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Stem and leaf diagrams and box plots Statistics

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Draw a stem and leaf diagram using the set of data below. 148147145103113 1359387111110 119107113110104 Work out the quartiles and hence draw a box plot Example 1

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Solution 87 93 10347 11001339 12 135 14578 n = 15 13 | 5 represents 135 Min = 87 Q1 = 104 Q2 = 111 Q3 = 135 Max = 148 Stem and leaf diagram Boxplot

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4050725160 5567465753 5542515949 5246644366 5464485852 Example 2 Draw a stem and leaf diagram using the set of data below. Work out the quartiles and hence draw a box plot

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40236689 5011223455789 604467 72 Stem and leaf diagram Solution n = 25 4 | 0 represents 40 Min = 40 Q1 = 48·5 Q2 = 53 Q3 = 59·5 Max = 72 Boxplot

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157166145154159136143145142 154152160147177135158141155 157150152145147152159142 Example 3 Draw a stem and leaf diagram using the set of data below. Work out the quartiles and hence draw a box plot

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1356 14122355577 150222445577899 1606 177 Solution Stem and leaf diagram n = 27 13 | 5 represents 135 Min = 135 Q1 = 145 Q2 = 152 Q3 = 157 Max = 177 Boxplot

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0.230.680.030.840.620.150.230.81 0.240.880.340.530.840.650.850.99 0.760.880.30 0.460.880.260.24 0.640.050.600.510.040.630.470.82 0.010.76 0.680.110.510.990.02 Example 4 Draw a stem and leaf diagram using the set of data below. Work out the quartiles and hence draw a box plot

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012345 115 233446 3004 467 5113 60234588 7666 812445888 999 Solution Stem and leaf diagram n = 40 2 | 3 represents 0.23 Min = 0·01 Q1 = 0·235 Q2 = 0·52 Q3 = 0·815 Max = 0·99 Boxplot

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