to identify the measure of spread that indicates the average distance of each data point from the mean.

Question

ScanSolve AI Tutor · Accepted Answer

The question asks to identify the measure of spread that indicates the average distance of each data point from the mean.

Analyze the definition of each measure of spread.
- Variance measures the average of the squared differences from the mean. It is not the average distance itself.
- Standard Deviation is the square root of the variance. It quantifies the amount of variation or dispersion of a set of data values. A low standard deviation indicates 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. It represents the typical or average distance of data points from the mean.
- Range is the difference between the maximum and minimum values in a dataset. It only considers the two extreme values and does not reflect the average distance from the mean.
- Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). It measures the spread of the middle 50% of the data, not the average distance from the mean.
Relate the question to the provided Python code.
The Python code calculates standard_deviation = np.std(data). The output is given as 7.071067811865475. This explicitly shows that the code is calculating the standard deviation.
Conclude based on the definition and the code.
The measure of spread that indicates the average distance of each data point from the mean is the Standard Deviation. The Python code also calculates the standard deviation.

The correct option is Standard Deviation.

To identify the measure of spread that indicates the average distance of each data point from the mean.