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Study Guide and Intervention (continued) - MathnMind

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13-3<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

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

Histograms<br />

Interpret Data in Histograms A histogram is a bar graph in which the data are<br />

organized into equal intervals. In a histogram, the horizontal axis shows the range of data<br />

values separated into measurement classes, <strong>and</strong> the vertical axis shows the number of<br />

values, or frequency, in each class.<br />

Example<br />

SCHOOL Answer each question<br />

about the histogram shown.<br />

a. In what measurement class does the<br />

median occur?<br />

First add the frequencies to determine the<br />

number of state scores:<br />

1 1 6 12 24 7 51. There are<br />

51 scores. Therefore, the middle data value is the<br />

26th value. The median value is in the 21.1–22.1<br />

measurement class.<br />

b. Describe the distribution of the data.<br />

• Only two states have a composite score less than 19.1.<br />

• Almost half of the states have a composite score in the 21.1–22.1 range.<br />

• More than half of the states have a composite score above 21.1.<br />

• The distribution is skewed to the right.<br />

Exercises<br />

For each histogram, answer the following.<br />

• In what measurement class does the median occur?<br />

• Describe the distribution of the data.<br />

1. 2.<br />

Frequency<br />

Record Lowest Temperature (Celsius)<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

70–<br />

60 60–<br />

50 50–<br />

40 40–<br />

30 30–<br />

20 20–<br />

by State*<br />

10<br />

Celsius Temperature<br />

*Includes Washington, DC<br />

Source: Almanac 2001<br />

20<br />

15<br />

10<br />

5<br />

0<br />

15–25 25–35 35–45 45–55 55–65<br />

Age (years)<br />

© Glencoe/McGraw-Hill 793 Glencoe Algebra 1<br />

Frequency<br />

(millions)<br />

ACT Average Composite Scores, 2001<br />

by State*<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

17.1– 18.1– 19.1– 20.1– 21.1– 22.1–<br />

18.1 19.1 20.1 21.1 22.1 23.1<br />

Score<br />

*Includes Washington, DC<br />

Frequency<br />

Source: www.act.org<br />

Hourly U.S. Workers, 2000<br />

Source: The World Almanac<br />

Lesson 13-3

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