2. how do the mean, median and mode compare when using descriptive statistics compared to the formulas?

Brief Explanations:

When using descriptive statistics, the mean is the arithmetic - average calculated by summing all data points and dividing by the number of data points. The median is the middle - value when data is ordered; for an even number of data points, it's the average of the two middle values. The mode is the most frequently occurring value. Formulas provide a precise way to calculate these measures. In descriptive statistics, these concepts are used to summarize and understand the data's central tendency. The mean is sensitive to extreme values, the median is robust to outliers, and the mode represents the most common value.

Answer:

The mean is the arithmetic average, the median is the middle value (or average of two middle values for even - sized data sets), and the mode is the most frequently occurring value. The formulas give a precise way to calculate them, and in descriptive statistics, they are used to understand the central tendency of data with different sensitivities to extreme values and outliers.