An extreme score that sets apart in value from the general distribution of values with which it is connected is known as…?
An outlier.
An anomilous indicator
An extreme score that sets apart in value from the general distribution of values with which it is connected is known as an outlier.
The extreme score that sets apart in value from the general distribution of values with which it is connected is known as an outlier. Outliers can be observed in various datasets and are often valued for their ability to provide valuable insights into the data. To determine if a data point is an outlier, one can use statistical measures such as the interquartile range (IQR) or z-score.
To identify outliers using the IQR method, you would follow these steps:
1. Calculate the IQR by subtracting the first quartile (Q1) from the third quartile (Q3).
2. Multiply the IQR by 1.5 to determine the upper and lower bounds.
3. Any data point that falls below the lower bound or above the upper bound is considered an outlier.
Another approach is to use z-scores:
1. Calculate the mean (μ) and standard deviation (σ) of the dataset.
2. Calculate the z-score for each data point using the formula: z = (x - μ) / σ, where x is the data point.
3. Typically, a z-score greater than 3 or smaller than -3 is considered an outlier.
Identifying and understanding outliers can help in detecting errors, anomalies, or unusual patterns in the data, thereby providing valuable insights and avoiding biased analysis.