2. What is the difference between mean, median, and mode?
Answer (1)
Answer:The mean, median, and mode are three different measures of central tendency, used to describe the center or typical value of a data set. Here's a breakdown of each:---1. Mean (Average)Definition: The sum of all values divided by the number of values.Formula:\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}For the numbers: 2, 4, 6, 8\text{Mean} = \frac{2 + 4 + 6 + 8}{4} = 5---2. MedianDefinition: The middle value when the data is sorted in order.If the number of values is odd, the median is the middle number.If the number of values is even, the median is the average of the two middle numbers.Example:For the numbers: 1, 3, 3, 6, 7, 8, 9 → Median = 6For the numbers: 1, 2, 3, 4 →\text{Median} = \frac{2 + 3}{2} = 2.5---3. ModeDefinition: The value that appears most frequently in a data set.A set can have:One mode (unimodal)More than one mode (bimodal or multimodal)No mode (if all values occur only once)Example:For the numbers: 2, 4, 4, 6, 7 → Mode = 4For the numbers: 1, 2, 2, 3, 3 → Modes = 2 and 3 (bimodal)---
