Median, Mode, and Range are measures of central tendency and dispersion in a dataset. Here's a detailed explanation of each:

1. Median:

   • The median is the middle value in a dataset when the numbers are arranged in ascending or descending order.
   • If the dataset has an odd number of observations, the median is the middle number.
   • If the dataset has an even number of observations, the median is the average of the two middle numbers.
   • Example:
     • Dataset: 3, 5, 7, 9, 11
     • Median: 7 (middle value)
     • Dataset: 3, 5, 7, 9, 11, 13
     • Median: (7 + 9) / 2 = 8

2. Mode:

   • The mode is the value that appears most frequently in a dataset.
   • A dataset can have more than one mode if multiple values appear with the same highest frequency.
   • If no number repeats, the dataset is said to have no mode.
   • Example:
     • Dataset: 3, 5, 7, 7, 9, 11
     • Mode: 7 (appears most frequently)
     • Dataset: 3, 5, 5, 7, 7, 9, 11
     • Mode: 5 and 7 (both appear most frequently)

3. Range:

   • The range is the difference between the highest and lowest values in a dataset.
   • It gives a measure of how spread out the values are.
   • Example:
     • Dataset: 3, 5, 7, 9, 11
     • Range: 11 - 3 = 8

Example Dataset:

Consider the dataset: 4, 8, 6, 5, 3, 9, 6, 2, 7

1. Median:

   • Arrange in order: 2, 3, 4, 5, 6, 6, 7, 8, 9
   • Median: 6 (middle value)

2. Mode:

   • Mode: 6 (appears twice, more frequently than any other number)

3. Range:

   • Highest value: 9
   • Lowest value: 2
   • Range: 9 - 2 = 7

Do you want details or have any questions?

Here are 5 numbered questions for you to ask:

1. How do you find the mean of a dataset?
2. Can you explain standard deviation and how to calculate it?
3. What is the difference between permutations and combinations?
4. How do you solve linear inequalities?
5. Can you explain how to graph a quadratic function?

Tip: Understanding these measures helps in summarizing and analyzing data, which is crucial in statistics for making informed decisions.