What is the mean of a normally distributed set of test scores if a score of 76 is 3 standard deviations below the mean and a score of 88 is 1 standard deviation above the mean?
NC Math 3 Final Exam Review

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Mathematics
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11th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The mean is 85.
2.
FLASHCARD QUESTION
Front
Back
The solution is x = 0.195.
3.
FLASHCARD QUESTION
Front
Back
The solution set is {-4, 3, 5}.
4.
FLASHCARD QUESTION
Front
What is stratified sampling in research?
Back
Stratified sampling involves dividing a population into subgroups (strata) and randomly selecting samples from each stratum to ensure representation.
5.
FLASHCARD QUESTION
Front
What is the formula for the mean of a data set?
Back
The mean is calculated as the sum of all data points divided by the number of data points.
6.
FLASHCARD QUESTION
Front
What does it mean for a distribution to be normally distributed?
Back
A normally distributed data set has a symmetric bell-shaped curve where most of the observations cluster around the central peak.
7.
FLASHCARD QUESTION
Front
What is the significance of standard deviation in a data set?
Back
Standard deviation measures the amount of variation or dispersion in a set of values.
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