The independent variable is the one thing you change on purpose, the dependent variable is what you measure to see the effect, and controlled variables are everything you keep the same so the comparison is fair. In "Does the amount of light change how tall a plant grows?", light is independent, height is dependent, and water, soil and plant type are controlled.

Below are plain definitions, 36 examples across subjects, a quiz with answers, and how variables turn into a hypothesis. If you need a project first, browse science fair project ideas.

What independent, dependent and controlled variables are

A biology textbook from Butte College calls the independent variable the manipulated variable, because the researcher changes it, and the dependent variable the affected or outcome variable. Any other variable that might affect the outcome is held constant.

VariablePlain definitionOther namesQuestion to ask
IndependentWhat you change on purposeManipulated variable, xWhat did I change?
DependentWhat you measure as the resultResponding or outcome variable, yWhat did I measure?
ControlledWhat you keep the same for every trialConstantsWhat did I keep the same?

How to tell independent and dependent variables apart

Use three quick tests.

  1. The cause and effect sentence. The National Center for Education Statistics suggests the frame "(Independent variable) causes a change in (Dependent variable)." "Hours of studying causes a change in test score" makes sense. "Test score causes a change in hours of studying" does not, so you have them the right way round.
  2. The graph. The independent variable goes on the x-axis and the dependent variable on the y-axis.
  3. The timeline. You set the independent variable before the trial. You record the dependent variable after it.

Change only one independent variable at a time. If you change light and water together and the plants grow taller, you cannot say which one caused it.

Controlled variables vs the control group

These sound alike but are different.

  • Controlled variables are conditions held the same for every group: same pot size, same water, same temperature.
  • The control group is the baseline group that does not get the treatment, such as plants with no fertilizer. You compare every other group against it.

A variable you forgot to control, and that changes alongside your independent variable, is a confounding variable. It is the most common reason judges question a result.

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Seven printable worksheets that take a project from first idea to judge-ready: hypothesis builder, experiment design, data log, board layout, and the ISEF scoring rubric with interview prep.

36 independent and dependent variable examples

#ExperimentIndependent variableDependent variableControlled variables
1Light and plant growthHours of light per dayPlant height (cm)Species, water, soil, pot size
2Fertilizer and tomatoesFertilizer amountNumber of fruitVariety, water, light
3Seed germinationSoil temperatureDays to sproutSeed type, water, planting depth
4Yeast and sugarSugar concentrationGas produced (mL)Yeast amount, water temperature, time
5Bread moldStorage temperatureDays until mold appearsBread type, humidity, container
6HandwashingWashing time (seconds)Bacterial colonies on a plateSoap, water temperature, swab method
7Enzyme activitypH of solutionReaction rateEnzyme amount, temperature
8Earthworm choiceSoil moistureWorms on each sideSoil type, light, temperature
9Dissolving sugarWater temperatureTime to dissolveSugar mass, water volume, stirring
10Baking soda and vinegarVinegar concentrationGas volumeBaking soda mass, container
11Rusting nailsSalt concentrationRust mass after 7 daysNail type, water volume, temperature
12Melting iceSubstance added (salt, sugar, sand)Melting timeIce cube size, room temperature
13Vitamin C in juiceDays in storageVitamin C concentrationJuice type, storage temperature
14CatalystsCatalyst typeOxygen from hydrogen peroxidePeroxide volume and strength
15Ramp and ballRamp heightDistance rolledBall, surface, release method
16PendulumString lengthPeriod (seconds)Mass, release angle
17ParachuteCanopy areaFall timeDrop height, payload mass
18InsulationInsulating materialTemperature drop in 30 minutesStarting temperature, cup size
19Solar panelPanel anglePower output (watts)Light source, distance, panel
20Magnet strengthDistance from magnetPaper clips liftedMagnet, clip size
21Water filterFilter materialWater clarity after filteringWater volume, sample source
22Acidic water and plantsWater pHLeaf damage scorePlant type, light, watering schedule
23ErosionSlope angleSoil lost (g)Soil type, water volume
24Urban heatSurface typeSurface temperatureTime of day, sun exposure
25Algae growthPhosphate concentrationAlgae cell countLight, water volume, temperature
26Music and memoryBackground soundWords recalledWord list, time allowed, age group
27Sleep and reaction timeHours sleptReaction time (ms)Test used, time of day
28Screens before bedScreen time before bedMinutes to fall asleepBedtime, room conditions
29ExerciseMinutes of exerciseHeart rate (bpm)Exercise type, participant
30Running shoesShoe type40 m sprint timeRunner, track, weather
31Sorting algorithmsAlgorithm usedRun time (ms)List size, computer, language
32Machine learningTraining data sizeTest accuracyModel design, test set
33Wi-Fi signalDistance from routerDownload speedRouter, device, time of day
34Password strengthPassword lengthEstimated time to crackCharacter set, cracking method
35Bridge designTruss designMaximum load (g)Materials, span, glue amount
36Battery temperatureBattery temperatureFlashlight run timeBattery type, bulb

Notice that the independent variable can be a number (hours of light) or a category (shoe type). The dependent variable should always be something you can measure or count.

