Macaws are tropical birds that can live a very long time. The box plots below show the life spans (in years) of a random sample of Macaws that lived in captivity and a random sample that lived in the wild.
Which pieces of information can be gathered from these box plots?
A. On average, life spans were longer for the Macaws in the wild.
B. The life spans for all of the Macaws in captivity were longer than all of those in the wild.
C. The life spans for the Macaws in the wild varied noticeably more than those in captivity.
D. none of the above

C. The life spans for the Macaws in the wild varied noticeably more than those in captivity.

Step-by-step explanation:

A box plot displays the minimum, first quartile, median, third quartile, and maximum points in a set of data. A vertical line represents the median. The actual box represents the interquartile range.

The boxplot shows the life span of birds in captivity vs birds in the wild.

The data shows that the life span for birds in captivity is longer than those in the wild (look at the location of the box, it corresponds to higher numbers in the captive birds than the wild birds). This means A cannot be correct.

B can also not be correct. This is because the data overlaps. You can see, for example, that the lines on the wild plot are very long, which indicates that there is a lot of variety in the data. The numbers overlap with some of the numbers in the captive birds, highlighting that the lifespans for all Macaws in captivity were not longer than all of those in the wild.

C is true, as you can see from the spread of the data in the wild sample (the length of the box and lines). This suggests that there are lots of different lifespans present, indicating that it is varied. This contrasts with the captivity birds.

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