The Range of a Set up of Data

What is a Range in Math?

Definition:Therange of a set of data is the divergence betwixt the highest and lowest values in the prepare.

In the examples below, our get-go footstep is to order the data from least to greatest. We recommend that you exercise this, too. This is peculiarly important with large sets of data. Permit'due south take a closer look.

Gas jump Example ane: The Jaeger family collection through half dozen midwestern states on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices?

$i.79,  $one.61,  $one.96,  $two.09,  $1.84,  $ane.75

Solution: Ordering the data from least to greatest, we get:

$one.61,  $1.75,  $1.79,  $1.84,  $ane.96,  $2.09

highest - everyman = $2.09 - $1.61 = $0.48

Answer: $0.48

Blackboard Example 2: Ms. Kaiser listed 9 integers on the blackboard. What is the range of these integers?

14,-12,  7,  0,-5,-8,  17,-eleven,  19

Solution: Ordering the data from least to greatest, we get:

-12,-11,-8,-5,  0,  7,  xiv,  17,  19

highest - lowest = nineteen --12 = 19 ++12 =+31

Answer:+31

Marathon Example iii: A marathon race was completed past 5 participants. What is the range of times given in hours beneath?

2.vii hr,  8.3 hr,  3.five hr,  v.one 60 minutes,  4.nine hour

Solution: Ordering the data from least to greatest, we get:

2.7,  3.five,  iv.9,  five.1,  viii.3

highest - lowest = 8.3 hr - two.7 60 minutes = 5.6 hr

Respond: 5.6 hours

Summary: The range of a ready of data is the difference betwixt the highest and lowest values in the set. To find information technology, first social club the data from least to greatest. Then subtract the smallest value from the largest value in the set up.

Exercises

Directions: Click once in an Answer BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to betoken whether your answer is correct or incorrect. To start over, click CLEAR.

ane. Find the range of these distances run by six marathon runners:
ten km,  15 km,  12 km,  14 km,  8 km,  16 km
ii. Notice the range of these quiz scores:
93,  79,  83,  89,  90,  71,  85
3. Find the range of these race times given in seconds:
7.iii s,  viii.4 due south,  8.0 s,  vii.5 s,  9.4 s,  8.7 s,  9.1 southward
four. Employees at a retail store are paid the hourly wages listed below. What is the range of these hourly wages?
$7.50,  $9.25,  $viii.75,  $nine.fifty,  $7.25,  $8.fifty
v. In a game, points were won and lost, represented by integers. What is the range of points given beneath?
-xiv,+21,-17,+25,  0,-19,+11,-twenty,+18

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