Correct option is C
1. Average deviation is the mean of the absolute deviations of each data point from the central value (mean or median). It is a simple and intuitive measure of dispersion that considers every score and does not exaggerate the impact of outliers.
2. Standard deviation is similar to average deviation but squares the deviations before averaging. This squaring process makes standard deviation more sensitive to extreme values (outliers), providing a greater measure of spread when data points are far from the mean.
3. Both standard deviation and average deviation measure dispersion, but standard deviation is more commonly used due to its mathematical properties, especially in inferential statistics.
Additional Information
(1) Range:
1.1. The range is the difference between the maximum and minimum values in a dataset.
1.2. It is sensitive to outliers, which makes it an unreliable measure for datasets with extreme values.
(2) Quartile Deviation:
2.1. Quartile deviation is the half of the interquartile range (Q3 - Q1).
2.2. It measures the spread of the middle 50% of the data, ignoring extreme values.
(4) Inter-quartile Range (IQR):
4.1. The IQR measures the range between the first and third quartiles (Q3 - Q1).
4.2. It represents the spread of the middle 50% of the data and is less affected by outliers.
Explanation of Deviation
Deviation refers to the difference between a data point and a central value (mean, median, or mode). It indicates how far a data point is from the center of the dataset.