáááş) â áážááş: áĄáááˇáşáážá áşááŻááŻáśá¸ áĄááźáŽá¸ááŻááş â $360á áĽááᏠá áĄáááŻááşá¸ áĄáážáŹá¸á áĄáááşá¸ááś: áŚá¸áážáąáŹááşá ááááşá¸áá áşáᯠáá˝áąáˇááŹáá˛áˇ áááşáááŻááşááŤáááş â GED á áĄááźáŽá¸ááááşáá˛áˇáĄááźáąááᯠáĄááźá˛ áááˇáşááŹá¸ááŤáááşá calculator ááááŻááşáááş áĄáááˇáşáážá áşááŻááŻáśá¸ ááąá¸ááŤá
â áážáŹá¸: Plan B áá˛áˇ ááŹá¸áᏠá á ááźááˇáşáááş â “ááŻáśá¸á áááŻááŻááşáááş” â áážááş: áááşáááŻá¸ááᯠáááşá፠â $75 áá˛áˇ $60á $15 áá˝áŹááŤáááşá áááşáááŻá¸á $50 á á ááŹá¸áááŻáˇá፠áĄáážáŹá¸á áĄáááşá¸ááś: áĄááźááşáĄáŹááŻáśá ááááşá¸áááşááŹááᯠáá˝ážááşá¸áááŻá¸áá˝áŹá¸ááŤáááş â ááźááşááąáŹááşááŹá¸áá˛áˇ áááşáááŻá¸áá˝áą áĄááŻáśá¸ááťááŹáĄáááĄááťááŤá ááŹá¸áá˝áą áĄáśáˇááźá áᏠáá˝áŹááąáááş y-áááşáááŻá¸ áááşá á ááᲠá á áşááŤá
áĄáážááşááąáŹááşá¸ááážááááş áĄááźáśááźáŻááťááşááťáŹá¸ (Pro-Tips)
Interactive Quiz: Test Your Knowledge ááąáˇááťááˇáşáááşá¸: áááˇáşáá˛áˇ ááŹá¸áááşáážáŻááᯠá ááşá¸áááşááźááˇáşááŤ
(a) How many students chose sports?
(b) How many more students chose sports than music?
(a) áĄáŹá¸áá áŹá¸ááᯠáá˝áąá¸áá˛áˇ ááťáąáŹááşá¸ááŹá¸ áááşáážá áşááąáŹááşáá˛?
(b) ááŽááááş áĄáŹá¸áá áŹá¸ááᯠáá˝áąá¸áá° áááşáážá áşááąáŹááş áááŻááťáŹá¸ááá˛?
(ááąá¸áá˝ááşá¸: áááşáĄááźáąáĄáá˝á˛á áážááşáááşááá˛á)
