Normal Distribution
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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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 probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
2.
FLASHCARD QUESTION
Front
What does the mean represent in a normal distribution?
Back
The mean is the average of all data points in a normal distribution and is located at the center of the curve.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
3.
FLASHCARD QUESTION
Front
What is the standard deviation in a normal distribution?
Back
The standard deviation measures the amount of variation or dispersion of a set of values. In a normal distribution, it determines the width of the curve.
4.
FLASHCARD QUESTION
Front
What is the Empirical Rule?
Back
The Empirical Rule states that for a normal distribution: approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
What does it mean if a distribution is skewed to the left?
Back
A left-skewed distribution has a longer tail on the left side, indicating that the majority of the data points are concentrated on the right.
6.
FLASHCARD QUESTION
Front
What is the significance of the area under the normal curve?
Back
The area under the normal curve represents the total probability of all outcomes, which equals 1.
7.
FLASHCARD QUESTION
Front
How do you find the z-score?
Back
The z-score is calculated by subtracting the mean from the value and then dividing by the standard deviation: z = (X - μ) / σ.
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