A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It is measured in terms of standard deviations from the mean. If a z-score is 0, it indicates that the data point's score is identical to the mean score. A z-score of 1.0 would indicate a value that is one standard deviation from the mean. This measure is used to understand the standard deviation's significance, implying how extraordinary or usual a data point may be.
| Topic | Problem | Solution |
|---|---|---|
| None | Assume that the scores on a certain test are norm… | Step 1: Identify the value of the score (X), the mean (\(\mu\)), and the standard deviation (\(\sig… |
| None | Compute the following equation; $\sigma_{x}=15$ $… | Given that the standard deviation of the population, denoted as \(\sigma_{X}\), is 15 and the size … |
| None | In a survey of women in a certain country (ages $… | The problem is asking for the 95th percentile and the first quartile (25th percentile) of a normal … |