Chapter 5 Normal Distribution Probabilities 2023
Flashcard
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Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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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 does the mean represent in a normal distribution?
Back
The mean (μ) represents the average value of the data set and is the center of the normal distribution curve.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
3.
FLASHCARD QUESTION
Front
What does the standard deviation indicate in a normal distribution?
Back
The standard deviation (σ) measures the dispersion or spread of the data points around the mean. A smaller standard deviation indicates that the data points are closer to the mean.
4.
FLASHCARD QUESTION
Front
What is the empirical rule (68-95-99.7 rule)?
Back
The empirical rule states that for a normal distribution: about 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
6.
FLASHCARD QUESTION
Front
What is the significance of the z-table?
Back
The z-table provides the area (probability) to the left of a given z-score in a standard normal distribution, allowing for the calculation of probabilities.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
What is the probability of a z-score being less than a certain value?
Back
To find the probability of a z-score being less than a certain value, refer to the z-table to find the corresponding area under the curve.
Tags
CCSS.HSS.ID.A.4
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