Question

Hey Guys! I need some help. This is the question... Sara travels often for her job. The miles she traveled for the last seven work days are shown.
88, 72, 91, 65, 86, 93, 97

Which is the interquartile range of Sara's daily miles?

Answer 1

Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.

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 of the quartiles.

The ordered data-set is given as follows:

65, 72, 86, 88, 91, 93, 97

There are 7 elements, hence the median is the 4th element, of 88. Then:

• The first half is 65, 72, 86.

• The second half is 91, 93, 97.

Since the quartiles are the medians of each half, the have that:

• The first quartile is of 72 miles.

• The third quartile is of 93 miles.

• The interquartile range is of 93 - 72 = 21 miles.

More can be learned about the median of a data-set at brainly.com/question/3876456

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