Interpreting Tables and Charts

Data interpretation questions appear in approximately 3–5 of the 29 DM questions. They present data in tables, bar charts, pie charts, or line graphs and ask you to draw logical conclusions. The challenge is not usually the mathematics — it is reading the data accurately and identifying exactly which numbers are relevant to the question.

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The First 10 Seconds: Read the Structure

Before looking at any question, spend the first 10 seconds on:

1. Title — What is the data about?
2. Row and column headers (for tables) or axis labels (for charts)
3. Units — Are values in thousands? Percentages? Ratios?
4. Time period — What year(s) does the data cover?
5. Footnotes — Any important qualifications or definitions?

UCAT Tip: The majority of errors in data interpretation come from misreading the structure, not from incorrect calculations. Investing 10 seconds upfront saves far more time than correcting errors later.

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Reading Tables

Common Table Formats in UCAT DM

Format 1: Simple frequency table

Ward	Patients admitted	Average stay (days)
Cardiology	120	4.5
Neurology	85	6.2
Oncology	95	8.1

Format 2: Cross-tabulation (two-way table)

	Male	Female	Total
Treatment A	30	45	75
Treatment B	50	25	75
Total	80	70	150

Format 3: Time series

Year	Applications	Offers	Acceptances
2022	500	200	150
2023	550	210	160
2024	480	190	145

Extracting Information from Tables

For each question, identify:

1. Which row(s) contain the relevant data
2. Which column(s) contain the relevant data
3. Whether you need a single cell value, a row total, a column total, or a calculation across cells

Worked Example

Using the cross-tabulation above: What proportion of patients receiving Treatment A are female?

Step 1: The relevant row is Treatment A. The relevant columns are Female and Total.

Step 2: Female patients on Treatment A = 45. Total on Treatment A = 75.

Step 3: Proportion = 45/75 = 3/5 = 0.6 or 60%.

Common Error: Using the column total (Female = 70) instead of the row total (Treatment A = 75). The question asks about patients receiving Treatment A, so the denominator is 75.

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Reading Bar Charts

Key Features to Check

• Are the bars showing absolute values or percentages?
• Is there a scale break? (A gap in the y-axis that makes differences look larger)
• Are bars stacked or grouped? (Stacked: segments within one bar; Grouped: separate bars side by side)

Reading Strategies

Chart type	How to read
Simple bar chart	Read the height of each bar against the y-axis
Grouped bar chart	Compare bars within each group and across groups
Stacked bar chart	Read the top of each segment, and subtract to find the value of each segment
Horizontal bar chart	Same as vertical but read against the x-axis

Worked Example

A grouped bar chart shows the number of GP appointments in three clinics across two years (2023 and 2024). Clinic A had 450 appointments in 2023 and 500 in 2024.

Question: What is the percentage increase in appointments at Clinic A from 2023 to 2024?

$\text{Percentage increase} = \frac{500 - 450}{450} \times 100 = \frac{50}{450} \times 100 \approx 11.1\%$Percentage increase=450500−450​×100=45050​×100≈11.1%

Common Error: Dividing by the new value (500) instead of the original value (450). Percentage change is always relative to the original value.

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Reading Pie Charts

Pie charts show proportions of a whole. Key points: