Normal Distribution Flashcard - AP Stats

Flashcard
•
Mathematics
•
12th Grade
•
Hard
Quizizz Content
FREE Resource
Student preview

15 questions
Show all answers
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 are the key characteristics of a normal distribution?
Back
1. Symmetrical shape. 2. Mean, median, and mode are all equal. 3. The total area under the curve is 1. 4. Approximately 68% of data falls within one standard deviation of the mean.
3.
FLASHCARD QUESTION
Front
What is the empirical rule (68-95-99.7 rule)?
Back
The empirical rule states that for a normal distribution: 68% of data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations of the mean.
4.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
5.
FLASHCARD QUESTION
Front
What does a z-score represent?
Back
A z-score represents the number of standard deviations a data point is from the mean. A positive z-score indicates the value is above the mean, while a negative z-score indicates it is below the mean.
6.
FLASHCARD QUESTION
Front
What is the significance of the area under the normal curve?
Back
The area under the normal curve represents the probability of a value falling within a certain range. The total area under the curve equals 1, representing 100% probability.
7.
FLASHCARD QUESTION
Front
What is the mean 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 distribution.
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
3.1 - 3.2 Practice

Flashcard
•
12th Grade
15 questions
Normal Distributions: Empirical Rule Practice

Flashcard
•
12th Grade
15 questions
Prob/Stats - Lesson 4.2 Activity

Flashcard
•
12th Grade
15 questions
Unit 5 Review

Flashcard
•
12th Grade
15 questions
Normal Distributions: Empirical Rule Practice

Flashcard
•
12th Grade
15 questions
Normal Distribution Practice

Flashcard
•
12th Grade
15 questions
Interpreting z-scores

Flashcard
•
12th Grade
12 questions
2-5 Finding area under a normal curve

Flashcard
•
12th Grade
Popular Resources on Wayground
50 questions
Trivia 7/25

Quiz
•
12th Grade
11 questions
Standard Response Protocol

Quiz
•
6th - 8th Grade
11 questions
Negative Exponents

Quiz
•
7th - 8th Grade
12 questions
Exponent Expressions

Quiz
•
6th Grade
4 questions
Exit Ticket 7/29

Quiz
•
8th Grade
20 questions
Subject-Verb Agreement

Quiz
•
9th Grade
20 questions
One Step Equations All Operations

Quiz
•
6th - 7th Grade
18 questions
"A Quilt of a Country"

Quiz
•
9th Grade