Comparing Data Sets
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ACT Science › Comparing Data Sets
Based on Figures 1 and 2, which substance behaves most similarly to Oxygen gas (O₂) in terms of how its solubility changes with temperature?
Ce₂(SO₄)₃
NaCl
KNO₃
None of the solids behave like the gas.
Explanation
This is a cross-figure synthesis question requiring you to compare trends across two different graphs. Figure 2 shows O₂ solubility decreases as temperature increases (downward-sloping curve). Looking at Figure 1, you need to find which solid also shows decreasing solubility with increasing temperature. KNO₃ increases dramatically, NaCl stays nearly flat, but Ce₂(SO₄)₃ decreases from 20 g at 0°C to 5 g at 100°C. This downward trend matches O₂'s behavior. Choice C is correct. Choices A and B show opposite or neutral trends. Choice D is incorrect because Ce₂(SO₄)₃ does behave similarly. Pro tip: For similarity questions, identify the key pattern (here: decreasing with temperature) and find the match.
Based on Table 2, which surface material created the greatest resistance (friction) to the movement of the block?
Plastic
Rubber
Sandpaper
Smooth Wood
Explanation
This is a data comparison question requiring you to understand that higher force indicates higher friction. Table 2 shows forces for different surfaces: Smooth Wood (5.8 N), Plastic (6.0 N), Sandpaper (8.2 N), and Rubber (9.5 N). Since friction opposes motion and requires more force to overcome, the surface with the highest force has the greatest friction. Rubber at 9.5 N is highest. Choice D is correct. The other choices show lower forces and therefore lower friction. Pro tip: In physics contexts, resistance to motion correlates with higher force needed to maintain constant velocity.
Based on Figures 1 and 2, the sharp increase in density at a depth of 5,100 km corresponds to which change in P-wave velocity?
An increase from 10 km/s to 11 km/s.
A decrease from 10 km/s to 0 km/s.
A decrease from 13 km/s to 8 km/s.
An increase from 8 km/s to 13 km/s.
Explanation
This is a cross-figure synthesis question. You need to examine both figures at the same depth (5,100 km, the Outer Core/Inner Core boundary). Figure 2 shows density jumping from 12.0 to 13.0 g/cm³. Figure 1 shows the P-wave curve jumping from approximately 10 km/s (end of Outer Core) to approximately 11 km/s (beginning of Inner Core). Choice C correctly describes this change. Choices A and D describe changes at the wrong boundary (2,900 km). Choice B describes S-wave behavior, not P-wave. Pro tip: For cross-figure questions, carefully identify the same location on both graphs.
What is the primary difference between the two tables? Table A shows the number of students enrolled in courses, while Table B shows the number of courses available.
Both measure courses but in different departments.
Both measure students but in different years.
Table A shows courses, while Table B shows students.
Table A measures students; Table B measures courses.
Explanation
Table A measures students while Table B measures courses—they track entirely different educational metrics. Table A shows the number of students enrolled in courses while Table B shows the number of courses available. These represent fundamentally different aspects of educational data: one tracks student enrollment while the other tracks course availability. This comparison could help analyze the relationship between course offerings and student participation in educational programs.
Which of the following best describes the relationship between the two data tables? Table A shows the annual production of wheat in tons, while Table B shows the annual profit in dollars.
Table A shows profit, while Table B shows production.
Table A measures production; Table B measures profit.
Both measure profit but in different currencies.
Both measure production in different units.
Explanation
Table A measures production while Table B measures profit—they track entirely different business metrics related to wheat farming. Table A shows annual wheat production data in tons while Table B shows annual profit data in dollars. These represent fundamentally different aspects of agricultural business: physical output versus financial performance. Analyzing both variables together could reveal the relationship between production volume and profitability in farming operations.
A materials science class compared how a polymer film behaves when stretched. Table A summarizes measured force and extension collected with a digital force gauge while pulling the film at room temperature. Table B summarizes calculated stress and strain for the same pulls, using the film’s measured cross-sectional area and original length. Use the tables to compare what each data set represents.
Table A and Table B both report raw force and extension, but in different unit systems.
Table A reports measured force and extension, while Table B reports calculated stress and strain from those measurements.
Table A and Table B both report stress and strain, but Table B uses a different polymer material.
Table A reports calculated stress and strain, while Table B reports measured force and extension from instruments.
Explanation
The key difference between Table A and Table B is that Table A presents raw measurements, while Table B presents derived quantities calculated from those measurements. Table A reports measured force in newtons (N) and extension in millimeters (mm) directly from instruments during tensile tests at 22°C, without normalization; Table B reports calculated stress in megapascals (MPa) as force divided by cross-sectional area and strain as a unitless ratio of extension to original length. This matters because the derived values in Table B allow for comparisons across different sample sizes, emphasizing material properties rather than raw data. A common distractor might suggest both tables show the same type of data in different units, but this overlooks the calculation step that transforms force and extension into stress and strain.
A city air-quality project monitored particulate matter near two locations.
Table A shows hourly measured PM 2.5 concentrations from a roadside sensor on one weekday.
Table B shows daily averaged PM 2.5 from a rooftop station over the same week.
Compare how the two tables differ in time scale and sampling location.

