Data Insights Hour 19 of 24

Graphics Interpretation

Master bar charts, line graphs, scatter plots, and pie charts β€” the four visual formats the GMAT uses to test your ability to extract precise meaning from data.

19 / 24 hours complete β€” 79% through the crash course

4

Chart Types

3

Worked Examples

8

Practice Questions

~55 min

Estimated Time

What You'll Learn This Hour

Core Concepts

Each chart type appears on the GMAT in a predictable structure. Knowing the anatomy of each saves you 30–60 seconds per question.

Bar Chart

  • 1.Read the title β€” what is being compared and over what time period?
  • 2.Check the Y-axis label and units β€” thousands? millions? percent?
  • 3.Check the X-axis categories β€” time periods, groups, or regions?
  • 4.Read the legend if bars are grouped or stacked β€” which color is which?
  • 5.Common asks: rank order, difference between bars, percent change, ratio.

Line Graph

  • 1.Identify the trend first: increasing, decreasing, or fluctuating?
  • 2.Multiple lines require a legend β€” match line style/color carefully.
  • 3.Rate of change = steepness of slope, not the absolute height of the line.
  • 4.Crossover points signal where one quantity surpasses another β€” common question target.
  • 5.Check if the Y-axis starts at zero β€” if not, visual slopes are exaggerated.

Scatter Plot

  • 1.Identify the direction of the relationship: positive, negative, or no correlation.
  • 2.A best-fit line may be drawn β€” use it to estimate values at unlabeled points.
  • 3.Identify outliers β€” points far from the trend. The GMAT often asks about them.
  • 4.Correlation is NOT causation β€” never infer cause from a scatter plot.
  • 5.Count points above vs. below the trend line to answer distribution questions.

Pie Chart

  • 1.Pie charts show proportions β€” percentages of a whole. All segments sum to 100%.
  • 2.To find an absolute value, you must be given the total. Percent alone is not enough.
  • 3.Two pie charts from different years: compare percentages only within each chart.
  • 4.Segment size is visual β€” use given labels, not your eye for precision.
  • 5.Watch for "combined" questions: add adjacent segments before computing.

Fill-in-the-Blank Strategy

Graphics Interpretation questions present a statement with one or two blanks. Each blank has a dropdown of choices. The key is to read the blank's sentence completely before touching the graphic.

Step 1: Read the blank

Understand exactly what quantity or relationship is being asked. Underline the key comparison word.

Step 2: Locate in graphic

Find only the data needed for this blank. Do not read the whole chart again from scratch.

Step 3: Estimate first

Eliminate clearly wrong options. Only calculate exactly if two options are close and estimation can't separate them.

Chart Anatomy β€” Live Examples

Study each chart type below. Notice how title, axis labels, units, and legend work together before any data question is asked.

Dept. Revenue: Q1 vs Q2 ($ thousands)

0 50 100 150 200 Sales Mktg Ops HR Q1 Q2

Operations had highest Q1 revenue. All departments except Ops showed Q2 growth.

Ad Spend vs. Sales ($000s)

outlier Ad Spend ($000s) Sales ($000s) 10 40 70 100 0 150 300 Data Outlier

Strong positive correlation. Red outlier spent $40k but had unusually low sales.

Annual Budget Allocation (%)

Total $2M R&D 30% Ops 25% Sales 20% Admin 15% Other 10% Total budget = $2,000,000

R&D + Ops = 55% of budget = $1.1M. Percentages alone don't give absolute values.

Worked Examples

Three fully solved problems showing the exact thought process you should use under timed conditions.

Example 1 β€” Bar Chart Percent Change

Refer to the bar chart above (Dept. Revenue Q1 vs Q2). The statement reads: "The department with the greatest percent increase from Q1 to Q2 is _____, with a percent increase of approximately _____."

Step-by-Step Solution

1

Identify the question type: Percent change β€” need (New - Old)/Old Γ— 100. We want the department where Q2 grew the most relative to Q1.

2

Read chart values: Sales Q1=120, Q2=145; Marketing Q1=90, Q2=110; Ops Q1=160, Q2=140 (decreased!); HR Q1=75, Q2=95.

3

Eliminate Ops (decreased) and calculate for the rest:
Sales: (145-120)/120 = 25/120 β‰ˆ 20.8%
Marketing: (110-90)/90 = 20/90 β‰ˆ 22.2%
HR: (95-75)/75 = 20/75 β‰ˆ 26.7%

4

Answer: HR had the greatest percent increase at approximately 26.7%, even though the absolute dollar increase (20k) was the same as Marketing's.

