Question

Water boils at different temperatures based on its elevation above sea level. Ann and Rob 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?
Ann's Temperature Data
93
94
95
96
Degrees Celsius



A box plot titled Ann Temperature Data has a number line labeled from 93.0 to 96.0. A box extends from 94.5 to 95.4, with a vertical line segment through the box at 94.9. A horizontal line segment extends from 94.1 to 94.5. A horizontal line segment extends from 95.4 to 95.7.
Rob's Temperature Data
93
94
95
96
Degrees Celsius



A box plot titled Rob Temperature Data has a number line labeled from 93.0 to 96.0. A box extends from 94.5 to 95.3, with a vertical line segment through the box at 94.9. A horizontal line segment extends from 94.2 to 94.5. A horizontal line segment extends from 95.3 to 95.7.
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Part 1
Which of the following is the best description of the​ medians?

Answer 1

Both medians are the same: 94.9°C.
Inference: There is no difference in the typical (median) boiling temperature for Ann and Rob — they are likely at similar elevations (or the same atmospheric pressure).