π Math Β· Measurement and Data Β· Lesson 1 of 7 Β· 4 min
Reading tables and graphs
π Many TEAS math items hand you a table or graph. The math is usually easy; the trap is misreading the picture.
π‘ Key idea
Read the title, labels and units first, then pull exact values and do only the math the question asks.
π§ The idea
Before you calculate anything, read the TITLE, the column or axis LABELS and the UNITS. A TABLE lists exact values in rows and columns. A BAR GRAPH compares amounts across categories; the height of each bar is the value. A LINE GRAPH shows change over time; a steeper segment means a faster change. A PIE CHART shows parts of a whole, so the slices add to 100%; to turn a slice into a count, multiply its percent by the total. Watch the scale: if a bar graph's axis counts by 5s or starts above zero, small differences can look huge. Most questions ask you to find one value, compare two values (subtract), find a total (add), or find a percent or fraction of the whole. Write the numbers you pull from the graph on your scratch paper before you combine them.
βοΈ Worked example
A bar graph titled "Clinic visits by day" shows Monday 42, Tuesday 35, Wednesday 28, Thursday 35 and Friday 60. Question: what percent of the week's visits happened on Friday?
Step 1: Read the values from the bars: 42, 35, 28, 35, 60.
Step 2: Find the total: 42 + 35 + 28 + 35 + 60 = 200 visits.
Step 3: Write Friday as a fraction of the total: 60/200.
Step 4: Convert to a percent: 60 Γ· 200 = 0.30 = 30%.
Answer: 30% of the week's visits were on Friday.
π Takeaways
- Title, labels and units come before any arithmetic.
- Bar = compare categories, line = change over time, pie = parts of a whole.
- Pie slice count = slice percent Γ total.
β Check yourself
Question 1 of 3
A bar graph shows flu shots given at a pharmacy: Monday 24, Tuesday 30, Wednesday 18. How many more shots were given on Tuesday than on Wednesday?
- 30
- 48
- 6
- 12
Show the answer and rationale
Answer: D
Subtract the two bar values: 30 β 18 = 12. Six is the difference between Monday and Tuesday, 48 is the sum of Tuesday and Wednesday, and 30 is just Tuesday's value.
Question 2 of 3
A pie chart shows how 250 students get to school. The "walk" slice is labeled 40%. How many students walk?
- 10,000
- 40
- 100
- 150
Show the answer and rationale
Answer: C
Multiply the percent by the total: 0.40 Γ 250 = 100 students. Forty is the percent, not a count; 150 is the number who do not walk; 10,000 multiplies 40 Γ 250 without first changing 40% to the decimal 0.40.
Question 3 of 3
Which type of graph is best for showing how a patient's temperature changed every hour over one day?
- Bar graph of categories
- Pie chart
- Table of averages
- Line graph
Show the answer and rationale
Answer: D
A line graph connects values in time order, so it shows rises and falls hour by hour. A pie chart shows parts of a whole, a category bar graph compares separate groups, and a table of averages hides the hourly changes.
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