z-score practice
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Easy
Wayground Content
Used 1+ times
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
2.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
To calculate a z-score, use the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.
3.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the value is above the mean.
4.
FLASHCARD QUESTION
Front
What does a negative z-score indicate?
Back
A negative z-score indicates that the value is below the mean.
5.
FLASHCARD QUESTION
Front
If the mean waist size is 29 inches and the standard deviation is 2 inches, what is the z-score for a waist size of 33 inches?
Back
The z-score is 2.
6.
FLASHCARD QUESTION
Front
If the mean height of 3rd graders is 52 inches and the standard deviation is 2.5 inches, what is the z-score for a height of 47 inches?
Back
The z-score is -2.
7.
FLASHCARD QUESTION
Front
What percentage of data falls within one standard deviation of the mean in a normal distribution?
Back
Approximately 68% of the data falls within one standard deviation of the mean.
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