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

Warm Up Create a bar graph of the data. Course 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

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 Frequency Tables and Histograms

Learn to organize data in frequency tables and histograms. Course Frequency Tables and Histograms

Vocabulary frequency table cumulative frequency histogram Insert Lesson Title Here Course Frequency Tables and Histograms

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

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

Course Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s 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.

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

Course Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s 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

Course Frequency Tables and Histograms Try This: Example 1 Students in Ms. Gracie’s class recorded their pets. Which type of pets do more students in Ms. Gracie’s class have? Make a tally table to organize the data. dogcatdogcat fishdogcat dog catdogdogfish fishdogfishcat

Course Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracie’s class recorded their pets. Which type of pet do more students in Ms. Gracie’s class have? Step 1: Make a column for each pet pattern. dogcatdogcat fishdogcat dog catdogdogfish fishdogfishcat

Course Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracie’s class recorded their pet. Which type of pet do more students in Ms. Gracie’s class have? Step 1: Make a column for each pet. Step 2: For each pet, make a tally mark in the appropriate column. dogcatdogcat fishdogcat dog catdogdogfish fishdogfishcat

Course Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracie’s class recorded their pets. Which type of pet do more students in Ms. Gracie’s class have? Step 1: Make a column for each pet. Step 2: For each pet, make a tally mark in the appropriate column. Number of Pets dogcatdogcat fishdogcat dog catdogdogfish fishdogfishcat

Course Frequency Tables and Histograms Try This: Example 1 Continued Students in Ms. Gracie’s class recorded their pets. Which type of pet do more students in Ms. Gracie’s class have? Number of Pets DogFishCat 745 Most students in Ms. Gracie’s class have a dog. dogcatdogcat fishdogcat dog catdogdogfish fishdogfishcat

Course 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.

Course Frequency Tables and Histograms Additional Example 1 Continued Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s 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. Ray’s class have an arch fingerprint.

Course 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 Use the tally table in Additional Example 1 to make a cumulative frequency table.

Course 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 Pets PetFrequencyCumulative Frequency Dog Fish Dog Step 3: Find the cumulative frequency for each row by adding all frequency values above or in that row Use the tally table in Try This: Example 1 to make a cumulative frequency table.

Course 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 Step 1: Choose equal intervals. Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.

Course Frequency Tables and Histograms Additional Example 3 Continued Number of Pages Read per Student Last Weekend Number Frequency This table shows that 2 students read between 1 and 10 pages, 4 students read between 11 and 20 pages, and so on. Number of Pages Read per Student Last Weekend

Course Frequency Tables and Histograms Try This: Example 3 Use the data in the table to make a frequency table with intervals. Number of Miles Walked Last Week Step 1: Choose equal intervals. Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.

Course Frequency Tables and Histograms Try This: Example 3 Continued Number of Miles Walked Last Week Number Frequency This table shows that 3 students walked between 1 and 10 miles, 2 students walked between 11 and 20 miles, and so on. Number of Miles Walked Last Week

Course Frequency Tables and Histograms A histogram is a graph that shows the number of data items that occur within each interval. It is similar to a bar graph, but the bars touch.

Course 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.

Course 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.

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 Frequency Tables and Histograms Number of Days Spent on Vacation 1–56–1011–1516–20 |||||||| ||||||||

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