Mathematics
Grade 4
15 min
Interpret charts to find mean, median, mode, and range
Interpret charts to find mean, median, mode, and range
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Introduction & Learning Objectives
Learning Objectives
Define mean, median, mode, and range.
Extract a set of data from a simple bar chart or pictograph.
Correctly order a set of numbers from least to greatest.
Calculate the mean of a data set.
Identify the median and mode of a data set.
Calculate the range of a data set.
Explain what each measure (mean, median, mode, range) tells us about a set of data.
Have you ever wondered what the 'average' score is for your favorite video game, or which type of pizza is the most popular among your friends? ๐ Let's find out how math helps us answer these questions!
In this lesson, we will learn how to read information from charts. We will then use that information to find four special numbers: the mean, median, mode, and range. These numbers help us un...
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Key Concepts & Vocabulary
TermDefinitionExample
Data SetA collection of numbers or pieces of information. We get our data set by reading the values from a chart.The number of goals scored in 5 soccer games: {5, 2, 2, 1, 5}. This is a data set.
ChartA picture that shows information using bars, lines, or symbols. We use charts to easily see and compare data.A bar chart showing how many students chose vanilla, chocolate, or strawberry ice cream.
Mean (or Average)The number you get when you add all the values in a data set together and then divide by the number of values. It gives you a 'typical' value.For the data set {2, 3, 4}, the sum is 2+3+4=9. There are 3 numbers. The mean is 9 รท 3 = 3.
MedianThe middle number in a data set when the numbers are listed in order from least to greatest.For the data set {2...
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Core Formulas
How to Find the Mean
Mean = \frac{\text{Sum of all values}}{\text{Number of values}}
Use this to find the average value. First, add up all the numbers from your chart. Then, count how many numbers you added. Finally, divide the sum by the count.
How to Find the Median
1. Order the data from least to greatest. 2. Find the middle number.
Use this to find the exact middle of your data. It's very important to put the numbers in order first! If you don't, you will get the wrong middle number.
How to Find the Mode
Look for the number that appears the most times.
Use this to find the most popular or common value in your data set. Count how many times each number appears and find the one with the highest count.
How to Find the Range
Range = \text{Highest Valu...
4 more steps in this tutorial
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Challenging
The data from a chart is {10, 12, 15, 15, 18}. If the highest value (18) is changed to 16, which measure will NOT change?
A.Mean
B.Range
C.Median and Mode
D.Mode only
Challenging
A data set from a chart is {5, 8, 10, 13}. A new value of 8 is added to the set. Which statement is true about the new data set?
A.The mean increased.
B.The range increased.
C.The median decreased.
D.The mode changed from 'no mode' to 8.
Challenging
A pictograph needs to show the number of pets for 5 friends. The data must have a mean of 4, a mode of 3, and a range of 5. Which of the following could be the data set?
A.{1, 3, 3, 5, 6}
B.{2, 3, 3, 5, 7}
C.{3, 3, 4, 5, 8}
D.{1, 3, 4, 4, 8}
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