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Our learning goal is to able to collect and display data. Learning Goal Assignments: 1.Make a Table 2.Range, Mean, Median, and Mode 3.Additional Data and Outliers 4.Bar Graphs 5.Frequency Tables and Histograms 6.Ordered Pairs 7.Line Graphs 8.Misleading Goals 9.Stem-and-Leaf Plots

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Learning Goal Assignment Learn to organize data in frequency tables and histograms. Course 1 6-5 Frequency Tables and Histograms

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6 th Grade Math HOMEWORK Page 292 #5-8 Course 1 6-5 Frequency Tables and Histograms

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6-5 Frequency Tables and Histograms Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

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Warm Up Create a bar graph of the data. Course 1 6-5 Frequency Tables and Histograms Favorite rides at fair: Ferris wheel = 5, loop the loop = 4, merry-go-round = 3, bumper cars = 7, sit and spin = 9

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Problem of the Day A set of 7 numbers has a mean of 36, a median of 37, a mode of 37, and a range of 6. What could the 7 numbers be? Possible answer: 33, 33, 36, 37, 37, 37, 39 Course 1 6-5 Frequency Tables and Histograms

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Learning Goal Assignment Learn to organize data in frequency tables and histograms. Course 1 6-5 Frequency Tables and Histograms

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Vocabulary frequency table cumulative frequency histogram Insert Lesson Title Here Course 1 6-5 Frequency Tables and Histograms

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Course 1 6-5 Frequency Tables and Histograms Additional Example 1: Making a Tally Table Students in Mr. Rays class recorded their fingerprint patterns. Which type of pattern do most students in Mr. Rays class have? whorlloopwhorlloop archarchloop whorl looparchwhorlarch archwhorlarchloop Make a tally table to organize the data.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Rays class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Rays class have? whorlloopwhorlloop archarchloop whorl looparchwhorlarch archwhorlarchloop Step 1: Make a column for each fingerprint pattern.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Rays class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Rays class have? whorlloopwhorlloop archarchloop whorl looparchwhorlarch archwhorlarchloop Step 1: Make a column for each fingerprint pattern. Step 2: For each fingerprint, make a tally mark in the appropriate column.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Rays class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Rays class have? whorlloopwhorlloop archarchloop whorl looparchwhorlarch archwhorlarchloop Step 1: Make a column for each fingerprint pattern. Step 2: For each fingerprint, make a tally mark in the appropriate column. Number of Fingerprint Patterns WhorlArchLoop l l l ll l l l l l l l l

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Course 1 6-5 Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Rays class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Rays class have? whorlloopwhorlloop archarchloop whorl looparchwhorlarch archwhorlarchloop Number of Fingerprint Patterns WhorlArchLoop l l l ll l l l l l l l l Most students in Mr. Rays class have an arch fingerprint.

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Course 1 6-5 Frequency Tables and Histograms A group of four tally marks with a line through it means five. llll = 5 llll llll = 10 Reading Math

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 1 Students in Ms. Gracies class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracies class have? Make a tally table to organize the data. whorlloopwhorlloop archwhorlloop whorl loopwhorlwhorlarch archwhorlarchloop

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracies class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracies class have? Step 1: Make a column for each fingerprint pattern. whorlloopwhorlloop archwhorlloop whorl loopwhorlwhorlarch archwhorlarchloop

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracies class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracies class have? Step 1: Make a column for each fingerprint pattern. whorlloopwhorlloop archwhorlloop whorl loopwhorlwhorlarch archwhorlarchloop Step 2: For each fingerprint, make a tally mark in the appropriate column.

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracies class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracies class have? Step 1: Make a column for each fingerprint pattern. whorlloopwhorlloop archwhorlloop whorl loopwhorlwhorlarch archwhorlarchloop Step 2: For each fingerprint, make a tally mark in the appropriate column. Number of Fingerprint Patterns WhorlArchLoop l l l l l l l

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracies class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracies class have? whorlloopwhorlloop archwhorlloop whorl loopwhorlwhorlarch archwhorlarchloop Number of Fingerprint Patterns WhorlArchLoop l l l l l l l Most students in Ms. Gracies class have a whorl fingerprint.

