Empirical Rule and Normal Distributions Flashcard

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Wayground Content
FREE Resource
Student preview

16 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the Empirical Rule in statistics?
Back
The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
2.
FLASHCARD QUESTION
Front
How do you calculate the z-score?
Back
The z-score is calculated using the formula: z = (x - mean) / standard deviation, where x is the value for which you are calculating the z-score.
3.
FLASHCARD QUESTION
Front
What percentage of data lies below the mean in a normal distribution?
Back
In a normal distribution, 50% of the data lies below the mean.
4.
FLASHCARD QUESTION
Front
If a normal distribution has a mean of 100 and a standard deviation of 15, what is the z-score for a value of 130?
Back
The z-score is calculated as z = (130 - 100) / 15 = 2.
5.
FLASHCARD QUESTION
Front
What does a z-score of 0 indicate?
Back
A z-score of 0 indicates that the value is exactly equal to the mean of the distribution.
6.
FLASHCARD QUESTION
Front
What is the significance of the standard deviation in a normal distribution?
Back
The standard deviation measures the dispersion or spread of the data points around the mean; a smaller standard deviation indicates that the data points are closer to the mean.
7.
FLASHCARD QUESTION
Front
In a normal distribution, what percentage of data falls within two standard deviations of the mean?
Back
Approximately 95% of the data falls within two standard deviations of the mean in a normal distribution.
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Finding Z - Score

Flashcard
•
11th - 12th Grade
15 questions
Empirical Rule & Z-Scores

Flashcard
•
11th - 12th Grade
15 questions
Standard Normal Distribution Practice

Flashcard
•
11th - 12th Grade
15 questions
Dec 13th Pack Day Assignment

Flashcard
•
11th Grade
15 questions
Chapter 5 Normal Distribution Probabilities 2023

Flashcard
•
11th Grade
15 questions
Final Review U1 Inferential Statististics

Flashcard
•
11th Grade
15 questions
Z-Score Practice

Flashcard
•
11th Grade
15 questions
Empirical Rule & Z-Scores

Flashcard
•
11th - 12th Grade
Popular Resources on Wayground
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
10 questions
Nouns, nouns, nouns

Quiz
•
3rd Grade
10 questions
9/11 Experience and Reflections

Interactive video
•
10th - 12th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
11 questions
All about me

Quiz
•
Professional Development
22 questions
Adding Integers

Quiz
•
6th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
9 questions
Tips & Tricks

Lesson
•
6th - 8th Grade
Discover more resources for Mathematics
20 questions
Multi-Step Equations and Variables on Both Sides

Quiz
•
9th - 12th Grade
12 questions
PCTI Stem Academy Gradebook Review

Lesson
•
9th - 12th Grade
20 questions
Points, Lines & Planes

Quiz
•
9th - 11th Grade
20 questions
Week 4 Memory Builder 1 (Squares and Roots) Term 1

Quiz
•
9th - 12th Grade
20 questions
Solve One and Two Step Equations

Quiz
•
9th - 11th Grade
16 questions
Positive vs Negative Intervals

Quiz
•
9th - 12th Grade
20 questions
Solving Absolute Value Equations

Quiz
•
11th - 12th Grade
17 questions
Identify Geometric Concepts and Relationships

Quiz
•
9th - 12th Grade