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©G Dear 2010 – Not to be sold/Free to use Displaying Single Data Sets Applied Mathematic (Preliminary General 1) Range and IQR With Stem-and-Leaf Stage 6 - Year 11$ Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use

Interquartile Range = Q3 – Q1 Stem-and-Leaf Plots & the IQR. Interquartile Range = Q3 – Q1 Stem Leaf 0 1 2 7 1 0 1 1 5 2 2 2 3 5 7 3 0 2 5 7 8 9 4 3 3 4 5 6 5 0 0 1 2 1 2 3 First find median. 4 5 6 7 There are 27 scores. 8 9 10 11 12 Median = 14th score. (The middle score.) 13 14 15 16 17 18 19 20 21 22 23 Median = 32. 24 25 26 27 End of Slide

Interquartile Range = Q3 – Q1 Stem-and-Leaf Plots & the IQR. Interquartile Range = Q3 – Q1 Stem Leaf 0 1 2 7 1 0 1 1 5 2 2 2 3 5 7 3 0 2 5 7 8 9 4 3 3 4 5 6 5 0 0 1 2 1 2 3 Now find Q1. 4 5 6 7 There are 13 scores in the lower half. 8 9 10 11 12 13 14 Q1 = 7th score. (The middle score.) Q1 = 15. End of Slide

Interquartile Range = Q3 – Q1 Stem-and-Leaf Plots & the IQR. Interquartile Range = Q3 – Q1 Stem Leaf 0 1 2 7 1 0 1 1 5 2 2 2 3 5 7 3 0 2 5 7 8 9 4 3 3 4 5 6 5 0 0 1 2 Next find Q3. 7 There are 13 scores in the upper half. 1 14 15 16 2 17 3 18 4 Q3 = (14+7)st score. (The middle score.) 5 19 20 7 21 8 9 6 10 11 12 13 Q3 = 44. 21st score End of Slide

Interquartile Range = Q3 – Q1 Stem-and-Leaf Plots & the IQR. Interquartile Range = Q3 – Q1 Stem Leaf 0 1 2 7 1 0 1 1 5 2 2 2 3 5 7 3 0 2 5 7 8 9 4 3 3 4 5 6 5 0 0 1 2 IQR = 44 - 15 7 = 29 14 Range = 52 - 1 21 = 51 End of Slide

Interquartile Range = Q3 – Q1 Stem-and-Leaf Plots & the IQR. Interquartile Range = Q3 – Q1 Stem Leaf 0 3 4 6 7 9 9 1 1 3 5 2 0 1 3 6 3 0 2 3 4 9 4 3 4 5 5 2 Median = = (21+23)÷2 = 22 Q1 = = 9 Q3 = = 34 IQR = 34 - 9 = 25 Range = = 52 - 3 = 49 End of Show