The box plot that summarizes the data, 2,3,5,5,6,7,8,8,11, is shown below in the diagram.
How to draw a box plot for a data set?
The five-number summary (min and max values, lower and upper quartiles, and the median) are the values used to draw a box plot.
Given the data set, 2,3,5,5,6,7,8,8,11, first find the five-number summary as follows:
1. Min: The smallest value in the dataset is 2.
2. Q1 (First Quartile): This is the median of the first half of the dataset. In this case, {2, 3, 5, 5} has a median of 4.
3. Median (Q2 or Second Quartile): The middle value of the dataset when arranged in ascending order is 6.
4. Q3 (Third Quartile): This is the median of the second half of the dataset. In this case, {7, 8, 8, 11} has a median of 8.
5. Maximum: The largest value in the dataset is 11.
Therefore, the box plot that correctly summarizes the data is shown below.