Question

What conclusions can be made about the Interquartile range of the two data sets? :)

Answer 1

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,

`Range =Q_3-Q_1`

From the figure, the value of
`Q_3=86` and
`Q_1=76`

Substituting the values, we get;

`Range = 86-76=10`

The interquartile range of School 1 is 10

Interquartile range of School 2:

The interquartile range can be determined using the formula,

`Range =Q_3-Q_1`

From the figure, the value of
`Q_3=90` and
`Q_1=80`

Substituting the values, we get;

`Range = 90-80=10`

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.