Mean Median Modus 522051
1. The problem is to understand the concepts of mean, median, and mode (modus) in statistics.
2. **Mean** is the average of a set of numbers. It is calculated by summing all the numbers and dividing by the count of numbers. The formula is:
$$\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}$$
where $x_i$ are the data points and $n$ is the number of data points.
3. **Median** is the middle value when the data points are arranged in ascending order. If $n$ is odd, the median is the middle number. If $n$ is even, the median is the average of the two middle numbers.
4. **Mode (Modus)** is the value that appears most frequently in the data set. There can be more than one mode if multiple values have the same highest frequency.
5. These measures help summarize data: mean gives the average, median gives the center value, and mode shows the most common value.
6. Example: For data set $\{2, 3, 3, 5, 7\}$:
- Mean: $\frac{2+3+3+5+7}{5} = \frac{20}{5} = 4$
- Median: The middle value is $3$
- Mode: The most frequent value is $3$
This completes the explanation of mean, median, and mode.