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πŸ“ Math Β· Measurement and Data Β· Lesson 1 of 7 Β· 4 min

Reading tables and graphs

πŸ“Š Many TEAS math items hand you a table or graph. The math is usually easy; the trap is misreading the picture.

πŸ’‘ Key idea

Read the title, labels and units first, then pull exact values and do only the math the question asks.

🧠 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.

✏️ 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.

πŸ“Œ 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.

βœ… 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?

  1. 30
  2. 48
  3. 6
  4. 12
Show the answer and rationale

Answer: D

Subtract the two bar values: 30 βˆ’ 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?

  1. 10,000
  2. 40
  3. 100
  4. 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?

  1. Bar graph of categories
  2. Pie chart
  3. Table of averages
  4. 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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