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Analyzing graphs and histograms

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1 Analyzing graphs and histograms
Today’s Lesson: What: Analyzing graphs and histograms Why: . . . so I can review and analyze the circle graph, line plot, stem-and-leaf plot, and frequency table; and to create and analyze histograms (emphasis on histograms).

2 How does a histogram differ from a traditional bar graph?

3 When is it useful to display data with a histogram?

4 Vocabulary: Circle Graph-- used to show parts out of a larger ___________________ . The entire circle represents 100%. Line Plot– used to show _______________________ of data along a number line. Stem-and-Leaf Plot– used to organize data by ______________________________. The stem represents the greatest place value digits, and the leaves represent the __________________ place value digits. Frequency Table– used to organize intervals of numerical data according to how often each interval ________________________ (frequency). Histogram-- uses bars to represent equal ____________________ of numerical data. Each bar represents an interval. Bars in a histogram MUST _________________ ! Height of each bar represents the ________________________ for that interval of data. whole frequency place value smallest occurs intervals TOUCH frequency

5 Savings (6%) Food (33%) No

6 REMEMBER! For a group of numbers, the MEAN means AVERAGE; the MEDIAN means MIDDLE; and the MODE means MOST FREQUENT!!! 9 3 63 degrees 38 degrees yes

7 27 students 7 7 yes Yes. The outlier is “3.”

8 histograms: Again, a histogram is a type of bar graph– except that the bars show equal ______________ of numerical data. The height of each bar represents the _____________________, while the width of each bar represents how big each interval is. We often use a frequency table of data in order to create a histogram. intervals frequency

9 3 3 8 10 5 2 Create a histogram from a frequency table:
The below frequency table is using intervals of _______________________. Fill-in the frequency column and create the histogram. REMEMBER, the bars must ______________________________!! five TOUCH 3 3 8 10 5 2

10 Analyze the graph: intervals of 10 11 19
Overall, the class performed well. The majority scored a B or higher, while only 3 scored below a C.

11 Create a histogram from our class data!!
Let’s survey the students in our class to see how many pets we own! We will record our data in the below frequency table. Then, we will create a histogram from the data.

12 Wrap-it-Up/Summary: How does a histogram differ from a traditional bar graph? When is it useful to display data with a histogram? A histogram measures how FREQUENT NUMBER-RANGES occur, while a traditional bar graph measures THINGS. When it is useful to see a quick visual for both the overall range and the interval ranges of numeric data– like seeing test scores for a class arranged in grade intervals.

13 END OF LESSON


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