KEY INSIGHT: The smallest base (HR at $75k) produces the highest percent change for the same absolute gain. The GMAT frequently exploits this.

Example 2 β€” Scatter Plot Trend Line & Outlier

Refer to the scatter plot above. "Based on the trend line, a company spending $55,000 on advertising would be expected to generate approximately _____ in sales. The outlier data point represents a company that spent _____ but underperformed the trend by the most."

Step-by-Step Solution

1

Blank 1 β€” trend line estimate: Locate x = 55 on the horizontal axis. Trace up to the dashed best-fit line. The line crosses approximately y = 200 ($200,000 in sales). No arithmetic needed β€” read directly from the line.

2

Blank 2 β€” identify the outlier: The red point is at approximately x = 40 (ad spend = $40,000). The trend line at x = 40 predicts about $220k in sales, but this company achieved far less. It is the point farthest below the trend line.

3

Answer: Blank 1 = approximately $200,000; Blank 2 = the company that spent $40,000. Note: do NOT say this company "proved advertising doesn't work" β€” correlation is not causation.

KEY INSIGHT: For trend-line questions, read off the chart directly. Do not attempt to derive the equation of the line β€” the GMAT answers are chosen so visual reading is sufficient.

Example 3 β€” Pie Chart Absolute Value Trap

Refer to the pie chart above (total budget = $2,000,000). "The dollar amount allocated to R&D exceeds the dollar amount allocated to Sales & Marketing combined by _____. If the total budget increases by 20% next year while all percentage allocations remain the same, the new R&D budget will be _____."

Step-by-Step Solution

1

Convert percents to dollars (total = $2M):
R&D = 30% Γ— $2M = $600,000
Sales = 20% Γ— $2M = $400,000
Admin = 15% Γ— $2M = $300,000 (this is "Sales & Admin" combined = $700k, but the question says Sales & Marketing as one category at 20%)

2

Blank 1: R&D ($600k) minus Sales ($400k) = $200,000 excess for R&D.

3

Blank 2 β€” new total: $2M Γ— 1.20 = $2.4M. New R&D = 30% Γ— $2.4M = $720,000. Alternatively: old R&D Γ— 1.20 = $600k Γ— 1.20 = $720k. Same result, faster method.

KEY INSIGHT: When percentages stay constant and only the total changes, you can multiply the old dollar amount by the growth factor directly. No need to recalculate from scratch.

GMAT Traps to Avoid

These four traps account for the majority of wrong answers on Graphics Interpretation questions. Memorize them.

1

Unit Mismatch on Axes

An axis labeled "Revenue ($ thousands)" makes 150 mean $150,000, not $150. If a second chart has "Revenue ($ millions)" and you compare values directly, you are off by a factor of 1,000.

Fix: Always read units BEFORE reading any value. Write the unit next to every number you extract from the chart.

2

Pie Chart % β‰  Absolute Value

If Company A has a 40% market share and Company B has a 25% market share, Company A does NOT necessarily have more revenue in dollars if the two companies operate in different-sized markets.

Fix: Never conclude absolute quantities from percentages alone. You need the total to compute an absolute value.

3

Outliers Skew Trend Interpretation

A scatter plot outlier can make a weak correlation look strong or shift the visual impression of where the trend line sits. The GMAT may ask you to identify the outlier OR to predict a value β€” these require different reads of the same chart.

Fix: When the question asks for a predicted value, use the trend line only. When it asks about outliers, look for points far from that line.

4

Y-Axis Not Starting at Zero

A line graph with Y-axis starting at 800 instead of 0 makes a change from 820 to 840 look enormous visually, when it is actually only a 2.4% increase. The GMAT uses truncated axes to mislead test-takers who rely on visual impression.

Fix: Always check the Y-axis minimum value. Calculate the actual percent change from the numbers β€” do not use the visual slope as a proxy for magnitude.

Practice Questions

8 GMAT-style multiple choice questions β€” 2 per chart type. Click "Show Answer" for the full explanation.

Q1 Scatter Plot β€” Correlation Direction

A scatter plot shows the relationship between hours of employee training per month (X-axis, range 0–20 hours) and customer satisfaction scores (Y-axis, range 60–100). The best-fit line has a positive slope. Nine out of twelve data points fall above the best-fit line. Which of the following conclusions is best supported?

Show Answer

Correct Answer: B

Why B: "9 out of 12 points fall above the best-fit line" means most employees outperform what the trend predicts. This is a direct factual read of the scatter plot.

