A z-score of z = +3.00 indicates a location that is the following

It means the event/observation is 3.00 standard deviations ABOVE the mean

Which x value has the higher position relative to the set of data from which it comes?

A: x = 84, where mean = 74 and standard deviation = 5
B: x = 91, where mean = 81 and standard deviation = 4

A z-score of +3.00 indicates a location that is 3 standard deviations above the mean.

A z-score of z = +3.00 indicates a location that is three standard deviations above the mean in a normal distribution. A z-score measures how many standard deviations a given data point is away from the mean. In this case, a z-score of +3.00 indicates that the data point is at a significantly higher value than the mean.

To understand how to calculate the z-score, you need the following information:
1. The value you want to convert to a z-score.
2. The mean of the dataset.
3. The standard deviation of the dataset.

Once you have this information, you can calculate the z-score using the formula:

z = (x - μ) / σ

Where:
- z is the z-score
- x is the value you want to convert
- μ is the mean of the dataset
- σ is the standard deviation of the dataset

By plugging in the values into the formula, you can calculate the z-score. In this case, the z-score is +3.00, indicating that the value is three standard deviations above the mean.