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Box and Whisker Plots

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Box and Whisker Plots

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  1. Box and Whisker Plots

  2. Order numbers 3, 5, 4, 2, 1, 6, 8, 11, 14, 13, 6, 9, 10, 7 • First, order your numbers from least to greatest: 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14

  3. Median 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 • Then find the median (from the ordered list): • Cross off one number from each side until you reach the middle number (or numbers). 1, 2, 3, 4, 5, 6, 6, 7,8, 9, 10, 11, 13, 14

  4. Median (continued): 1, 2, 3, 4, 5, 6, 6, 7,8, 9, 10, 11, 13, 14 • If there are two numbers in the middle, Add them together: 6 + 7 = 13 • Then divide by 2: 13 ÷ 2 = 6.5 • The median is 6.5.

  5. Quartiles (page 1) 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 • Then split the numbers on left and right sides of the median: 1, 2, 3, 4, 5, 6, 6, │7, 8, 9, 10, 11, 13, 14

  6. Quartiles • Find the median for each half: 1, 2, 3, 4, 5, 6, 6 │ 7, 8, 9, 10, 11, 13, 14 Lower Upper Median = 4 Median = 10

  7. Quartiles 1, 2, 3, 4, 5, 6, 6 │ 7, 8, 9, 10, 11, 13, 14 • The median of the smaller numbers is called the LOWER QUARTILE. • The median of the larger numbers is called the UPPER QUARTILE.

  8. Number line 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 • Draw a number line using appropriate scale and intervals for the data 1 2 3 4 5 6 7 8 9 10 11 12 13 14

  9. Quartiles on number line 1, 2, 3, 4, 5, 6, 6,6.57, 8, 9, 10, 11, 13, 14 • Make marks above the number line for the lower quartile, median, and upper quartile. 1 2 3 4 5 6 7 8 9 10 11 12 13 14

  10. Box above number line • Draw a box connecting the marks at the LOWER and UPPER Quartiles. 1 2 3 4 5 6 7 8 9 10 11 12 13 14

  11. Extremes 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 • Put points above the line for the lower and upper extremes 1 2 3 4 5 6 7 8 9 10 11 12 13 14

  12. Whiskers 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14 • Draw lines (whiskers) that connect theextremes to the box. You are done! 1 2 3 4 5 6 7 8 9 10 11 12 13 14

  13. Vocabulary • Lower Quartile (first quartile)- • Median (second quartile) • Upper Quartile (third quartile) • Lower Extreme-largest value in the list of data • Upper Extreme-smallest value in the list of data • InterquartileRange-upper quartile minus lower quartile • Scale-where to begin and end the number line based on the range of your data • Interval-what to count by. Intervals must be equally spaced