Before looking at a bar graph in a data word problem, what should a student do first?
AAdd up all the bar values to find the total
BIdentify the tallest and shortest bars
CRead the question to know which data values are needed
DWrite down every value shown on the graph
Reading the question first tells you which data you actually need from the graph, preventing you from getting lost in irrelevant information. If the question asks 'how many more students chose soccer than basketball?', you only need two values. If you read the entire graph first without knowing the question, you may record unnecessary data and lose track of what you're solving.
Question 2 Multiple Choice
A graph shows favorite sports for a class. The question asks: 'How many more students prefer soccer than tennis?' A student finds soccer = 18 and tennis = 7. What should the student do next?
AAdd 18 + 7 = 25 because the question asks about both sports
BSubtract 18 − 7 = 11 because 'how many more' signals subtraction
CMultiply 18 × 7 = 126 to find the combined total
DDivide 18 ÷ 7 to find the ratio
'How many more?' compares two values, which signals subtraction. You subtract the smaller from the larger: 18 − 7 = 11 more students prefer soccer. The graph provided the data; the word problem told you what to do with it. Recognizing key phrases like 'how many more' (subtract), 'how many in all' (add), and 'combined' (add) is essential to choosing the correct operation.
Question 3 True / False
You should read the entire graph carefully before reading the question in a data word problem.
TTrue
FFalse
Answer: False
Reading the question first is the recommended approach because the question tells you which parts of the graph are relevant. If you read the graph first, you may record all values when you only need two, or you may not know what to look for. The question focuses your attention. This 'question first' habit prevents confusion and saves time, especially with complex graphs.
Question 4 True / False
A bar graph can tell you which mathematical operation to perform to answer a question about the data.
TTrue
FFalse
Answer: False
A graph stores data — it shows values but does not tell you what to do with them. The word problem provides the question, and the question contains the signal for the operation ('how many more' → subtraction, 'combined total' → addition). The graph and the question work together: the graph supplies the numbers, the question supplies the operation. Neither alone is sufficient.
Question 5 Short Answer
Why is it important to read the question before reading the graph in a data word problem? What does each one contribute?
Think about your answer, then reveal below.
Model answer: The question tells you what you are looking for and which data values you need. The graph provides the actual numbers. Reading the question first focuses your attention on the relevant bars or table entries, so you don't waste time recording information you don't need. Then you read the graph to find just those values, and finally you perform the operation the question signals ('how many more' → subtract; 'in all' → add).
Data word problems require two separate skills: reading the data source accurately and applying the correct operation. The common error is performing the wrong operation (adding when subtraction is needed) or using the wrong data values. The 'question first' strategy is the habit that keeps both steps on track.