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Course 1 6-5 Frequency Tables and Histograms A frequency table tells the number of times an event, category, or group occurs. The cumulative frequency column shows a running total of all frequencies.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 2: Making a Cumulative Frequency Table Step 1: Make a row for each pattern. Step 2: The frequency is how many times each pattern occurred. Number of Fingerprint Patterns Fingerprint PatternFrequencyCumulative Frequency Whorl Arch Loop Step 3: Find the cumulative frequency for each row by adding all frequency values above or in that row. 6 5 11 16 55 Use the tally table in Additional Example 1 to make a cumulative frequency table.

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Course 1 6-5 Frequency Tables and Histograms Try This: Additional Example 2 Step 1: Make a row for each pattern. Step 2: The frequency is how many times each pattern occurred. Number of Fingerprint Patterns Fingerprint PatternFrequencyCumulative Frequency Whorl Arch Loop Step 3: Find the cumulative frequency for each row by adding all frequency values above or in that row. 4 5 11 16 77 Use the tally table in Try This: Example 1 to make a cumulative frequency table.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 3: Making a Frequency Table with Intervals Use the data in the table to make a frequency table with intervals. Number of Pages Read per Student Last Weekend 121540197 522343718 Step 1: Choose equal intervals. Step 2: Find the number of data values in each interval. Write these numbers in the Frequency row.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 3 Continued Number of Pages Read per Student Last Weekend Number 1–1011–2021–3031–40 Frequency This table shows that 2 students read between 1 and 10 pages, 4 students read between 11 and 20 pages, and so on. 24 1 3 Number of Pages Read per Student Last Weekend 121540197 522343718

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 3 Use the data in the table to make a frequency table with intervals. Number of Pages Read per Student Last Weekend 17299197 527342138 Step 1: Choose equal intervals. Step 2: Find the number of data values in each interval. Write these numbers in the Frequency row.

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 3 Continued Number of Pages Read per Student Last Weekend Number 1–1011–2021–3031–40 Frequency This table shows that 3 students read between 1 and 10 pages, 2 students read between 11 and 20 pages, and so on. 32 3 2 Number of Pages Read per Student Last Weekend 17299197 527342138

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Course 1 6-5 Frequency Tables and Histograms A histogram is a bar graph that shows the number of data items that occur within each interval.

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Course 1 6-5 Frequency Tables and Histograms Additional Example 4: Making a Histogram Use the frequency table in Additional Example 3 to make a histogram. Step 1: Choose an appropriate scale and interval. Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap. Step 3: Title the graph and label the axes.

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Course 1 6-5 Frequency Tables and Histograms Try This: Example 4 Use the frequency table in Try This: Example 3 to make a histogram. Step 1: Choose an appropriate scale and interval. Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap. Step 3: Title the graph and label the axes. Number of Pages Read per Student Last Weekend Number of Pages Students

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Lesson Quiz: Part 1 1. Students listed the number of days they spent on vacation in one year. Make a tally table with intervals of 5. 2, 18, 5, 15, 7, 10, 1, 10, 4 16, 7, 11, 17, 3, 8, 14, 13, 10 Insert Lesson Title Here Course 1 6-5 Frequency Tables and Histograms Number of Days Spent on Vacation 1–56–1011–1516–20 |||||||| ||||||||

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Lesson Quiz 2. Use your tally table from problem 1 to make a frequency and cumulative frequency table. Insert Lesson Title Here Course 1 6-5 Frequency Tables and Histograms Number of Days Spent on Vacation Number of DaysFrequency Cumulative Frequency 1–555 6–10611 11–15415 16–20318

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