Given that the interquartile range of the two data sets.
We need to conclude about the interquartile range of the two data sets.
Interquartile range of School 1:
The Interquartile range can be determined using the formula,
[tex]Range =Q_3-Q_1[/tex]
From the figure, the value of [tex]Q_3=86[/tex] and [tex]Q_1=76[/tex]
Substituting the values, we get;
[tex]Range = 86-76=10[/tex]
The interquartile range of School 1 is 10
Interquartile range of School 2:
The interquartile range can be determined using the formula,
[tex]Range =Q_3-Q_1[/tex]
From the figure, the value of [tex]Q_3=90[/tex] and [tex]Q_1=80[/tex]
Substituting the values, we get;
[tex]Range = 90-80=10[/tex]
The interquartile range of School 2 is 10
Thus, the interquartile range for the two sets of data are the same.
Hence, Option C is the correct answer.