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GG. Find the mode, median, or range

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What are Mode, Median, and Range?

Mode, Median, and Range are ways to describe and understand a set of numbers. They help us see patterns, compare values, and summarize data in simple terms.

Examples of uses:
  • The mode shows the number that appears most often.
  • The median shows the middle number when the data is in order.
  • The range shows the difference between the largest and smallest numbers.
Note

These three ideas help us better understand and organize numbers in real-life data, such as test scores or sports results.

How to find the Mode

The mode is the number that appears most often in a data set. There can be one mode, more than one mode, or no mode at all.

Steps:
  • Look at the data: 6, 8, 10, 8, 12, 14, 8, 16
  • Find the number that repeats the most.
  • The number 8 appears three times β†’ the mode is 8.
Note

If two numbers appear the same number of times, the data is called β€œbimodal.” If no number repeats, there is no mode.

How to find the Median

The median is the middle number when the data is written in order from least to greatest.

Steps:
  • Data: 4, 7, 9, 11, 13, 15, 18
  • Put numbers in order (already done).
  • The middle number is 11 β†’ the median is 11.
Even number of data:
  • Data: 5, 8, 10, 12, 14, 20
  • Two middle numbers: 10 and 12
  • Add them and divide by 2 β†’ (10 + 12) Γ· 2 = 11
  • The median is 11.
Note

The median helps you find the center of the data, even if the numbers are very spread out.

How to find the Range

The range tells how spread out the numbers are. It is the difference between the largest and smallest numbers in a set.

Steps:
  • Data: 3, 7, 12, 15, 19
  • Largest number: 19
  • Smallest number: 3
  • Subtract β†’ 19 - 3 = 16
  • The range is 16.
Note

The range shows how far the data stretches from the lowest to the highest value.

Putting it all together

Let’s use all three with one set of numbers.

Example:
  • Data: 4, 8, 10, 8, 12, 14, 16, 18
  • Mode: 8 (appears most often)
  • Median: Middle of 10 and 12 β†’ 11
  • Range: 18 - 4 = 14
Note

Mode shows what happens most, median shows the middle, and range shows how far the numbers spread apart.