Question

The heights, in feet, of 12 trees in a park are shown below.
8, 11, 14, 16, 17, 21, 21, 24, 27, 31, 43, 47
Use the drop-down menus to explain the interquartile range of the data.
Click the arrows to choose an answer from each menu.
The interquartile range helps tell the center
median
Choose...
Y of the data around the
The interquartile range, which is 39
Y
of the heights of the trees.
feet, represents

Answer 1

The interquartile range of the heights is of 17, which represents the middle 50% of heights of the trees.

What are the median and the quartiles of a data-set?

• The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

• The first quartile is the median of the first half of the data-set.

• The third quartile is the median of the second half of the data-set.

• The interquartile range is the difference between the third and the first quartile, and represents the middle 50% of the measures.

For this data-set, we have that:

• The first half of the data-set is 8, 11, 14, 16, 17, hence the first quartile is of 14.

• The second half of the data-set is 24, 27, 31, 43, 47, hence the third quartile is of 31.

Then the IQR is:

IQR = 31 - 14 = 17.

The interquartile range is of 17, which represents the middle 50% of heights of the trees.

More can be learned about interquartile range at https://brainly.com/question/17083142

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