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Section 6.7 Box-and-Whisker Plots

Section 6.7 Box-and-Whisker Plots. Objectives: Draw a box-and-whisker plot to organize real-life data Read and interpret a box-and-whisker plot of real-life data. Quartiles : three numbers that separate a set of data into four parts.

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Section 6.7 Box-and-Whisker Plots

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  1. Section 6.7Box-and-Whisker Plots Objectives: Draw a box-and-whisker plot to organize real-life data Read and interpret a box-and-whisker plot of real-life data

  2. Quartiles: three numbers that separate a set of data into four parts. • First quartile(Q1) is the median of the lower half of the data. • Second quartile(Q2) (or median) separates the data into two halves: the numbers that are below the median and the numbers that are above the median • Third quartile(Q3) is the median of the upper half of the data Box-and-Whisker plot:a data display that divides a set of data into four parts. The box represents half of the data. The segments, or whiskers, extend to the least and greatest data items.

  3. Determine the values of the Q1, Q2, Q3, lower extreme, upper extreme, IQR and range of the box-and-whisker plot given. Lower extreme: the lowest value in the set of dataUpper extreme: the highest value in the set of dataInterquartile range (IQR): the difference between the upper and lower quartilesRange: the difference between the lower and upper extreme

  4. Finding Quartiles:Begin by writing the numbers in increasing order. You must find the second quartile before you find the first and third quartiles. (Recall the method to find the median) Drawing a box-and-whisker plot: Draw a number line that includes the least number and the greatest number in the data set. Plot the lower extreme, the first quartile, the second quartile, the third quartile, and the upper extreme. Draw a line from the lower extreme to the upper extreme below your number line. Plot the same points on that line. The “box” extends from the first to the third quartile. Draw a vertical line in the box at the second quartile. The “whiskers” connect the box to the lower extreme and upper extreme.

  5. EX: Find the first, second and third quartiles of the data. • 1. 1, 2, 3, 1, 2, 1, 2, 1, 2 • 2. 12, 30, 19, 15, 18, 22

  6. 3. Ages of horses in a stable • 2, 5, 12, 3, 18, 23, 7, 8, 11, 24, 4, 10, 3, 5, 12 EX: Draw a box-and-whisker plot of the data

  7. 4. You wanted to exhibit the attendance at an early showing of a movie for a month (29 days) at your local theater. • 48, 60, 40, 68, 51, 47, 57, 41, 65, 61, 20, 65, 49, 34, 63, 53, 52, 35, 45, 35, 65, 65, 48, 36, 24, 53, 64, 48, 40 EX: Draw a box-and-whisker plot of the data

  8. COMMON ERROR:When first learning to draw box-and-whisker plots, students may think that the longer a whisker or a half of box, the more data values it represents. Remember that each whisker and each division of the box always represent one quarter (25%) of the data, no mater how the lengths compare.

  9. 6.7 p.37812 – 22 evens, 25 – 29 all, 31 – 33 all, 36, 38, 44, 46 18 questions

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