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Daily Warm-Up 1. You subtract to find the ? of two numbers. 2. You divide to find the ? of two numbers. Copy and complete. 3. ? + 4 = ? ÷ 5 = 4 Find the sum, difference, product or quotient. ÷ 5 •

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**1.1 You will be able to read and interpret graphs to analyze data.**

Interpreting Graphs 1.1 You will be able to read and interpret graphs to analyze data.

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Vocabulary Data- information, facts, or numbers that describe something. Bar graph- a type of graph in which the lengths of bars are used to represent and compare data. Frequency table- a table that groups data into intervals. Histograms- a graph where data is organized into equal intervals. The height of each bar in a histogram shows the frequency of an interval.

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Bar Graphs The bar graph below shows the number of historically active volcanoes in four countries.

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**Frequency Tables and Histograms**

Use frequency tables to organize large sets of data into intervals. Example: the data shows the heights, in meters, of the tallest roller coasters in the world. Make a frequency table of the data. 66.4, 94.5, 68.3, 115, 62.5, 97, 66.4, 126.5, 63.4, 74.7, 63.4, 70.1, 66.4, 64.9, 63.7, 79, 63.4, 63.1, 62.5, 61.9, 71.6

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**Steps to Make a Frequency Table**

66.4, 94.5, 68.3, 115, 62.5, 97, 66.4, 126.5, 63.4, 74.7, 63.4, 70.1, 66.4, 64.9, 63.7, 79, 63.4, 63.1, 62.5, 61.9, 71.6 Choose equal sized intervals to fit the data. Tally the data in each interval. Write the frequency by totaling the tallies in each interval.

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Does it look like this?

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**Making a Histogram from our Frequency Table**

Draw and label the horizontal and vertical axes. Draw a bar to represent the frequency of each interval. The bars of neighboring intervals should touch. Write a Title.

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Does it look like this?

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**PRACTICE Use the bar graph to answer the following questions.**

About how many more historically active volcanoes does Chile have than Mexico? Which country has the least number of historically active volcanoes?

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**PRACTICE cont. Use our Histogram for the following questions.**

Which interval has the greatest number of roller coasters? When the next roller coaster between 60 and 130 meters tall is built, in what interval do you think it will be? Explain.

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QUIZ The histogram shows the number of people in different age groups taking evening classes during the fall term. Find the number of people who are 37 years old.

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QUIZ 2. The histogram shows the numbers of people in different age groups taking an Italian class. Find the number of people between the ages of 40 and 49.

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QUIZ 3. The number of counties for each of the four states Nebraska, North Dakota, South Dakota, and Montana are shown. Which state has the most number of counties?

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QUIZ 4. The bar graph shows the number of students with different colors of hair. How many more students have brown hair than blonde hair?

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QUIZ 5. The double bar graph shows the number of home runs hit by two opposing players over the last 5 years. Which player hit more home runs over this 5- year span?

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Homework Page 7: 2-4, 6-9, 12-17, 21-22

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