Reading charts, scales and graphical relationships
Decode the visual encoding before comparing, estimating or extending a pattern.
GMAT35 min study guide9 indexed sections
BY THE END, YOU CAN
Explain read axes-scales-legends
Explain bar and line charts
Explain pie-chart proportions
Explain scatter plots and association
Explain fitted-line slope
Explain statistical distributions
Explain pictographs and symbol values
Explain nested or magnified time scales
Explain interpolate versus extrapolate
BEFORE YOU START
Coordinate axes, fractions and percentages
Difference between measured values and a model
Original educational lesson. Work through the examples before revealing the practice answers. This original lesson supports current GMAT study through an editorial skill map. It does not reproduce official questions, predict exam content or guarantee a score.
LEARN THROUGH ORIGINAL PRACTICE
Original GMAT-style worked examples and practice
All passages, examples and exercises here are original. No official GMAC questions, choices or explanations are reproduced. This independent preparation resource is not affiliated with or endorsed by GMAC. GMAT is a trademark of the Graduate Management Admission Council.
01 / UNDERSTAND & APPLY
Read the visual contract
Graphics Interpretation converts a picture into constrained statements, often completed with dropdown selections. Before reading values, identify the horizontal and vertical variables, units, tick spacing, legend and whether the figure reports observations or a model. A large visual gap may reflect scale design rather than a large substantive effect.
All figures here use original fictional data. The first figure has two separate panels: regional counts North 40, South 60 and West 100 orders; and daily output at days 0,1,2,3 of 20,35,30,50 units. Lines connect daily observations as a visual guide, without asserting constant production between measurements.
Full-size scientific diagram. Swipe or scroll horizontally; keyboard users can focus the diagram and use arrow keys.
Separate original datasets. Regional order counts and daily output units must not be mixed.
ORIGINAL WORKED EXAMPLE
Read two encodings
First figure: Which region has the largest order count, and on which observed day is output lowest? Give both answers.
The regional bar heights are 40,60,100; West has the largest count.
The line panel’s observed outputs are 20,35,30,50; minimum is 20 at day 0.
The axes represent different variables, so do not compare a bar’s physical height with a point in the other panel.
Answer West; day 0
02 / UNDERSTAND & APPLY
Bars compare categories; lines organize an ordered variable
A bar’s length encodes a magnitude, so a zero baseline normally makes direct length comparison meaningful. A truncated baseline can exaggerate apparent ratios. A line chart emphasizes ordered movement and can use a nonzero scale if clearly labeled; read values rather than comparing filled areas.
Connected points do not by themselves prove smooth change between observations. Distinguish a fall in the displayed variable from a fall in its rate of growth: output can increase while its growth slows.
ORIGINAL WORKED EXAMPLE
Difference versus growth
First figure: From day 1 to day 2, what is the change in output and the percentage change relative to day 1?
Values are 35 then 30, so the change is −5 units.
The initial base is 35: −5/35=−1/7≈−14.29%.
A lower line point means lower observed output here, not necessarily negative output.
Answer −5 units; approximately −14.29%
ORIGINAL PRACTICE · 1
First figure: Complete both blanks from choices {20, 40, 60, 100}: South exceeds North by ___ orders, and West has ___ orders. Select one value per blank.
Reveal answer & reasoning
20; 100
South−North=60−40=20, and the West bar is 100. These are two response parts of one exercise.
03 / UNDERSTAND & APPLY
A pie represents parts of a declared whole
A pie chart encodes proportions through sectors. Identify the total and check that categories partition it: mutually exclusive and collectively exhaustive categories sum to 100%. Overlapping memberships should not be forced into a pie without a clear partition rule.
The original pie uses 200 orders: online 50%, phone 30%, counter 20%. Sector angles are proportional to shares, but an exact label is preferable to measuring a rendered angle.
Full-size scientific diagram. Swipe or scroll horizontally; keyboard users can focus the diagram and use arrow keys.
Original data. Pie sectors partition 200 orders; a fitted scatter trend does not establish causation.
ORIGINAL WORKED EXAMPLE
Convert a share into a count
Pie panel: How many orders were placed by phone, and by how many did online orders exceed counter orders?
Phone=30% of 200=60.
Online=100 and counter=40.
The count difference is 60, while the percentage-point difference is 50−20=30 points.
Answer 60 phone orders; 60 more online than counter
ORIGINAL PRACTICE · 1
Pie panel: What angle corresponds to the counter sector?
Reveal answer & reasoning
72°
The counter share is 20%, so its angle is 0.20×360°=72°. This uses the part-to-whole encoding; no protractor is needed.
04 / UNDERSTAND & APPLY
A scatter plot pairs observations
Each point in a scatter plot represents one paired observation, not a category total. Read both coordinates together. An upward association means larger x tends to accompany larger y in the displayed data; it does not prove x causes y or that every successive point rises.
In the scatter panel, the observed pairs are (1,4),(2,8),(3,10),(4,10), with x operating hours and y parcels processed. The supplied fitted line is y=2x+3. It summarizes a trend; observed points need not lie on it.
ORIGINAL WORKED EXAMPLE
Observation versus fitted prediction
Scatter panel: At 3 hours, what is the observed count and the fitted-line prediction?
The point at x=3 has y=10 parcels.
The fitted model predicts 2×3+3=9 parcels.
The observation is 1 parcel above the fitted line, a residual of +1.
