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Emilio works for the parks department of West Palm City. He tracked how many emails the mayor received about the city's parks each day last month. This box plot shows the results.
Emails received
10
20
30
40
50
60
What percent of the time did the mayor receive between 25 and 50 emails?
%
To calculate the percent of the time the mayor received between 25 and 50 emails, we need to first find the total number of days in which he received emails within that range.
Looking at the box plot, we can see that the interquartile range (IQR) goes from around 18 emails to around 48 emails. This means that between 25 and 50 emails fall within the IQR.
So, the percent of the time the mayor received between 25 and 50 emails is the percentage of the days within the IQR range. To find this, we need to calculate the number of days within the IQR range and then divide it by the total number of days in the month.
Let's say there were 30 days in the month, we can estimate that the IQR covers around 75% of the days (21-48 emails), including 25-50 emails. Therefore, the mayor received between 25 and 50 emails approximately 75% of the time.