Changes in mean, median, mode, and range

Learning Objectives Identify the median, mode, and range for a small group of numbers. Describe what happens when every number in a group is multiplied. Predict the new median when all numbers in a group are multiplied by 2 or 3. Predict the new mode when all numbers in a group are multiplied by 2 or 3. Predict the new range when all numbers in a group are multiplied by 2 or 3. Explain that multiplication changes the whole group in a predictable way. What if all your friends doubled their number of toys? 🧸➡️🧸🧸 Let's see how that changes everything! We will learn about special numbers called mean, median, mode, and range. Then, we will use our super multiplication skills to see how they change. It's like a math magic trick! ✨ Real-World Applications Seeing...

TermDefinitionExample MedianThe number that is right in the middle! ↔️In the group {1, 3, 8}, the median is 3. It's in the middle! ModeThe number that shows up the most. It's the most popular! 🏆In the group {2, 4, 4, 5}, the mode is 4. You see it most often. RangeThe space between the biggest and smallest number. 📏In the group {2, 5, 9}, the biggest is 9 and smallest is 2. The range is 9 - 2 = 7. MeanThe 'fair share' number if everyone had the same amount. 🤝In the group {2, 4, 6}, the mean is 4. It's the fair share amount. MultiplyMaking a number bigger by adding it to itself many times. ➕➕3 × 2 means 3 + 3, which is 6. Two groups of three.

The Multiplication Change Rule New Value = Old Value × Multiplier When you multiply ALL numbers in a group by the same number (the multiplier), the mean, median, mode, and range also get multiplied by that same number! Finding the Median Rule 1. Order Numbers. 2. Find Middle. Always put your numbers in order from smallest to biggest before you look for the middle number.