Find and interpret the 2 -score for the data value given. The value 8.8 in a dataset with mean 5 and standard deviation 1 Round your answer to two decimal places. The value is i standard deviations

To find the z-score, you can use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] where \( X \) is the data value (8.8), \( \mu \) is the mean (5), and \( \sigma \) is the standard deviation (1). Plugging in your values: \[ z = \frac{(8.8 - 5)}{1} = \frac{3.8}{1} = 3.8 \] So, the z-score is 3.80, which means the value 8.8 is 3.80 standard deviations above the mean of the dataset. When interpreting the z-score, a value of 3.80 indicates that this data point is significantly higher than the average, suggesting it may be an outlier or represents a particularly high observation in the context of the dataset.