comparing box plots pdf

Box plots are often used for comparing the distributions of several groups of data, since they summarize the center and spread of the data very nicely. 11,12,12,13,14,14,14,16,18 The Box-and-Whisker Plots lesson from the LTF Middle Grades Guide will provide a good resource for preparing to teach this lesson. into a small project by having students collect data which interests them and then write a comparison of the data to turn in to the teacher or to present to the class. 3. Quartiles divide the data set into four equal parts. When making comparisons among the locations (medians) of various batches, a modified box pl ot called the notched box plot is useful. These are the mimimum, Q1, Median, Q 3, and maximum values. Draw a vertical line above the value of the median and complete the box. Store A’s median is about 43, and Store B’s is about 51. Show all 4 steps and work neatly below. The box plots show the distribution of the number of team wristbands sold daily by two different stores over the same time period. Comparing Groups using Box Plots: When comparing two groups a box-and-whisker plot is used A Sample size of at least 30 is needed to generalize about a population How can we tell if the groups are different? "No overlap in spreads" or so there IS a difference between group 'A' & 'B' “B is greater than A” Example 2: Use data set from Example 1 to calculate the minimum, LQ, UQ, maximum, range, and IQR. shown at the right. ! The median (second quartile) divides the data set into two halves. Store A’s box and right whisker are longer than Store B’s. Store A’s median Compare the centers of the box plots. Example: The numbers of first cousins of the students in a ninth-grade class are . five-number summary of the data set. Give a descriptive title to the graph. The box-and-whisker plots below show a class’ test scores for two tests.What conclusions can you make? - The _____ are the same for both tests. (Total for question 2 is 2 marks) Range Lower Quartile Median Upper Quartile Maximum (200_07.GD_D.01) Create, interpret, and compare dotplots (line plots., Draw a box plot for this information. Box-and-Whisker Plots About this Lesson This is a foundational lesson for box-and-whisker plots (boxplots), a graphical tool used ... and compare dotplots (line plots., stemplots, bar graphs, histograms, and boxplots. The notches are constructed using the formula: 4. 7) The accompanying box-and-whisker plots can be used to compare the annual incomes of three professions. 6. Create a box and whisker plot using this data: 77, 99, 112, 85, 117, 68, 63. this forms the left end of the box. Compare the shapes of the box plots. Page 2 of 6 Reference the picture below to see how a data set is separated into halves. a. Extend the “right whisker” to the maximum value. Draw a vertical line above the value of Q3, this forms the right end of the box. Based on the box-and-whisker plots, which statement is true? Then, construct a box-and-whisker plot with an ACCURATE number line! 282 Chapter 7 Data Analysis and Displays 7.2 Lesson Lesson Tutorials Key Vocabulary box-and-whisker plot, p. 282 quartiles, p. 282 Box-and-Whisker Plot A box-and-whisker plot displays a data set along a number line using medians. Extend the “left whisker” to the minimum value. 5. 7. Name _____ Date _____ Tons of Free Math Worksheets at: © www.mathworksheetsland.com Topic: Box and Whisker Plot- Worksheet 1 ANSWERS 1. The five numbers that make up a box-and-whisker plot are called the . Draw a box plot for this information. (1) The median income for nuclear engineers is greater than the income of all musicians. (2) The median income for police officers and musicians is the same. 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