Sure! Here are the formulas for mean, mode, and median:

1. Mean (Arithmetic Average): The mean is the sum of all the numbers in a data set divided by the total number of values.

   $\text{Mean} = \frac{\sum x_i}{n}$ Where:

   • $\sum x_i$ is the sum of all data points
   • $n$ is the number of data points

2. Mode: The mode is the value that appears most frequently in a data set. There can be:

   • No mode (if no number repeats)
   • One mode (unimodal)
   • More than one mode (bimodal or multimodal)

   No specific formula is used for the mode; it is simply the most frequent value.

3. Median: The median is the middle value when the data points are arranged in ascending order.

   • For an odd number of values, the median is the middle value.
   • For an even number of values, the median is the average of the two middle values.
   \begin{cases} \text{Middle value, if } n \text{ is odd} \\ \frac{\text{(n/2)th value} + \text{(n/2 + 1)th value}}{2}, \text{ if } n \text{ is even} \end{cases}$$

Let me know if you would like to go deeper into how each of these measures of central tendency is calculated or applied! 😊

---

Related Questions:

1. How do you calculate the mean for a weighted data set?
2. What happens when a data set has no mode or multiple modes?
3. How do you calculate the median for grouped data?
4. What are the advantages and disadvantages of using mean, median, or mode?
5. How do outliers affect the mean and median differently?

Tip: When you have a skewed data set, the median can often provide a more accurate reflection of the "center" than the mean.