The range is the difference between the maximum and minimum values in a data set, giving the simplest measure of overall spread. It tells you the total span of the data from lowest to highest in a single number.
Range tells you how spread out your data is from end to end. If the tallest kid is 5 feet and the shortest is 4 feet, the range is 1 foot - that's the 'stretch' of heights.
Showing a random 20 of 50 problems.
Example 1
hard
Why does range, unlike standard deviation, use only TWO values from the data set?
Example 2
challenge
Set {a,b,c} has range r. If a is the min and c the max, express the IQR-like middle gap c−b plus b−a in terms of r.
Example 3
easy
Find the range of 4,9,11,15.
Example 4
challenge
A set of 4 distinct positive integers has range 5 and the smallest value 2. What is the maximum possible median?
Example 5
easy
Find the range of −3,0,4.Find the range of this data set with a negative value.
Example 6
easy
Find the range of 9,9,1,9.Repeated values don't change the extremes. Find the range.
Example 7
medium
Set A has range 12. Adding 5 to every value, find the new range.
Example 8
medium
Two basketball players' points per game — Player A: 10, 12, 11, 13, 9. Player B: 5, 20, 8, 18, 4. Who is more consistent?
Example 9
medium
Why is range a weak measure of spread for data with one extreme outlier?
Example 10
easy
Find the range of −5,−2,0,3.
Example 11
easy
Find the range of 99,99,99,100.
Example 12
medium
Class A range =30; Class B range =60. Which class has more spread test scores?
Example 13
medium
Data set {5,9,x,14,20} has range 18. Find all possible values of x.
Example 14
easy
Find the range of 2.5,1.5,4.0.Find the range of this decimal data set.
Example 15
medium
A set has maximum 30 and range 18. Find the minimum.
Example 16
medium
A data set has range 15 and minimum 8. Find the maximum.
Example 17
hard
A data set has minimum −12 and range 50. What is the maximum?
Example 18
hard
Can the range of a data set ever be negative? Why or why not?
Example 19
medium
Daily highs were 68,72,65,80,70. Find the range.Find the range of daily high temperatures.
Example 20
hard
Removing the largest value from {8,12,15,22,50}, what is the new range?