Question

These box plots show shark attack data for the years 2005 to 2014 in Florida and Australia which statement best compares the spreads of the data sets

Answer 1

D.

Explanation:

Answer 2

Answer: D. The interquartile range for Forida is 11, greater than interquartile range for Australia, 4.

Explanation:

We know that in a box-plot the vertical line between the box which divide the box into two parts represents the median of the data.

We can see that box plots are skewed .

In this case the Interquartile range is a better measure of spread than the range because the data is affected by outliers.

From the given box plots which shows the shark attack data, it can be seen that the
`\text{Interquartile range for Florida= }Q_3-Q_1=28-17=11`

And
`\text{Interquartile range fro Australia= }Q_3-Q_1=14-10=4`

∴ The statement best compares the spreads of the data sets : The interquartile range for Forida is 11, greater than interquartile range for Australia, 4.