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Those students can pair up with a student who has a more appropriate data set.Īs students work, suggest that they think carefully about the bin width they choose. Some students may have such a narrow range in their data that they can't really draw a histogram. Students will work individually as they draw a histogram using their data and line plot from Lesson 7. Is this a better visual representation of the data? Finally, add a title and label the axes.Īsk students to discuss what the histogram shows. Outline and color each bin based on the frequency table. These lines will be the edges of the bins. Add vertical lines at 5-second intervals, the bin width. Binīegin constructing the histogram by drawing a frequency scale on the vertical line, directly above the line plot. Work with students to list the data values and find the frequency for each bin. The value 15 is included in the interval from 15 to 19. For example, in this histogram, the bin for the interval from 10 to 15 will include the values 10, 11, 12, 13, and 14, but not 15. The data within each range will be shown as a bar, called a bin.Įxplain that a bin contains values from the left endpoint of the interval up to, but not including, the right endpoint. For this example, we will construct the histogram with a bin width, or range, of 5 seconds. In the line plot representation of this data set, observe that some of the data are clustered in 5-second widths.
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Monitor ELLs and check for understanding as appropriate. Since students can see the tool while you are explaining, it might not be necessary to present the instructions in writing as long as the students follow you attentively. Have students draw the histogram directly above the line plot so they can easily see how the two are connected.ĮLL: Use adequate pace, and present the instructions in writing. Have the students follow along with you to draw the histogram on their tablet. Once the idea of using intervals of constant width has been introduced, tell students that we can use a histogram for this set of data.
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Histograms sometimes have an interval with the most data values, referred to as the mode interval.We cannot read individual data values from a histogram, and we can't identify any measures of center or spread.However, unlike a line plot, which shows frequencies of individual data values, histograms show frequencies of intervals of values. Histograms are similar to line plots in that they show the shape and distribution of a data set.A histogram groups data values into intervals and shows the frequency (the number of data values) for each interval as the height of a bar.Students understand that a histogram shows the shape of the data, but that measures of center or spread cannot be found from the graph. They investigate how the bin width affects the shape of a histogram. Students are introduced to histograms, using the line plot to build them. Students make a histogram of their typical-student data and then write a summary of what the histogram shows.