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Study Guide and Intervention (continued) - MathnMind

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13-4<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />

Measures of Variation<br />

Range A measure of variation called the range describes the spread of numbers in a set<br />

of data. The range of a set of data is the difference between the highest <strong>and</strong> the lowest value.<br />

Example 1<br />

The number of wins for the baseball teams<br />

of the American League Central Division are shown at<br />

the right. Find the range of the number of wins.<br />

The greatest number of wins is 95 <strong>and</strong> the least number of<br />

wins is 69: 95 69 26.<br />

The range is 26.<br />

Source: cbs.sportsline.com<br />

Example 2<br />

Find the range of the student grades below.<br />

58, 95, 72, 85, 84, 88, 91, 92, 93, 45, 80, 81, 92, 93, 50, 79, 84<br />

Since the highest score is 95 <strong>and</strong> the lowest score is 45, the range is 95 45 or 50.<br />

Exercises<br />

Find the range of each set of data.<br />

1. Month Days Below 32F<br />

2.<br />

November 5<br />

December 20<br />

January 21<br />

February 15<br />

March 8<br />

3. 4, 5, 5, 4, 4, 6, 5, 5 4. 1, 7, 12, 10<br />

5. 3, 0, 4, 9, 6, 4, 0, 1 6. 1.5, 0.5, 2, 3, 2.5<br />

7. Stem | 8.<br />

Leaf<br />

1 | 234678<br />

2 | 1556789<br />

3 | 0023 1⏐2 12<br />

Stem | Leaf<br />

18 | 3467<br />

19 | 004<br />

20 | 122388<br />

21 | 347 18⏐3 183<br />

9. RACING In five pre-race trials, a stock car driver recorded the following speeds in miles<br />

per hour: 155, 158, 163, 187, 172. Find the range.<br />

10. SWIMMING The swimming times in seconds for the 50-yard butterfly were<br />

36.30, 35.00, 31.60, 34.00, 35.52, 36.39, 38.87, <strong>and</strong> 41.62. Find the range.<br />

© Glencoe/McGraw-Hill 799 Glencoe Algebra 1<br />

0<br />

<br />

<br />

<br />

<br />

<br />

<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

Major League Final<br />

St<strong>and</strong>ings, 2000<br />

7<br />

Team Wins<br />

Chicago White Sox 95<br />

Clevel<strong>and</strong> Indians 90<br />

Detroit Tigers 79<br />

Kansas City Royals 77<br />

Minnesota Twins 69<br />

Lesson 13-4

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