To find the mean, median, and mode of a set of numbers, here's how you calculate each:

1. Mean (Average): The mean is the sum of all values divided by the number of values.

   $\text{Mean} = \frac{\sum \text{values}}{\text{number of values}}$

2. Median: The median is the middle value when the numbers are arranged in ascending order. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

3. Mode: The mode is the value(s) that appear most frequently. A set may have one mode, more than one mode, or no mode if no number repeats.

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Example

Consider this set of numbers: 3, 7, 8, 3, 9, 10, 7

• Mean: $\text{Mean} = \frac{3 + 7 + 8 + 3 + 9 + 10 + 7}{7} = \frac{47}{7} \approx 6.71$

• Median: The ordered set is: 3, 3, 7, 7, 8, 9, 10. The middle value is 7.

• Mode: The most frequent numbers are 3 and 7, so the mode is both 3 and 7 (bimodal).

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Would you like me to calculate the mean, median, and mode for a specific set of numbers? Feel free to provide them!

Related Questions:

1. What is the significance of the mean in a data set?
2. How does the presence of outliers affect the mean and median?
3. Can a set of data have more than one mode?
4. What if no number repeats? Is there still a mode?
5. How would you calculate the weighted mean?

Tip: The median is less sensitive to extreme values (outliers) compared to the mean.