Construct a box-and-whisker plot for the set of numbers.?
0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
I'm not looking for anybody to my work for me, I just really need some help.
I searched Google under the key words "box and whisker plot" to get these possible sources:
(Broken Link Removed)
http://ellerbruch.nmu.edu/cs255/jnord/boxplot.html
http://ellerbruch.nmu.edu/cs255/jnord/boxplot.html
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
I hope this helps. Thanks for asking.
Sure! I can help you understand how to construct a box-and-whisker plot for a given set of numbers.
To construct a box-and-whisker plot, you first need to organize your data in ascending order. So, let's arrange the given set of numbers in ascending order:
0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32
Now, we can begin constructing the box-and-whisker plot:
1. Find the Minimum: The minimum value is the smallest value in the data set, which is 0.08.
2. Find the Maximum: The maximum value is the largest value in the data set, which is 0.32.
3. Find the Median (Q2): The median, also known as the second quartile (Q2), is the middle value of the data set. In this case, we have 10 values, so the median is the average of the 5th and 6th values. (0.22 + 0.25) / 2 = 0.235.
4. Find the First Quartile (Q1): The first quartile (Q1) is the median of the lower half of the data set. Since we have an even number of values, we take the median of the lower 5 values, which is the average of the 2nd and 3rd values. (0.16 + 0.18) / 2 = 0.17.
5. Find the Third Quartile (Q3): The third quartile (Q3) is the median of the upper half of the data set. Again, we have an even number of values, so we take the median of the upper 5 values, which is the average of the 7th and 8th values. (0.27 + 0.27) / 2 = 0.27.
6. Construct the Box: Draw a line below Q1 and above Q3, and connect them with a vertical line. This creates a box that represents the middle 50% of the data.
7. Add the Median: Inside the box, draw a horizontal line to represent the median (Q2).
8. Create the Whiskers: From each end of the box, draw two lines extending to the minimum and maximum values. These lines are called the whiskers.
9. Show Any Outliers: If there are any values that are significantly smaller or larger than the rest of the data, they can be marked as outliers. However, in this case, there are no outliers.
So, that's how you construct a box-and-whisker plot for the given set of numbers: 0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32.