AP Stats CED Unit 1 MC Review

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•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a normal distribution?
Back
A normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, where the mean, median, and mode are all equal. It is defined by its mean (μ) and standard deviation (σ).
2.
FLASHCARD QUESTION
Front
What is the Central Limit Theorem?
Back
The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed, regardless of the original distribution of the population, provided the sample size is sufficiently large (usually n > 30).
3.
FLASHCARD QUESTION
Front
How do you find the mean of a normal distribution?
Back
The mean (μ) of a normal distribution is the central value around which the data is distributed. It can be calculated by summing all data points and dividing by the number of points.
4.
FLASHCARD QUESTION
Front
What is standard deviation?
Back
Standard deviation (σ) is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
5.
FLASHCARD QUESTION
Front
What does the 99th percentile represent in a normal distribution?
Back
The 99th percentile represents the value below which 99% of the data falls. In a normal distribution, this indicates that a data point is higher than 99% of the other data points.
6.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. It indicates how many standard deviations a value is from the mean.
7.
FLASHCARD QUESTION
Front
What is the empirical rule?
Back
The empirical rule states that for a normal distribution: approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
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