Practice using the Normal Curve

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Normal Curve?
Back
The Normal Curve, also known as the Gaussian distribution, is a bell-shaped curve that represents the distribution of many types of data. It is characterized by its mean (average) and standard deviation (spread).
2.
FLASHCARD QUESTION
Front
What does the mean (μ) represent in a normal distribution?
Back
The mean (μ) is the average value of a data set and is the center of the normal distribution curve.
3.
FLASHCARD QUESTION
Front
What does the standard deviation (σ) indicate in a normal distribution?
Back
The standard deviation (σ) measures the amount of variation or dispersion in a set of values. A smaller σ indicates that the data points tend to be closer to the mean.
4.
FLASHCARD QUESTION
Front
What percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
Approximately 68% of the data falls within one standard deviation (μ ± σ) of the mean.
5.
FLASHCARD QUESTION
Front
What percentage of data falls within two standard deviations of the mean in a normal distribution?
Back
Approximately 95% of the data falls within two standard deviations (μ ± 2σ) of the mean.
6.
FLASHCARD QUESTION
Front
What percentage of data falls within three standard deviations of the mean in a normal distribution?
Back
Approximately 99.7% of the data falls within three standard deviations (μ ± 3σ) of the mean.
7.
FLASHCARD QUESTION
Front
How do you find the median of a data set?
Back
To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of observations, the median is the average of the two middle values.
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