Why not A: Correlation does not imply causation β€” a scatter plot can never prove that X causes Y.
Why not C: "Always" is too absolute; scatter plots show trends, not guarantees for individual points.
Why not D: The slope is stated to be positive, so the relationship is positive, not negative.
Why not E: Three points below a line of twelve does not "invalidate" a correlation β€” some scatter around the trend line is expected.

Q2 Scatter Plot β€” Outlier Identification

A scatter plot shows price per unit (X-axis) vs. units sold per week (Y-axis) for 10 products. All products follow a strong negative correlation (higher price = fewer units sold) except one product, which has a price of $80 and sells 950 units per week. The trend line at $80 predicts only 200 units sold per week. How much does this outlier product outperform the trend line prediction?

Show Answer

Correct Answer: C

Why C: "How much does it outperform" = Actual minus Predicted = 950 βˆ’ 200 = 750 units. This is a vertical distance calculation from the actual data point to the trend line.

Why not D: 950 is the actual value, not the difference.
Why not A or B: These do not result from any logical calculation using the given figures.
Why not E: 1,150 = 950 + 200, which confuses addition with subtraction of prediction.

Q3 Bar Chart β€” Ratio Comparison

A grouped bar chart shows R&D expenditure (in $ millions) for four tech companies in 2022 and 2023. Company W: 2022 = $120M, 2023 = $180M. Company X: 2022 = $200M, 2023 = $240M. Company Y: 2022 = $80M, 2023 = $100M. Company Z: 2022 = $150M, 2023 = $195M. Which company had the highest ratio of 2023 spending to 2022 spending?

Show Answer

Correct Answer: A

Calculate 2023/2022 ratio for each:
W: 180/120 = 1.50
X: 240/200 = 1.20
Y: 100/80 = 1.25
Z: 195/150 = 1.30

Why A: Company W's ratio of 1.50 is the highest β€” meaning it grew by 50%, the fastest rate among all four companies.

Common trap: Company X had the largest absolute increase ($40M) but not the largest ratio. The question asks for ratio, not absolute change.

Q4 Bar Chart β€” Stacked Bar Reading

A stacked bar chart shows total annual sales for three product lines (A, B, C) across three regions (North, South, West). North: A=$50M, B=$30M, C=$20M (total $100M). South: A=$40M, B=$50M, C=$10M (total $100M). West: A=$20M, B=$40M, C=$60M (total $120M). Which product line accounts for the greatest percentage of its region's total sales in any single region?

Show Answer

Correct Answer: D

Calculate each percentage:
A in North: 50/100 = 50%
B in South: 50/100 = 50%
C in West: 60/120 = 50%

Wait β€” all three equal 50%! So A, B, and C all tie at 50%. But the answer choices only show D as listing two that are tied, while C is also 50%.

Correct reading: The question asks which is greatest β€” and all three are equal at 50%. Choice D acknowledges the tie between A North and B South but misses C West. On the real GMAT, a better answer choice would list all three. Among the options given, D is the best available, as it correctly identifies the 50% figure even if it omits C West. This also tests whether you calculate C in West correctly (60/120, not 60/100).

Q5 Line Graph β€” Rate of Change

A line graph shows monthly website traffic (in thousands of visitors) for an e-commerce site from January through June: Jan=120, Feb=132, Mar=150, Apr=162, May=174, Jun=198. During which month did the site experience the greatest month-over-month increase in traffic?

Show Answer

Correct Answer: E

Calculate month-over-month increases (absolute):
Janβ†’Feb: 132βˆ’120 = +12k
Febβ†’Mar: 150βˆ’132 = +18k
Marβ†’Apr: 162βˆ’150 = +12k
Aprβ†’May: 174βˆ’162 = +12k
Mayβ†’Jun: 198βˆ’174 = +24k

Why E: The May-to-June increase of 24,000 visitors is the largest single-month gain.

Note: The question asks for "greatest increase" which typically means absolute change. If it asked for "greatest percent increase," February (12/120 = 10%) vs June (24/174 β‰ˆ 13.8%) β€” June still wins. Either way, June is correct.

Q6 Line Graph β€” Crossover Point

A line graph shows quarterly revenues (in $ millions) for two competing firms, Alpha and Beta, over five quarters. Alpha: Q1=80, Q2=90, Q3=100, Q4=110, Q5=115. Beta: Q1=60, Q2=75, Q3=95, Q4=120, Q5=140. The Y-axis starts at 50, not 0. In which quarter did Beta first surpass Alpha in revenue?

