A statistical analysis that shows how data points deviate from the mean is known as?

A statistical analysis that shows how data points deviate from the mean is known as?

• A. Standard deviation
• B. Range
• C. Median
• D. Interquartile range

Answer: (A)

The statistical analysis that shows how data points deviate from the mean is known as the standard deviation. This measure quantifies the amount of variation or dispersion in a set of data points. Specifically, it indicates how much individual data points differ from the average (mean) of the dataset. A low standard deviation means that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values. In contrast to standard deviation, the range measures the difference between the highest and lowest values in a dataset, providing a simple overview of spread but lacking detail regarding how values distribute around the mean. The median represents the middle value when data points are ordered and does not relate to how they deviate from the mean. The interquartile range measures the spread of the middle 50% of the data, thus excluding extremes, which also does not reflect how individual data points vary from the mean. Therefore, the focus of the question on deviation from the mean clearly identifies standard deviation as the appropriate choice.

The statistical analysis that shows how data points deviate from the mean is known as the standard deviation. This measure quantifies the amount of variation or dispersion in a set of data points. Specifically, it indicates how much individual data points differ from the average (mean) of the dataset. A low standard deviation means that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.

In contrast to standard deviation, the range measures the difference between the highest and lowest values in a dataset, providing a simple overview of spread but lacking detail regarding how values distribute around the mean. The median represents the middle value when data points are ordered and does not relate to how they deviate from the mean. The interquartile range measures the spread of the middle 50% of the data, thus excluding extremes, which also does not reflect how individual data points vary from the mean. Therefore, the focus of the question on deviation from the mean clearly identifies standard deviation as the appropriate choice.