Mathematics
Grade 3
15 min
Interpret charts to find mean, median, mode, and range
Interpret charts to find mean, median, mode, and range
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1
Introduction & Learning Objectives
Learning Objectives
Read a simple bar chart or pictograph to collect a set of data.
Define the terms mean, median, mode, and range.
Calculate the mode and range for a set of data from a chart.
Order a set of numbers to find the median.
Calculate the mean for a small set of whole numbers.
Explain what each measure (mean, median, mode, range) tells us about a set of data.
If we asked five friends how many pets they have, how could we find the most common answer or a 'typical' number of pets? 🐾
In this lesson, we will learn how to be data detectives! We will look at charts, pull out the number clues, and use them to find four special values: the mean, median, mode, and range. These values help us understand a whole group of numbers all at once.
Real-World Applicati...
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Key Concepts & Vocabulary
TermDefinitionExample
DataA collection of number facts or information.The number of goals scored in five soccer games: 2, 5, 3, 5, 0. This is our data set.
Bar ChartA graph that uses bars to show and compare data.A chart with a bar for each student showing how many jumping jacks they did. Taller bars mean more jumping jacks.
Mean (or Average)The value you get when you share everything equally. You find it by adding all the numbers together and then dividing by how many numbers there are.For the numbers 2, 3, 4, the mean is (2+3+4) ÷ 3 = 3.
MedianThe number that is in the middle of a list of numbers that are in order from least to greatest.For the numbers 2, 5, 8, the median is 5 because it's in the middle.
ModeThe number that appears most often in a data set. MOde means MOst.For the...
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Core Formulas
Finding the Mean
Mean = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}
Use this to find the 'fair share' or average value. First, add up all the numbers in your data set. Then, divide that total by the number of values you added.
Finding the Median
1. Order the numbers. 2. Find the middle.
Use this to find the exact middle of your data. You MUST put the numbers in order from least to greatest first. Then, find the number in the very center of the list.
Finding the Mode
Look for the number that appears the MOst.
Use this to find the most popular or frequent value. Scan the list of numbers and count how many times each number appears. The one that shows up more than any other is the mode.
Finding the Range
Range = \text{Highest number} - \tex...
4 more steps in this tutorial
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Challenging
Three students sold raffle tickets. They sold 5, 7, and 9 tickets. A fourth student, Dan, sold some tickets too. If the mean (average) number of tickets sold was 6, how many tickets did Dan sell?
A.6
B.3
C.21
D.4
Challenging
Which of these data sets has a mode of 4, a range of 5, and a median of 4?
A.4, 4, 5, 8, 9
B.1, 4, 4, 5, 10
C.3, 4, 4, 4, 8
D.4, 4, 4, 8, 9
Challenging
Four friends have stickers. The number of stickers they have are 2, 4, 4, 6. What is the difference between the mean and the median number of stickers?
A.0
B.1
C.2
D.4
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