Table A reports hourly roadside PM$_{2.5}$ for one day, while Table B reports daily rooftop averages across several days.
Table A reports PM${10}$, while Table B reports PM${2.5}$ using the same monitoring method.
Table A and Table B both show hourly PM$_{2.5}$, but in different units.
Table A shows daily averages from a rooftop site, while Table B shows hourly roadside spikes.
Explanation
The primary relationship between Table A and Table B is their differing time scales and sampling locations for PM${2.5}$ measurements. Table A shows hourly PM${2.5}$ concentrations in µg/m³ from a roadside sensor on a single weekday, capturing short-term traffic-related spikes; Table B shows daily averaged PM$_{2.5}$ in µg/m³ from a rooftop station over five consecutive days, smoothing out hourly variations to represent overall daily exposure. This difference matters because it affects how the data reflect air quality—short-term peaks versus broader trends—requiring careful attention to context when comparing pollution levels. A distractor might reverse the locations or time scales, but the captions clearly specify roadside hourly for A and rooftop daily for B.
Researchers tested an enzyme’s activity under different acidity conditions. Table A lists measured reaction rate at several pH values using a spectrophotometer. Table B lists measured reaction rate at the same pH values but at a higher temperature. Determine the primary relationship between the tables.

Table A reports calculated rates, while Table B reports measured rates using a different instrument.
Table A reports temperature dependence, while Table B reports pH dependence of a different enzyme.
Table B converts Table A’s rates into different units, without changing temperature or conditions.
Table B repeats Table A but at a higher temperature, so rates can be compared across temperatures at each pH.
Explanation
Table A and Table B both measure enzyme reaction rates under varying pH conditions, but Table B does so at a higher temperature to isolate temperature effects. Table A reports rates in µmol/min at 25°C across four pH values using a spectrophotometer with consistent enzyme and substrate amounts; Table B reports rates in the same units at 37°C for the same pH values and conditions. This setup matters because it allows direct comparison of temperature's impact on rate at each pH, highlighting how environmental factors influence enzyme activity. A distractor could claim unit conversion without temperature change, but the captions emphasize the temperature difference as the key variable.
A public health team summarized flu vaccination in two age groups. Table A shows counts of vaccinated and unvaccinated people in a sample of adults ages 18–49. Table B shows percentages vaccinated and unvaccinated in a separate sample of adults ages 65+. Determine how the tables differ in both population and reporting format.

Table A gives percentages for ages 65+, while Table B gives counts for ages 18–49 from the same sample.
Both tables give counts, but Table B includes two additional vaccination categories not shown in Table A.
Both tables describe the same age group, but Table B uses different vaccine types instead of vaccination status.
Table A gives counts for ages 18–49, while Table B gives percentages for ages 65+ from a different sample.
Explanation
Table A and Table B differ in both the age groups surveyed and the format of reporting vaccination status. Table A reports counts of vaccinated and unvaccinated individuals in a sample of adults ages 18–49; Table B reports percentages of vaccinated and unvaccinated in a separate sample of adults ages 65+. This difference matters because counts show raw sample sizes while percentages normalize for comparison, and separate age groups highlight demographic variations in vaccination rates. A distractor might reverse the age groups or formats, but the captions clearly assign counts to younger adults in A and percentages to older in B.
An oceanography lab compared salinity measurements from two instruments. Table A shows salinity measured in practical salinity units (PSU) using a conductivity probe. Table B shows chloride concentration measured in g/L using a titration method at the same depths. Identify the primary difference in what is being measured and how.

Table A measures chloride (g/L) by titration, while Table B measures salinity (PSU) with a conductivity probe.
Table A measures salinity (PSU) with a conductivity probe, while Table B measures chloride (g/L) by titration at the same depths.
Both tables measure salinity in PSU, but Table B uses a different depth scale in centimeters.
Both tables measure chloride, but Table A reports daily averages and Table B reports hourly spikes.
Explanation
The main difference lies in the specific property measured and the method used, even at the same depths. Table A reports salinity in practical salinity units (PSU) using a conductivity probe during a cast; Table B reports chloride concentration in g/L using lab titration of samples. This distinction matters because salinity estimates total salts via conductivity, while chloride measures one component chemically, affecting how data are interpreted for ocean properties. A distractor could swap the methods or variables, but the captions specify conductivity for salinity in A and titration for chloride in B.