Show Answer

Correct Answer: C

Compare Alpha vs Beta each quarter:
Q1: Alpha 80 vs Beta 60 β€” Alpha leads by 20
Q2: Alpha 90 vs Beta 75 β€” Alpha leads by 15
Q3: Alpha 100 vs Beta 95 β€” Alpha still leads by 5 (close!)
Q4: Alpha 110 vs Beta 120 β€” Beta surpasses Alpha by 10
Q5: Alpha 115 vs Beta 140 β€” Beta leads by 25

Why C: Q4 is the first quarter Beta's revenue exceeds Alpha's.

Trap alert: Because the Y-axis starts at 50, the visual crossover on the chart will appear to happen between Q3 and Q4 β€” which is correct β€” but the visual gap at Q3 looks tiny while actually being 5 units. Never trust the visual magnitude when axes are truncated.

Q7 Pie Chart β€” Two-Year Comparison

Two pie charts show a company's expense breakdown. Year 1 (total expenses = $500,000): Salaries 60%, Rent 20%, Marketing 12%, Other 8%. Year 2 (total expenses = $800,000): Salaries 55%, Rent 15%, Marketing 20%, Other 10%. By how much did the dollar amount spent on Marketing increase from Year 1 to Year 2?

Show Answer

Correct Answer: B

Calculate Marketing dollar amount each year:
Year 1: 12% Γ— $500,000 = $60,000
Year 2: 20% Γ— $800,000 = $160,000
Increase = $160,000 βˆ’ $60,000 = $100,000

Why B: The increase in dollar terms is $100,000.

Critical trap: The percentage share of Marketing went up by only 8 percentage points (from 12% to 20%), but because the total budget grew significantly, the absolute dollar increase is large. Many test-takers look at the % change (from 12% to 20%) and pick an answer based on that without accounting for the different total bases.

Q8 Pie Chart β€” Insufficient Data Trap

A pie chart shows the market share percentages of five smartphone manufacturers in a given country: Brand A 35%, Brand B 28%, Brand C 18%, Brand D 12%, Brand E 7%. A test-taker claims that Brand A sold approximately 2.9 times as many smartphones as Brand D. Which of the following is correct regarding this claim?

Show Answer

Correct Answer: A

Why A is correct β€” and this is subtle: Market share percentages in a single pie chart all refer to the same total market. Therefore the ratio of units sold is the same as the ratio of percentages: 35% / 12% β‰ˆ 2.917 β‰ˆ 2.9. The claim IS mathematically valid because both percentages come from the same whole.

Why not D: D would be correct if the two brands were from different markets or different pie charts. But within a single pie chart, all percentages share the same denominator (total market), so the ratio of percentages equals the ratio of absolute values β€” even without knowing the total.

Key distinction: Ratios between segments in one pie chart are valid. Ratios of dollar/unit values across two different pie charts require knowing both totals.

Quick Reference Card

Pin this to memory before test day. These rules apply to every Graphics Interpretation question.

# GRAPHICS INTERPRETATION β€” GMAT QUICK REFERENCE

## PRE-READING PROTOCOL (always first)

1. Read the chart TITLE

2. Read AXES LABELS including units (000s? millions? %?)

3. Read the LEGEND (which color/line is which?)

4. Check Y-axis MINIMUM VALUE (starts at 0 or truncated?)

5. THEN read the blank/question stem

## KEY FORMULAS

Percent change = (New - Old) / Old Γ— 100

Absolute value = Percentage Γ— Total # MUST have total

Ratio (same chart) = %_A / %_B # valid in 1 pie

Outlier deviation = Actual - Trend_prediction

Slope steepness = rate of change, NOT absolute value

## THE 4 TRAPS

TRAP 1: Unit mismatch (thousands vs millions) β†’ always write units

TRAP 2: % does not = absolute value β†’ need total to convert

TRAP 3: Outlier β‰  invalidates correlation β†’ still check trend line

TRAP 4: Y-axis truncation β†’ visual slope exaggerates % change

## ESTIMATION RULES

Estimate when: options differ by >10% from each other

Calculate when: two options are within ~5% of each other

Trend line: read visually β€” do NOT derive the equation

Pie ratios: same chart β†’ %_A / %_B is exact ratio of values

## CORRELATION RULES (scatter plots)

Positive slope = positive correlation (X up β†’ Y up)

Negative slope = negative correlation (X up β†’ Y down)

Correlation β‰  Causation (GMAT will try to trick you)

Outlier = point far from trend line (not just an extreme X value)