Question

For the 2 years, a scientist has recorded the amount of rainfall that London and Berlin received each month. The box-and-whisker plots below show the distribution of his data.

Which rainfall amount represents the median in London and the upper extreme in Berlin?

A. 2.45 inches
B. 1.6 inches
C. 2.1 inches
D. 1.85 inches

Answer 1

C (2.1 inches)

Explanation:

In a box-and-whisker plot, the line that is located inside the rectangle will always be the median. We are looking for the median rainfall in London, and the line inside the box is directly on 2.1.

The point at the end of the furthest line on the right will always be the upper extreme. On Berlin's box-and-whisker plot, the upper extreme point is also under 2.1.

We are looking for a number on the number line that works with both the median in London and the upper extreme in Berlin, which is 2.1. Therefore, the answer is C.

Answer 2

Explanation:

To find the median in London, we look for the middle value of the data set. In the London box-and-whisker plot, the median is represented by the horizontal line inside the box, which is located between the 2nd and 3rd quartiles. From the plot, we can see that the median rainfall amount in London is between 2.0 and 2.2 inches, so the answer is approximately (2.0 + 2.2) / 2 = 2.1 inches.

To find the upper extreme in Berlin, we look for the highest value in the data set. In the Berlin box-and-whisker plot, the upper extreme is represented by the dot above the upper whisker. From the plot, we can see that the highest rainfall amount in Berlin is approximately 1.85 inches.

Therefore, the answer is (C) 2.1 inches for the median in London and (D) 1.85 inches for the upper extreme in Berlin.