Mathematics
Grade 2
15 min
Median, mode, and range
Median, mode, and range
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1
Introduction & Learning Objectives
Learning Objectives
Put a small set of numbers in order.
Find the middle number (median) in a list.
Find the number that appears most (mode).
Find the difference between the biggest and smallest number (range).
Explain what median, mode, and range mean.
Use these skills to look at data about toys or pets.
How many toys are in your toy box? ๐งธ Let's learn how to look at groups of numbers!
We will learn three new ideas: median, mode, and range. These are fun ways to understand numbers. They help us see what's in the middle, what's most popular, and how spread out things are.
Real-World Applications
Finding the most popular snack in class ๐
Seeing the middle score in a game ๐ฒ
Comparing the number of pets your friends have ๐ถ
Looking at the heights of...
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Key Concepts & Vocabulary
TermDefinitionExample
DataData is just a group of numbers we collect. ๐The number of cookies on 5 plates: 4, 2, 5, 2, 3.
SortSorting means putting numbers in order. We go from smallest to biggest. ๐ขThe numbers 4, 2, 5, 2, 3 become 2, 2, 3, 4, 5.
MedianThe median is the number in the very middle. 'Median' sounds like 'middle'. ๐งIn the sorted list 2, 2, 3, 4, 5, the median is 3.
ModeThe mode is the number you see the most. 'Mode' sounds like 'most'. ๐In the list 2, 2, 3, 4, 5, the mode is 2.
RangeThe range is the difference between the biggest and smallest number. ๐In the list 2, 2, 3, 4, 5, the range is 5 - 2 = 3.
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Core Formulas
How to Find the Median (The Middle)
1. Sort the numbers. 2. Find the one in the middle.
Use this to find the center of your data. Always sort your numbers first!
How to Find the Mode (The Most)
1. Look at all the numbers. 2. Find the number that shows up most often.
Use this to find what is most popular or common. You don't have to sort first, but it helps!
How to Find the Range (The Spread)
Biggest number - Smallest number = Range
Use this to see how spread out your numbers are. Find the biggest and smallest, then subtract.
4 more steps in this tutorial
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Challenging
Which set of numbers has a median of 10 and a range of 7?
A.7, 8, 10, 12, 14
B.5, 10, 15
C.10, 12, 14, 16, 17
D.3, 5, 10
Challenging
The ages of three friends are 7, 9, and 7. A new friend, who is 10, joins the group. How does the range change?
A.It stays the same
B.It gets smaller
C.It gets bigger
D.It becomes 7
Challenging
A set of three numbers has a mode of 10 and a range of 5. What is the median of the set?
A.5
B.15
C.10
D.8
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