Normal Distribution -empirical rule
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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15 questions
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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 much of the data falls within 1 standard deviation according to the Empirical Rule?
Back
Approximately 68%.
3.
FLASHCARD QUESTION
Front
How much of the data falls within 2 standard deviations according to the Empirical Rule?
Back
Approximately 95%.
4.
FLASHCARD QUESTION
Front
How much of the data falls within 3 standard deviations according to the Empirical Rule?
Back
Approximately 99.7%.
5.
FLASHCARD QUESTION
Front
If a normal distribution has a mean of 75 and a standard deviation of 7, what is the z-score for a value of 68?
Back
The z-score is -1 (calculated as (68-75)/7).
6.
FLASHCARD QUESTION
Front
In a normal distribution, what does a z-score represent?
Back
A z-score represents the number of standard deviations a data point is from the mean.
7.
FLASHCARD QUESTION
Front
Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 68?
Back
Approximately 420 students.
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