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Use Z-Scores To Compare Data Points From Different Scales

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?

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? 

 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?

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

 If two data points have the same z-score, what does that indicate about their positions in their respective datasets?

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?

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?

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?

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?

 A z-score of 2.0 represents a data point that is how many standard deviations above the mean?