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Problem Solving And Data Analysis · Data Interpretation Tables Graphs

SAT Data Interpretation Tables Graphs Practice Questions (Free + Explanations) | Quiz 6

Question 12345 of 5

Question 1 of 5

A community garden tracked the number of adult and student volunteers on two workdays. On Saturday, there were 18 volunteers total, and together they worked 54 hours. On Sunday, there were 14 volunteers total, and together they worked 38 hours. Assume each adult volunteered the same number of hours on both days, and each student volunteered the same number of hours on both days. If an adult volunteered 4 hours on each day and a student volunteered 2 hours on each day, how many adult volunteers were there on Saturday?

Explanation

Let be the number of adult volunteers on Saturday and be the number of student volunteers on Saturday. From the total number of volunteers, . Since each adult worked 4 hours and each student worked 2 hours, the total hours on Saturday give . Substitute into the hours equation: . Simplify: , so , and therefore . This gives . So there were 9 adult volunteers on Saturday.

Concept summary

Use two pieces of data from a table or context to write a system of equations, then solve by substitution or elimination to find the unknown quantity.

Question 2 of 5

A biologist recorded the average mass of a plant sample at different times after planting, as shown in the table.

If the relationship between time and average mass is linear, what is the predicted average mass, in grams, at 11 weeks after planting?

Explanation

The table shows that the average mass increases by grams every weeks, so the rate of change is grams per week. From 8 weeks to 11 weeks is 3 more weeks, so the mass should increase by grams. Since the mass at 8 weeks is grams, the predicted mass at 11 weeks is grams. Therefore, the correct answer is .

Concept summary

For a linear relationship in a table, find the constant rate of change first, then use it to extend the pattern to the requested input value.

Question 3 of 5

A community garden tracked the total amount of rainfall, in inches, over several months. The table shows the data.

Which statement must be true?

Explanation

To find the median, order the rainfall amounts from least to greatest: . Since there are 5 values, the median is the middle value, which is . Because , the statement in choice A must be true.

Check the other statements:
- Mean: , which is not greater than 4.
- Months greater than 4 inches: only May and July, so out of , which is not more than half.
- Range: , which is not less than 2.

Concept summary

For data in a table, determine whether a statement must be true by computing the relevant statistics carefully, such as median, mean, count above a threshold, and range.

Question 4 of 5

A park manager is comparing the amount of fencing needed for four rectangular flower beds. The table shows the length and width, in feet, of each flower bed.

If fencing is needed only around the outside edge of each flower bed, which flower bed requires the greatest amount of fencing?

Explanation

The amount of fencing needed is the perimeter of each rectangle, found with .

Flower Bed 1:

Flower Bed 2:

Flower Bed 3:

Flower Bed 4:

The greatest perimeter is feet, so Flower Bed 1 requires the greatest amount of fencing.

Concept summary

For a rectangular measurement scenario, the outside edge is the perimeter, calculated with . Interpreting a table correctly means comparing the relevant measure, not just one dimension or the area.

Question 5 of 5

A city parks department tracked the number of visitors to a park and the amount collected from parking fees on 4 Saturdays.

If this relationship continues, which equation best models the amount , in dollars, collected from parking fees for visitors?

Explanation

The correct answer is . From the table, divide parking fees by visitors for any row: , , and . The ratio is constant, so the amount collected is proportional to the number of visitors. That means the model has the form , where . Therefore, the equation is .

Concept summary

When a table shows a constant ratio between two quantities, the relationship is proportional and can be modeled by an equation of the form .

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice