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If the z-score of a data point is -2.5, what can you infer about its position relative to the mean in a normal distribution?
It is close to the mean
It is below the mean
It is above the mean
A z-score of 2.0 represents a data point that is how many standard deviations above the mean?
1 standard deviation
2 standard deviations
0 standard deviations
A dataset of temperatures has a mean of 20°C and a standard deviation of 5°C. What is the z-score for a temperature of 15°C
- 1
1.5
2
A dataset of reaction times has a mean of 0.2 seconds and a standard deviation of 0.05 seconds. What is the z-score for a reaction time of 0.15 seconds?
A dataset of student ages has a mean of 20 years and a standard deviation of 2 years. What is the z-score for a student who is 22 years old?
1
In a dataset of salaries with a mean of $60,000 and a standard deviation of $10,000, what is the z-score for a person earning $75,000?
In a dataset of house sizes, the mean is 2,000 square feet, and the standard deviation is 500 square feet. What is the z-score for a house with an area of 2,500 square feet?
If two data points have the same z-score, what does that indicate about their positions in their respective datasets?
They have the same relative position in their datasets
They are both outliers
They are both below the mean
In a dataset of heights with a mean of 170 cm and a standard deviation of 10 cm, what is the z-score for a person who is 180 cm tall?
0.5
In a dataset of exam scores with a mean of 75 and a standard deviation of 10, what is the z-score for a student who scored 70?
-0.5
It is done.