Q1 Data Logic Flashcards
If 3 people can paint 3 fences in 3 hours, how long would it take 1 person to paint 1 fence?
3 hours
If cold water alone fills the tub in 30 minutes, and hot water alone fills the tub in 1 hour, how long does it take to fill the tub if both cold and hot water are turned on?
60 minutes divided by 3 tubs = 20 minutes
Belief
- A firmly held conviction
- Not false, but not evidence
Evidence
- Facts or information that support a statement
- Do not include beliefs
- Support may or may not be proof
Proof
Implies truth or certainty
Do you believe crime has increased or decreased?
Most Americans say crime has INCREASED, even though evidence shows it has DECREASED, because this belief has been reinforced through politicians or news programs
Is the data about “rate of reported violent crime per 100,000 US residents” proof?
No, because not all crime is reported
Why is there a gap between belief and evidence?
Belief can be more powerful than facts, and when we trust beliefs more than evidence, we can misinterpret data
Confirmation bias
Selecting or interpreting evidence in a way that confirms pre-existing beliefs
Hypothesis
A testable proposition or an educated guess
Theory
- An overarching explanation, a system of ideas
- Often misused as “guesses”
Are movie “theories” really theories?
No, they are hypotheses
Is the “Big Bang Theory” really a theory?
Yes, because it is an overarching explanation for the origins of the universe
How do scientists utilize theories?
- They use theory to develop a hypothesis which can be tested with data
- It is NOT a guess
Should theories be dismissed because they are “unproven”?
- No, because every theory is unproven
- If they were proven, they would be a law
Can theories be disproven?
Yes, for example, the mass society theory
Can theories be supported, but not proven?
Yes, for example, social learning
Can a hypothesis or theory be proven true?
No, neither can be proven true, only supported or rejected
Error
- Uncertainty that occurs naturally
- It is a limitation, not a mistake
Sampling error
The expected variance between a population and a representative sample