Mathematics Grade 3 15 min

Mean, median, mode, and range

Mean, median, mode, and range

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Introduction & Learning Objectives

Learning Objectives Define mean, median, mode, and range using simple words. Find the range of a small set of numbers. Identify the mode in a small set of numbers. Order a set of numbers to find the median. Calculate the mean of a small set of numbers by adding and then sharing equally (dividing). Explain the difference between mean, median, and mode. If you and your friends all got a different number of stickers, how could you figure out the 'typical' number of stickers for your group? 🤔✨ Today, we are going to learn four amazing tools that help us understand groups of numbers. These tools are called mean, median, mode, and range. They help us see what's common, what's in the middle, and how spread out our numbers are. Real-World Applications Find...
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Key Concepts & Vocabulary

TermDefinitionExample Data SetA group or collection of numbers that we want to look at.The number of pets your friends have: {2, 1, 1, 4, 0} RangeThe difference between the biggest and smallest number in a data set. It tells us how spread out the numbers are.In the set {3, 9, 2, 5}, the biggest is 9 and the smallest is 2. The range is 9 - 2 = 7. ModeThe number that appears MOST often in a data set. Think 'MO' for Most Often.In the set {4, 6, 2, 6, 3}, the mode is 6 because it appears twice. MedianThe number that is in the very MIDDLE of a data set AFTER you put the numbers in order from smallest to largest.In the set {2, 5, 8}, the median is 5. In {1, 3, 4, 7, 9}, the median is 4. Mean (or Average)The 'fair share' number. You find it by adding all the numbers together...
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Core Formulas

How to Find the Range Range = Biggest Number - Smallest Number First, find the largest number in your data set. Then, find the smallest number. Subtract the smallest from the largest to get the range. How to Find the Mean Mean = (Add all the numbers together) ÷ (How many numbers you have) This is a two-step rule. First, find the sum of all the numbers. Second, divide that sum by the count of numbers in your set.

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Sample Practice Questions

Challenging
A set of five numbers has a median of 12, a mode of 15, and a range of 10. Which of these could be the set of numbers?
A.{5, 8, 12, 15, 15}
B.{12, 12, 15, 15, 22}
C.{5, 12, 12, 15, 15}
D.{2, 5, 12, 15, 15}
Challenging
The numbers of laps run by students are: 4, 6, 8, 4, 9, 6, 5. This data set has two modes. What are they?
A.8 and 9
B.5 and 6
C.4 and 8
D.4 and 6
Challenging
Four friends have 1, 5, 2, and 4 toy cars. They want to put all the cars together and share them equally so they each have the mean number. How many cars will each friend get?
A.12
B.4
C.3
D.5

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