Understanding Normal Distribution and Z-Scores
Interactive Video
•
Ethan Morris
•
Mathematics, Science
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9th - 12th Grade
•
Hard
19:36
10 questions
Show answers
1.
Multiple Choice
What does the empirical rule state about data within one standard deviation of the mean?
Approximately 50% of data falls within one standard deviation.
Approximately 68% of data falls within one standard deviation.
Approximately 95% of data falls within one standard deviation.
Approximately 99.7% of data falls within one standard deviation.
2.
Multiple Choice
What is the mean and standard deviation of the standard normal distribution?
Mean is 1, standard deviation is 0
Mean is 0, standard deviation is 1
Mean is 0, standard deviation is 0
Mean is 1, standard deviation is 1
3.
Multiple Choice
How do you calculate a z-score for a data value?
Multiply the data value by the mean and divide by the standard deviation
Subtract the mean from the data value and divide by the standard deviation
Add the mean to the data value and divide by the standard deviation
Subtract the standard deviation from the data value and divide by the mean
4.
Multiple Choice
If a z-score is negative, what does it indicate about the data value?
The data value is equal to the mean
The data value is below the mean
The data value is at the maximum
The data value is above the mean
5.
Multiple Choice
What is the z-score for a data value of 26, given a mean of 22 and a standard deviation of 5?
0.8
1.6
0.4
1.2
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