Final answer:
The mean, median, mode, range, and MAD are best used in data depending on the distribution and characteristics of the data.
Step-by-step explanation:
Mean:
The mean is the average value of a data set and is best used when the data is evenly distributed and there are no extreme values or outliers. For example, the mean can be used to calculate the average test score of a class.
Median:
The median is the middle value of a data set and is best used when there are extreme values or outliers present. For example, the median can be used to find the middle income in a city.
Mode:
The mode is the most frequently occurring value in a data set and is best used when determining the most common data point. For example, the mode can be used to find the most popular color in a survey.
Range:
The range is the difference between the maximum and minimum values in a data set and is best used when determining the spread of the data. For example, the range can be used to find the difference in high and low temperatures.
MAD:
The MAD (Mean Absolute Deviation) is the average distance between each data point and the mean. It is best used when determining the variability of the data. For example, the MAD can be used to find the average deviation of test scores from the mean.