Probability - SAT Math
Card 1 of 12
What is the median of the data set: 3, 7, 9, 2, 4?
What is the median of the data set: 3, 7, 9, 2, 4?
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The median is 4. Middle value when ordered: 2, 3, 4, 7, 9.
The median is 4. Middle value when ordered: 2, 3, 4, 7, 9.
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Identify the shape of a distribution with a long right tail.
Identify the shape of a distribution with a long right tail.
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The shape is right-skewed. Long tail extends toward higher values on the right.
The shape is right-skewed. Long tail extends toward higher values on the right.
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Which measure of center is most affected by outliers?
Which measure of center is most affected by outliers?
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The mean is most affected. Outliers pull the mean toward extreme values.
The mean is most affected. Outliers pull the mean toward extreme values.
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What is the mean of the data set: 4, 8, 6, 10, 2?
What is the mean of the data set: 4, 8, 6, 10, 2?
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The mean is 6. Sum all values (30) and divide by count (5).
The mean is 6. Sum all values (30) and divide by count (5).
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What is the definition of a statistical inference?
What is the definition of a statistical inference?
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Drawing conclusions about a population based on a sample. Uses sample data to make educated guesses about the entire population.
Drawing conclusions about a population based on a sample. Uses sample data to make educated guesses about the entire population.
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Identify the term: The likelihood that a result is due to chance.
Identify the term: The likelihood that a result is due to chance.
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P-value. Measures probability that observed results occurred by random chance alone.
P-value. Measures probability that observed results occurred by random chance alone.
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Find and correct the claim: 'The sample result proves the hypothesis.'
Find and correct the claim: 'The sample result proves the hypothesis.'
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Correct: 'The sample result supports the hypothesis.'. 'Supports' is proper; samples provide evidence but never absolute proof.
Correct: 'The sample result supports the hypothesis.'. 'Supports' is proper; samples provide evidence but never absolute proof.
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What is the probability formula for a single event occurring?
What is the probability formula for a single event occurring?
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Probability = (Number of favorable outcomes) / (Total number of possible outcomes). This is the fundamental definition of probability in statistics.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes). This is the fundamental definition of probability in statistics.
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Identify the probability of rolling a 4 on a standard 6-sided die.
Identify the probability of rolling a 4 on a standard 6-sided die.
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1/6. One specific outcome (rolling 4) out of six equally likely outcomes.
1/6. One specific outcome (rolling 4) out of six equally likely outcomes.
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What is the sum of probabilities for all possible outcomes of an event?
What is the sum of probabilities for all possible outcomes of an event?
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- All possible outcomes together form the complete sample space.
- All possible outcomes together form the complete sample space.
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State the formula for the probability of independent events A and B both occurring.
State the formula for the probability of independent events A and B both occurring.
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$P(A \text{ and } B) = P(A) \times P(B)$. For independent events, multiply individual probabilities.
$P(A \text{ and } B) = P(A) \times P(B)$. For independent events, multiply individual probabilities.
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Identify the probability of drawing a heart from a standard deck of cards.
Identify the probability of drawing a heart from a standard deck of cards.
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1/4. 13 hearts out of 52 total cards in a standard deck.
1/4. 13 hearts out of 52 total cards in a standard deck.
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