The answer is that between 50% of the temperatures in Shanghai fall between 46°F and 78°F.
Identify the relevant quartiles:
The bottom whisker of the Shanghai boxplot extends to 39°F, representing the 25th percentile (Q1).
The top whisker extends to 82°F, representing the 75th percentile (Q3).
Calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 82°F - 39°F = 43°F
Identify the desired range:
We are interested in the percentage of temperatures between 46°F and 78°F.
Compare the desired range to the IQR:
78°F falls within the IQR (between Q3 and the upper whisker).
46°F falls below Q1 and the lower whisker.
Estimate the percentage:
Since 46°F falls outside the IQR and 78°F falls within the upper whisker, we can estimate that more than 50% but less than 75% of the temperatures in Shanghai fall between 46°F and 78°F.
Therefore, the answer is that between 50% of the temperatures in Shanghai fall between 46°F and 78°F.