Since there are 1,284 students at the school and Latisha used a representative sample, we can estimate the percent of students in each category based on the box plot.
To estimate percentage for students using 800 or more minutes, we look at the higher whisker of the box plot which starts at 800 and ends at 1000 minutes. Since this whisker represents the upper 25% of the sample (the upper quartile), we can estimate that 25% of the students use 800 or more minutes.
For students using 600 to 800 minutes, we look at the box part of the box plot. The box starts at 600 and ends at 800 minutes. Half of the students will be in this range which is 50%.
Lastly, to determine the percent of students using 600 or fewer minutes, we analyze the lower whisker of the box plot which starts at 400 and ends at 600 minutes. Similar to the higher whisker, the lower whisker also represents the lower 25% of the sample data. So we can estimate that 25% of students use 600 or fewer minutes.
In summary,
- 25% of students use 800 or more minutes
- 50% of students use 600 to 800 minutes
- 25% of students use 600 or fewer minutes
There are 1,284
students at Latisha’s school. She surveys a representative sample of students about their monthly cell phone usage. The results are shown in the box plot.
The box plot is titled Monthly Cell Phone Usage. The number line is labeled Number of Minutes and goes from four hundred to one thousand by a scale of one hundred. The whiskers range from four hundred to one thousand minutes, and the box ranges from six hundred to eight hundred minutes. A line divides the box at seven hundred minutes.
Use the box plot to make inferences about the population from the sample data.
Enter the correct answers in the boxes.
%
use 800
or more minutes
%
use 600
to 800
minutes
students use 600
or fewer minutes
1 answer