Empirical Rule and Normal Distribution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What shape is a normal distribution curve?
Back
Bell curve
Tags
CCSS.6.SP.A.3
2.
FLASHCARD QUESTION
Front
According to the empirical rule, what percentage of data falls within 1 standard deviation?
Back
68%
Tags
CCSS.HSS.ID.A.4
3.
FLASHCARD QUESTION
Front
Which best describes the shaded part of this normal distribution graph?
Back
All data that is one or more standard deviations above the mean.
4.
FLASHCARD QUESTION
Front
Use the following information and the Empirical Rule to estimate the answer: The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4. Find the percentage of golfers that are between 30 and 46 years old.
Back
95%
Tags
CCSS.HSS.ID.A.4
5.
FLASHCARD QUESTION
Front
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. About what percent of the products last between 12 and 15 days?
Back
34%
Tags
CCSS.HSS.ID.A.4
6.
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% within two standard deviations, and 99.7% within three standard deviations.
Tags
CCSS.HSS.ID.A.4
7.
FLASHCARD QUESTION
Front
What does it mean for data to be normally distributed?
Back
Data is normally distributed when it follows a bell-shaped curve, where most of the observations cluster around the central peak and probabilities for values further away from the mean taper off equally in both directions.
Tags
CCSS.6.SP.A.3
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