Math with Mr. J: Mean, Median, Mode, and Range

Introduction

• Understanding mean, median, mode, and range helps in analyzing data.

Key Concepts

Ordering Data

• Always start by ordering data from least to greatest before finding mean, median, mode, and range.

Mean (Average)

• Definition: Sum of all numbers divided by the count of numbers.
• Example Calculation:
  • Sum = 753 (e.g., adding 72, 73, 79, etc.)
  • Count of numbers = 9
  • Mean = 753 ÷ 9 = 83.67 (rounded to nearest hundredth)

Median

• Definition: Middle number in an ordered data set.
• Odd Number of Data Points: Middle number is the center value (e.g., 84 in a set of 9 numbers).
• Even Number of Data Points: Average the two middle numbers.
• Linked video available for more examples.

Mode

• Definition: Number that occurs most frequently.
• Example:
  • Data: Two 90s, Three 84s, others occur once.
  • Mode = 84
  • Possibility of multiple modes if multiple numbers occur with the same highest frequency.

Range

• Definition: Difference between largest and smallest numbers.
• Example Calculation:
  • Largest number = 97, Smallest number = 72
  • Range = 97 - 72 = 25

Additional Resources

• Links to more videos on the topics provided for further help and examples.

Note: The video is structured to provide practical understanding through examples, encouraging further exploration via linked resources. Thank you for learning with Math with Mr. J!