Question

use the box - and - whisker plot to answer the questions below.
(a) which of the following intervals gives the middle 50% of the data?
42 to 52
45 to 52
52 to 55
45 to 55
(b) what is the difference of the longest length and the shortest length of fish caught during the competition? (that is,
what is the range of the data?)
(c) which of these best describes the lengths (in centimeters) of the fish caught during the competition?
there were more fish with a length under 52 than with a length over 52.
there were more fish with a length over 52 than with a length under 52.
the same number of fish had a length under 52 as had a length over 52.

Explanation:

Step1: Recall box - and - whisker plot properties

The middle 50% of the data is represented by the inter - quartile range (IQR), which is the length of the box in a box - and - whisker plot.

Step2: Analyze the box - and - whisker plot

Looking at the box - and - whisker plot, the box starts at 45 and ends at 55. So the interval for the middle 50% of the data is from 45 to 55.

Answer:

(a) 45 to 55