Mathematics - TEAS Study Guide | Nurse.org
Menu
View:
▶ Watch a 2-min intro (optional)
Reading Bar Graphs - Khan Academy · via Khan Academy Watch on YouTube →

Reading Tables, Charts & Graphs

Why This Matters for Nursing: Patient charts, vital sign graphs, lab result tables, medication schedules—nurses interpret visual data constantly. Being able to quickly and accurately read data displays is essential for patient care.

What You Need to Know

Types of Data Displays

Type Best For Example
Table Exact values, multiple categories Lab results, medication schedules
Bar Graph Comparing categories Patient counts by diagnosis
Line Graph Showing change over time Temperature trends, vital signs
Pie Chart Showing parts of a whole Budget allocation, demographics
Scatter Plot Showing relationships Height vs. weight correlation

🧠 Memory Trick

Before reading ANY graph:

  1. Read the TITLE — What is this about?
  2. Check the AXES — What do X and Y represent?
  3. Note the SCALE — What are the units? Are there breaks?
  4. Look for PATTERNS — Trends, outliers, peaks

"TASK" = Title, Axes, Scale, Key patterns


Reading Tables

What to Look For:

  • Row and column headers
  • Units of measurement
  • Footnotes or special symbols

Example Table: Patient Vital Signs

Time Temp (°F) Pulse BP Resp
0800 98.6 72 120/80 16
1200 99.2 78 118/76 18
1600 100.1 84 122/82 20

Questions you might be asked:

  • What was the pulse at 1200? → 78
  • By how much did temperature increase? → 100.1 - 98.6 = 1.5°F
  • What trend do you notice? → Temperature, pulse, and respiration increase; blood pressure fluctuates

Reading Bar Graphs

Key Skills:

  • Compare heights of bars
  • Read values from the y-axis
  • Identify highest/lowest categories

Example Analysis:

If a bar reaches the 150 mark and each gridline = 50, the value is 150.

Sample Bar Graph: Patient Diagnoses 0 25 50 75 100 # Patients 80 Cardio 60 Ortho 45 Neuro 90 Pulm Read bar height from y-axis. Highest bar = Pulmonary (90 patients).

Reading Line Graphs

Key Skills:

  • Track trends over time
  • Identify peaks and valleys
  • Calculate rate of change

Trend Language:

  • Increasing: Line goes up left to right
  • Decreasing: Line goes down left to right
  • Stable/Constant: Line stays flat
  • Fluctuating: Line goes up and down

Reading Pie Charts

Key Skills:

  • Identify largest/smallest sections
  • Calculate actual values from percentages
  • Compare proportions

Example:

If a pie chart shows "30% Cardiology" and total patients = 200:

  • Cardiology patients = 30% × 200 = 60 patients

✏️ Worked Examples

Example 1: Table Reading — Nursing Context

Problem: Using the vital signs table above, what is the change in respiratory rate from 0800 to 1600?

Step 1 — Read the table carefully. Find the respiratory rate (Resp column) for both times.

  • 0800: 16 breaths/min
  • 1600: 20 breaths/min

Step 2 — Calculate the change. New minus old: 20 - 16 = 4 breaths/min.

Step 3 — State the direction. The rate went up, so it increased.

Answer: Increased by 4 breaths/minute

💡 TEAS tip: Always note WHICH direction the change went (increased vs. decreased). The question often asks for both the amount AND the direction.


Example 2: Bar Graph Interpretation

Problem: A bar graph shows: Hospital A = 250 patients, Hospital B = 180 patients, Hospital C = 320 patients. Which hospital has the most patients? How many more than Hospital B?

Step 1 — Read each bar's value. A = 250, B = 180, C = 320.

Step 2 — Find the largest. 320 > 250 > 180. Hospital C has the most.

Step 3 — Calculate the difference from Hospital B. 320 - 180 = 140.

Answer: Hospital C has the most. It has 140 more patients than Hospital B.


Example 3: Line Graph Trend — Nursing Context

Problem: A patient's temperature over 4 days: Day 1: 101°F, Day 2: 100.2°F, Day 3: 99.4°F, Day 4: 98.8°F. Describe the trend.

Step 1 — Look at the overall direction. Each day the temperature is lower than the day before: 101 → 100.2 → 99.4 → 98.8. That's consistently going DOWN.

Step 2 — State the trend in plain English. Temperature is decreasing consistently each day.

Answer: The patient's temperature decreases consistently over the four days.


Example 4: Pie Chart Calculation — Nursing Context

Problem: A pie chart shows nursing staff distribution: 45% RNs, 30% LPNs, 25% CNAs. If total staff = 80, how many RNs?

Step 1 — Identify the percent and the total. 45% of the total staff are RNs. Total = 80.

Step 2 — Calculate. "Percent of" = multiply: 45% × 80 = 0.45 × 80 = 36.

Answer: 36 RNs


💡 Pro Tips

  • Always check the scale: A graph starting at 50 instead of 0 can make small differences look big
  • Watch for broken axes: A zigzag line on an axis means some values are skipped
  • Use the legend: If there are multiple lines or bar colors, the legend tells you which is which
  • Estimate before calculating: If a bar is about halfway between 100 and 200, it's around 150
  • On the TEAS: Questions often ask about trends, comparisons, or specific values

⚠️ Common Mistakes to Avoid

  • Misreading the scale: Check if each gridline = 1, 5, 10, etc.
  • Ignoring axis labels: The y-axis might be "in thousands" — so 5 means 5,000
  • Confusing correlation with causation: Line graphs show what happened, not always why
  • Reading the wrong row/column: Use a finger or straight edge to track across tables

Quick Reference

Graph Types

Graph Type Shows Look For
Table Exact values Row/column intersections
Bar Comparisons Bar heights
Line Trends over time Direction of line
Pie Parts of whole Section sizes
Scatter Relationships Pattern of dots

Checklist for Any Graph

  • [ ] Read the title
  • [ ] Check axis labels and units
  • [ ] Note the scale (where does it start? intervals?)
  • [ ] Look for legend/key
  • [ ] Identify overall pattern

Data interpretation skills unlocked! 💪 Next up: Mean, Median, Mode, Range

📝 Create a free account to take the Prove It quiz →

Saves your progress and schedules spaced review of anything you miss.

🎯

You've got the concept — now drill it like the real TEAS

Unlock the full practice bank + timed full-length exam simulation + cross-topic Smart Practice that mirror the real exam.
Prove It stays free with a free account.

Start my 3-day free trial

$0 today — card required to start your trial. Cancel anytime before day 3.

🤖 AI Tutor

Loading...

👋 Hi! I'm your TEAS Tutor

Ask me anything about Math, Reading, Science, or English!

📐 How do I convert fractions to decimals?
🔬 Explain arteries vs veins
✏️ What are the parts of speech?

Wait! Grab your free cheat sheet

Get the essential TEAS formulas, conversions, and must-know facts in one printable PDF.

📋 FREE: TEAS Quick Reference Cheat Sheet

✓ Check your inbox! Your cheat sheet is on its way.

No spam. Unsubscribe anytime.