Mathematics
Grade 6
15 min
Range (In Steps)
Range (In Steps)
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the smallest (minimum) and largest (maximum) values in a given set of numbers.
Define the term 'range' as a measure of the spread of data.
Order a set of numbers from least to greatest to facilitate finding minimum and maximum values.
Calculate the range of a data set by subtracting the minimum value from the maximum value.
Explain what a larger or smaller range indicates about a data set.
Apply the concept of range to analyze simple real-world numerical data.
Have you ever wondered how much difference there is between the highest and lowest temperatures in a day? 🌡️ Or how spread out your test scores are?
In this lesson, you'll learn about 'range,' a simple but powerful way to understand how spread out a set of numbers...
2
Key Concepts & Vocabulary
TermDefinitionExample
Data SetA collection of numbers or information, often related to a specific topic.The heights of students in a class: {140 cm, 135 cm, 142 cm, 138 cm}.
Minimum ValueThe smallest number in a data set.In {5, 12, 3, 8}, the minimum value is 3.
Maximum ValueThe largest number in a data set.In {5, 12, 3, 8}, the maximum value is 12.
RangeThe difference between the maximum (largest) and minimum (smallest) values in a data set. It tells us how spread out the numbers are.For {5, 12, 3, 8}, Range = 12 - 3 = 9.
Ordering DataArranging numbers in a data set from smallest to largest (ascending order) or largest to smallest (descending order). This helps find the minimum and maximum easily.Ordering {7, 2, 9, 4} from smallest to largest gives {2, 4, 7, 9}.
DifferenceThe result you...
3
Core Formulas
Range Formula
$\text{Range} = \text{Maximum Value} - \text{Minimum Value}$
This formula is used to calculate the spread of a data set by finding the difference between its highest and lowest values.
Finding the Maximum Value
Identify the largest number in the data set.
Look through all the numbers and pick out the one that is numerically greatest. Ordering the data can make this step easier.
Finding the Minimum Value
Identify the smallest number in the data set.
Look through all the numbers and pick out the one that is numerically least. Ordering the data can make this step easier.
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
Which of the following data sets has a range of 22?
A.{10, 20, 22, 30}
B.{5, 11, 22, 28}
C.{22, 22, 22, 22}
D.{8, 15, 21, 30}
Challenging
The range of the data set {x, 15, 25, 8} is 20. The number 8 is the current minimum and 25 is the current maximum. What is a possible value for x?
A.10
B.20
C.28
D.35
Challenging
In a data set, the maximum value stays the same, but the minimum value increases. What happens to the range?
A.The range decreases.
B.The range increases.
C.The range stays the same.
D.It's impossible to tell.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free