Calculating z-scores

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a z-score?
Back
A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It indicates how many standard deviations an element is from the mean.
2.
FLASHCARD QUESTION
Front
How do you calculate a z-score?
Back
The formula for calculating a z-score is: z = (x - mean) / standard deviation, where x is the value, mean is the average of the dataset, and standard deviation measures the dispersion of the dataset.
3.
FLASHCARD QUESTION
Front
What does a positive z-score indicate?
Back
A positive z-score indicates that the value is above the mean of the dataset.
4.
FLASHCARD QUESTION
Front
What does a negative z-score indicate?
Back
A negative z-score indicates that the value is below the mean of the dataset.
5.
FLASHCARD QUESTION
Front
If the mean is 40 and the standard deviation is 1.4, what is the z-score for x = 42?
Back
z = (42 - 40) / 1.4 = 1.43.
6.
FLASHCARD QUESTION
Front
If the mean is 45 and the standard deviation is 2.1, what is the z-score for x = 50?
Back
z = (50 - 45) / 2.1 = 2.38.
7.
FLASHCARD QUESTION
Front
If the mean is 22.8 and the standard deviation is 7, what is the z-score for x = 20?
Back
z = (20 - 22.8) / 7 = -0.4.
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