How variables connect to your hypothesis

A hypothesis is a sentence that predicts how the independent variable will change the dependent variable. Once your variables are named, the hypothesis almost writes itself:

If [independent variable] is [increased / decreased / changed to X],
then [dependent variable] will [increase / decrease / stay the same],
because [reason from your research].

Using row 17: "If the canopy area of a parachute increases, then its fall time will increase, because a larger canopy creates more air resistance." Drop height and payload mass stay controlled.

For 50 more worked sentences in every subject, see the science fair hypothesis examples. When you write up results, the same variables reappear in your abstract, as the science fair abstract examples show.

Variables quiz

Name the independent and dependent variable in each. Answers follow.

  1. A student tests whether the amount of salt in water changes how long it takes to boil.
  2. Does the number of hours a student studies affect test scores?
  3. Seeds of the same type are grown in sand, clay and potting soil, and height is measured after three weeks.
  4. A toy car is rolled down the same ramp onto carpet, wood and tile, and distance is measured.
  5. A student records the outdoor temperature each afternoon and how many people visit a public pool.
  6. Does the color of light affect how fast algae grow?
  7. A ball is dropped from 0.5, 1, 1.5 and 2 meters, and its bounce height is measured.
  8. Which type of paper towel absorbs the most water?
  9. A student compares two fertilizers but keeps one set of plants by a window and the other in a closet. What went wrong?
  10. In "If the mass of a pendulum increases, then its period will stay the same," what is the dependent variable?

Quiz answers

  1. Independent: amount of salt. Dependent: time to boil. Controlled: water volume, pot, burner setting.
  2. Independent: hours studied. Dependent: test score.
  3. Independent: soil type. Dependent: plant height. Controlled: seed type, water, light.
  4. Independent: surface. Dependent: distance traveled.
  5. Independent: temperature. Dependent: number of visitors. The student did not change the temperature, so this is an observational study, which shows a link but not proof of cause.
  6. Independent: light color. Dependent: algae growth rate. Light brightness must be controlled.
  7. Independent: drop height. Dependent: bounce height.
  8. Independent: paper towel type. Dependent: water absorbed. Controlled: sheet size, soak time.
  9. Light changed along with fertilizer, so it is a confounding variable. Any difference could come from light, not fertilizer.
  10. The period. A hypothesis can predict no change.

Common mistakes with variables

MistakeFix
Changing two things at onceOne independent variable per experiment
A dependent variable you cannot measure ("plant health")Pick a number: height, leaf count, mass
No control groupAdd a baseline group with no treatment
Too few trialsRepeat each condition, ideally 3 to 5 times or more
Listing "everything" as controlledName the specific factors that could affect the result
Swapping the axes on the graphIndependent on x, dependent on y

Judges probe these points in the interview, as the guide on how ISEF is judged explains. A trained researcher catches design flaws before you collect data, which is why students in the YRI Fellowship design their experiment with a PhD mentor before running a single trial.

From science fair project to published paper

Clean variables are what make a project publishable. A paper's methods section is a precise account of the independent variable, the dependent variable, how each was measured and what was controlled, so a project with a clear design is most of the way to a manuscript. What it still needs is a literature review, statistics and a discussion of limitations.

The YRI Fellowship is a 10-week, one-on-one program with a PhD mentor that turns a student's project into a first-author paper submitted to peer-reviewed IEEE, Springer or Elsevier venues, with ISEF and JSHS preparation included. 87% of Fellows publish. To compete first, read how to win science fairs and browse ISEF project ideas by category.

Frequently Asked Questions

What is the difference between an independent and dependent variable?

The independent variable is what you change on purpose. The dependent variable is what you measure to see whether that change had an effect.

What is a controlled variable?

A factor you keep the same in every trial, such as temperature or water amount, so that only the independent variable could explain differences in the result.

Can an experiment have more than one dependent variable?

Yes. You can measure plant height and leaf count in the same experiment. Keep one independent variable, though, so you know what caused the change.

Is time an independent variable?

Often, yes. When you measure something every day, time is on the x-axis as the independent variable, and the thing you measure is dependent.

Is the control group a controlled variable?

No. The control group is a baseline group that gets no treatment. Controlled variables are the conditions you keep the same for every group, including the control group.

Which variable goes on the x-axis?

The independent variable goes on the x-axis and the dependent variable on the y-axis.

How do I turn my science fair project into a published paper?

Write up your variables, methods and results as a full manuscript with a literature review and statistics, then submit to a journal that accepts high school authors. The YRI Fellowship pairs you with a PhD mentor for 10 weeks to write a first-author paper for IEEE, Springer or Elsevier venues while you prepare for ISEF or JSHS. Applying takes 10 minutes and has no fee.

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