emilio works for the parks department of west palm city. he tracked how many emails the mayor received about…
emilio works for the parks department of west palm city. he tracked how many emails the mayor received about the citys parks each day last month. this box plot shows the results. what percent of the time did the mayor receive between 25 and 50 emails? %
Answer
Explanation:
Step1: Recall box - plot properties
In a box - plot, the box represents the inter - quartile range (IQR), which contains 50% of the data. The lower quartile ($Q_1$) is at the start of the box and the upper quartile ($Q_3$) is at the end of the box. The median is the line inside the box. Also, the whiskers extend to the minimum and maximum non - outlier values. We assume that the box - plot has a lower quartile ($Q_1$) at 25 and an upper quartile ($Q_3$) at 50.
Step2: Determine the percentage of data
The inter - quartile range ($IQR = Q_3 - Q_1$) contains 50% of the data. Since the values from 25 to 50 represent the inter - quartile range of the box - plot, 50% of the data lies in this interval.
Answer:
50