Question

the mountain view ski resort kept track of the number of visitors they had each weekend during their busy season. this box plot shows the results. ski resort visitors what percent of the time did mountain view get at least 4,000 visitors? %

Explanation:

Step1: Recall box plot properties

A box plot (box - and - whisker plot) divides data into four quartiles. Each quartile represents approximately 25% of the data. The lower quartile (Q1) is the value where 25% of the data is below it, the median (Q2) is where 50% of the data is below it, and the upper quartile (Q3) is where 75% of the data is below it. The data points at or above the lower boundary of the box (the first quartile's position or the start of the box) can be analyzed. In a box plot, the box starts at the first quartile (Q1) and ends at the third quartile (Q3), and the whiskers extend to the minimum and maximum values. The key idea here is that the data within the box and above the box represents a certain percentage of the total data.

In a box plot, the data is divided such that the part of the data from the lower quartile (the start of the box) to the maximum represents 75% of the data? Wait, no. Wait, the box plot has the following: the minimum, Q1 (25th percentile), median (50th percentile), Q3 (75th percentile), and maximum. So the data that is at or above Q1 (the start of the box) is the data from Q1 to maximum. Since Q1 is the 25th percentile (25% of data is below Q1), then the percentage of data at or above Q1 is \(100\% - 25\%=75\%\).

Looking at the box plot for the ski resort visitors, the box starts at 4000 (since the left - hand side of the box is at 4000 on the number line). So 4000 is the first quartile (Q1) or the start of the box. So the data that is at least 4000 (greater than or equal to 4000) is the data from Q1 to maximum. Since 25% of the data is below Q1 (4000), the percentage of data that is at least 4000 is \(100 - 25=75\%\).

Answer:

75