Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;
Writing out each score on the dot plot to calculate the statistical values :
Emma's Scores:
6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14
Q1 = (5th + 6th) terms
Q1 = (9 + 9) / 2 = 9
Q3 = (12 + 13) ÷ 2 = 12.5
IQR = 12.5 - 9 = 3.5
Sally's Scores:
6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = (10 + 11) ÷ 2 = 10.5
IQR = 10.5 - 7.5 = 3
Olivia's Scores:
6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = (10 + 10) ÷ 2 = 10
IQR = 10 - 7.5 = 2.5
Therefore, ordering the IQR in descending order :
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