Answer Observed: 10; fitted: 9 parcels
ORIGINAL PRACTICE · 1
Scatter panel: Does the observed count increase at every step from x=1 through x=4? Select Yes or No.
Reveal answer & reasoning
No
Observed counts are 4,8,10,10. The final pair is equal, despite an overall positive association.
05 / UNDERSTAND & APPLY
A fitted-line slope is a change per unit of x
For y=mx+b, slope m=(change in predicted y)/(change in x). Units matter: parcels per operating hour differ from parcels. The intercept is the model’s value at x=0 and may fall outside the observed range.
If axes use different physical scales, a 45-degree line is not necessarily slope 1. Compute from labeled coordinates, not the angle on a screen. A fitted relationship may be useful within the data range without being reliable outside it.
ORIGINAL PRACTICE · 1
Scatter panel: The fitted value rises by how much from x=1.5 to x=3.5?
Reveal answer & reasoning
4 parcels
The horizontal change is 2 hours and slope is 2 parcels/hour, so predicted rise=2×2=4 parcels.
ORIGINAL PRACTICE · 2
Scatter panel: Does the intercept prove an idle station actually processes 3 parcels at zero operating hours?
Reveal answer & reasoning
No
The intercept 3 is a feature of the supplied fitted model. No observation at x=0 is shown, and a model extrapolation is not a measured fact.
06 / UNDERSTAND & APPLY
Read frequencies and interval conventions
A distribution groups observations by value or interval. In a histogram with equal-width bins, bar heights can represent counts. With unequal-width bins and density axes, area rather than height may represent frequency; always inspect the label.
The original wait-time histogram has counts 4 in [0,5), 8 in [5,10), 6 in [10,15), and 2 in [15,20] minutes, a total of 20 observations. Brackets include an endpoint; parentheses exclude it. Exact values within each bin are not supplied.
Full-size scientific diagram. Swipe or scroll horizontally; keyboard users can focus the diagram and use arrow keys.
Original data with explicit endpoint conventions. The symbol count and represented seat count differ.
ORIGINAL WORKED EXAMPLE
A grouped-data conclusion with a limit
Histogram panel: What fraction waited less than 10 minutes, and can the exact median wait be determined?
The first two bins contain 4+8=12 of 20 observations, so fraction=12/20=60%.
The median uses positions 10 and 11. Both lie in the [5,10) bin because cumulative count rises from 4 to 12 there.
Their exact values are not known. The median lies at least 5 and below 10 minutes, but no exact median follows.
Answer 60%; exact median cannot be determined
ORIGINAL PRACTICE · 1
Histogram panel: Which interval is the modal bin, and how many observations lie in it? Give both answers.
Reveal answer & reasoning
[5,10) minutes; 8 observations
That bin has the greatest frequency, 8. The grouped data do not identify the most frequent exact wait time.
07 / UNDERSTAND & APPLY
Use the symbol key before counting icons
In a pictograph, one symbol can represent several units. Count symbols and multiply by the key. Partial symbols must be defined; do not assume a half-icon is decorative or represents one item.
The companion pictograph assigns one filled circle to 10 available seats. Room R has 3 circles and Room S has 5, representing 30 and 50 seats. These are seat counts, not the number of people currently present.
ORIGINAL PRACTICE · 1
Pictograph panel: Select the total seats across both rooms from {8, 30, 50, 80}.
Reveal answer & reasoning
80
There are 3+5=8 symbols, each worth 10 seats, so total=80 seats. Eight is the symbol count, not the seat count.
08 / UNDERSTAND & APPLY
A magnified time window changes what you can see
A main time chart and a magnified inset can show the same variable at different temporal resolutions. Compare their explicit time labels and units before comparing visual slopes. A minute in the inset is not an hour in the overview.
The original overview reports temperature at 00:00,06:00,12:00,18:00,24:00 as 10,10,14,14,12°C. The inset adds measurements at 12:00,12:15,12:30 of 14,17,14°C. Straight overview connectors do not rule out the short spike seen in the inset.
Full-size scientific diagram. Swipe or scroll horizontally; keyboard users can focus the diagram and use arrow keys.
Original fictional measurements. A magnified window uses a different horizontal time unit.
ORIGINAL PRACTICE · 1
Time figure: Give Yes or No for each of two claims: (i) all observations from 12:00 to 18:00 were exactly 14°C; (ii) the inset records a 3°C rise over 15 minutes.
Reveal answer & reasoning
(i) No; (ii) Yes
The 12:15 observation is 17°C, refuting (i). From 12:00 to 12:15, 17−14=3°C, supporting (ii). The coarse endpoints alone hide the intervening change.
09 / UNDERSTAND & APPLY
Separate interpolation from extrapolation
Interpolation estimates within the observed x range; extrapolation extends beyond it. Both rely on a model or assumption about the relationship, but extrapolation additionally assumes that the relationship continues outside the available data.
For the daily-output line, estimating day 1.5 by straight-line interpolation gives (35+30)/2=32.5 units under a linear-between-points assumption. It is not an observed output. Extending the last rise to day 4 would add 20 to predict 70, but the graph alone does not establish that extension.
KEEP THE BIG IDEAS
Quick revision
Read units, baseline, legend and interval conventions first.
A fitted value and an observed value can differ.
Pie sectors require a defined whole; pictographs require a key.
Magnification reveals detail but changes the scale used for slope.
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