Water boils at different temperatures based on its elevation above sea level. Rob and Ann are in different cities. They both boil water in a number of pots. Each person records the water temperature just as the water starts to boil. The higher the elevation is the lower the boiling point is and the lower the elevation is the higher the boiling point is. They use box plots to display their data. Compare the medians of the box plots. What inference can you make based on the median values?

Question

Water boils at different temperatures based on its elevation above sea level. Rob and Ann are in different cities. They both boil water in a number of pots. Each person records the water temperature just as the water starts to boil. The higher the elevation is the lower the boiling point is and the lower the elevation is the higher the boiling point is. They use box plots to display their data. Compare the medians of the box plots. What inference can you make based on the median​ values?
Rob's Temperature Data
94
95
96
97
98
Degrees Celsius

A box plot titled Rob Temperature Data has a number line labeled from 94.0 to 98.0. A box extends from 96.1 to 96.9, with a vertical line segment through the box at 96.5. A horizontal line segment extends from 95.7 to 96.1. A horizontal line segment extends from 96.9 to 97.4.
Ann's Temperature Data
94
95
96
97
98
Degrees Celsius

A box plot titled Ann Temperature Data has a number line labeled from 94.0 to 98.0. A box extends from 96.1 to 96.8, with a vertical line segment through the box at 96.4. A horizontal line segment extends from 95.7 to 96.1. A horizontal line segment extends from 96.8 to 97.3.
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Part 1
Which of the following is the best description of the​ medians?
A.The median from Rob's data is greater.
The median from Rob's data is greater.
B.The median from Ann's data is greater.
The median from Ann's data is greater.
C.The medians are about the same.
The medians are about the same.
Which of the following is the best description of the medians?

GPT-4o mini · Answer

To analyze the medians of Rob's and Ann's temperature data based on the description provided for their box plots:

Rob’s median: The vertical line in Rob's box plot is located at 96.5 degrees Celsius.
Ann’s median: The vertical line in Ann's box plot is located at 96.4 degrees Celsius.

Comparison of the Medians:

Rob's median is 96.5 °C.
Ann's median is 96.4 °C.

Given this comparison, we can conclude that:

A. The median from Rob's data is greater.

Thus, the correct option is A. The median from Rob's data is greater.