1. The problem is to understand the definitions and differences between mean, median, and mode. 2. Mean is the average of a set of numbers, calculated by summing all values and dividing by the count: $$\text{Mean} = \frac{\sum x_i}{n}$$ where $x_i$ are the data points and $n$ is the number of points. 3. Median is the middle value when the data is ordered from smallest to largest. If $n$ is odd, median is the middle number; if even, median is the average of the two middle numbers. 4. Mode is the value that appears most frequently in the data set. There can be no mode, one mode, or multiple modes. 5. These measures describe the central tendency of data but differ in sensitivity to outliers and data distribution. 6. Example: For data set $\{2, 3, 3, 5, 7\}$: - Mean: $$\frac{2+3+3+5+7}{5} = \frac{20}{5} = 4$$ - Median: Ordered data is $\{2,3,3,5,7\}$, middle value is $3$ - Mode: $3$ appears twice, more than others, so mode is $3$. 7. Summary: - Mean is the arithmetic average. - Median is the middle value. - Mode is the most frequent value.