
Density Curves, Percentiles, and Normal Distribution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Michael Weingarden
FREE Resource
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5 questions
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1.
FLASHCARD QUESTION
Front
What is a density curve?
Back
A density curve is a graph that shows the probability distribution of a continuous random variable. The area under the curve represents the total probability, which is 1.
2.
FLASHCARD QUESTION
Front
What is a percentile?
Back
A percentile is a measure that indicates the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value below which 20% of the observations may be found.
3.
FLASHCARD QUESTION
Front
What is a normal distribution?
Back
A normal distribution is a type of continuous probability distribution for a real-valued random variable. It is symmetric, and its shape is often referred to as a 'bell curve.'
4.
FLASHCARD QUESTION
Front
How do you calculate the percentile of a data point in a normal distribution?
Back
To calculate the percentile of a data point in a normal distribution, you can use the standard normal distribution table (Z-table) to find the probability that a standard normal random variable is less than or equal to a given value.
5.
FLASHCARD QUESTION
Front
What is the significance of the area under a density curve?
Back
The area under a density curve represents the total probability of all possible outcomes for a continuous random variable, which is always equal to 1.
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