Normal Distribution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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Student preview
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 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% falls within two standard deviations, and 99.7% falls within three standard deviations.
Tags
CCSS.HSS.ID.A.4
3.
FLASHCARD QUESTION
Front
What happens to the mean and median when an outlier is added to the right of a normal distribution?
Back
The mean will be greater than the median (mean > median).
4.
FLASHCARD QUESTION
Front
If the mean of a normal distribution is 30 and the standard deviation is 5, what is the value at one standard deviation below the mean?
Back
25.
5.
FLASHCARD QUESTION
Front
What percentage of data falls within two standard deviations of the mean in a normal distribution?
Back
95%.
Tags
CCSS.HSS.ID.A.4
6.
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, meaning that the majority of the data points are concentrated on the right.
7.
FLASHCARD QUESTION
Front
In a normal distribution, what is the relationship between the mean, median, and mode?
Back
In a normal distribution, the mean, median, and mode are all equal.
Tags
CCSS.6.SP.B.5D
CCSS.HSS.ID.A.2
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